diff --git a/Makefile b/Makefile index 36d0a86..8214888 100644 --- a/Makefile +++ b/Makefile @@ -1,5 +1,5 @@ -PARAMETER_SET = 65 -IMPLEMENTATION_TYPE = ref +PARAMETER_SET ?= 65 +IMPLEMENTATION_TYPE ?= ref # -------------------------------------------------------------------- JASMINC ?= jasminc @@ -22,11 +22,17 @@ $(OUTPUT_FILE_NAME).s: $(IMPLEMENTATION_SOURCES) # -------------------------------------------------------------------- .PHONY: test test: $(OUTPUT_FILE_NAME).so - python3 -m pytest tests/ + python3 -m pytest \ + --parameter-set=$(PARAMETER_SET) \ + --implementation-type=$(IMPLEMENTATION_TYPE) \ + tests/ .PHONY: nist-drbg-kat-test nist-drbg-kat-test: $(OUTPUT_FILE_NAME).so - python3 -m pytest tests/test_nist_drbg_kats.py + python3 -m pytest \ + --parameter-set=$(PARAMETER_SET) \ + --implementation-type=$(IMPLEMENTATION_TYPE) \ + tests/test_nist_drbg_kats.py $(OUTPUT_FILE_NAME).so: $(OUTPUT_FILE_NAME).s $(CC) $^ -fPIC -shared -o $@ diff --git a/ref/ml_dsa_44/api.h b/ref/ml_dsa_44/api.h new file mode 100644 index 0000000..5061155 --- /dev/null +++ b/ref/ml_dsa_44/api.h @@ -0,0 +1,33 @@ +#ifndef ML_DSA_65_API_H +#define ML_DSA_65_API_H + +#define VERIFICATION_KEY_SIZE 1312 +#define SIGNING_KEY_SIZE 2560 +#define SIGNATURE_SIZE 2420 + +#include +#include + +void ml_dsa_44_keygen( + uint8_t verification_key[VERIFICATION_KEY_SIZE], + uint8_t signing_key[SIGNING_KEY_SIZE], + const uint8_t randomness[32] +); + +void ml_dsa_44_sign( + uint8_t signature[SIGNATURE_SIZE], + const uint8_t signing_key[SIGNING_KEY_SIZE], + const uint8_t *message, + const size_t message_size, + const uint8_t randomness[32] +); + +int ml_dsa_44_verify( + uint8_t verification_key[VERIFICATION_KEY_SIZE], + const uint8_t *message, + const size_t message_size, + const uint8_t signature[SIGNATURE_SIZE] +); + +#endif /* ML_DSA_65_API_H */ + diff --git a/ref/ml_dsa_44/arithmetic/modular.jinc b/ref/ml_dsa_44/arithmetic/modular.jinc new file mode 100644 index 0000000..1da3561 --- /dev/null +++ b/ref/ml_dsa_44/arithmetic/modular.jinc @@ -0,0 +1,63 @@ +require "../constants.jinc" + +param int INVERSE_OF_MODULUS_MOD_MONTGOMERY_R = 58_728_449; + +inline +fn montgomery_reduce(reg u64 a) -> reg u32 +{ + reg u32 a32; + reg u64 v64; + reg u32 t; + + // t = (int64_t)(int32_t)a*QINV; + a32 = (32s) a; + v64 = (64s) a32; + v64 *= INVERSE_OF_MODULUS_MOD_MONTGOMERY_R; + t = (32s) v64; + + // t = (a - (int64_t)t*Q) >> 32; + v64 = (64s) t; + v64 *= -MODULUS; + v64 += a; + v64 >>= 32; + t = (32s) v64; + + return t; +} + + +namespace coefficient { + inline + fn reduce32(reg u32 coefficient) -> reg u32 + { + reg u32 t quotient; + + // t = (coefficient + (1 << 22)) >> 23; + t = coefficient; + t += (1 << 22); + t = t >>s 23; + + // t = coefficient - t*Q; + quotient = t; + quotient *= MODULUS; + t = coefficient; + t -= quotient; + + return t; + } + + inline + fn conditionally_add_modulus(reg u32 coefficient) -> reg u32 { + reg u32 add_by; + reg u32 result; + + add_by = coefficient; + add_by >>s= 31; + add_by &= MODULUS; + + result = coefficient; + result += add_by; + + return result; + } +} diff --git a/ref/ml_dsa_44/arithmetic/ntt.jinc b/ref/ml_dsa_44/arithmetic/ntt.jinc new file mode 100644 index 0000000..3314785 --- /dev/null +++ b/ref/ml_dsa_44/arithmetic/ntt.jinc @@ -0,0 +1,172 @@ +require "modular.jinc" +require "../constants.jinc" + +u32[256] ZETAS_TIMES_MONTGOMERY_R = { + 25847, -2608894, -518909, 237124, -777960, -876248, 466468, 1826347, 2353451, -359251, -2091905, 3119733, -2884855, 3111497, 2680103, 2725464, + 1024112, -1079900, 3585928, -549488, -1119584, 2619752, -2108549, -2118186, -3859737, -1399561, -3277672, 1757237, -19422, 4010497, 280005, 2706023, + 95776, 3077325, 3530437, -1661693, -3592148, -2537516, 3915439, -3861115, -3043716, 3574422, -2867647, 3539968, -300467, 2348700, -539299, -1699267, + -1643818, 3505694, -3821735, 3507263, -2140649, -1600420, 3699596, 811944, 531354, 954230, 3881043, 3900724, -2556880, 2071892, -2797779, -3930395, + -1528703, -3677745, -3041255, -1452451, 3475950, 2176455, -1585221, -1257611, 1939314, -4083598, -1000202, -3190144, -3157330, -3632928, 126922, 3412210, + -983419, 2147896, 2715295, -2967645, -3693493, -411027, -2477047, -671102, -1228525, -22981, -1308169, -381987, 1349076, 1852771, -1430430, -3343383, + 264944, 508951, 3097992, 44288, -1100098, 904516, 3958618, -3724342, -8578, 1653064, -3249728, 2389356, -210977, 759969, -1316856, 189548, + -3553272, 3159746, -1851402, -2409325, -177440, 1315589, 1341330, 1285669, -1584928, -812732, -1439742, -3019102, -3881060, -3628969, 3839961, 2091667, + + 3407706, 2316500, 3817976, -3342478, 2244091, -2446433, -3562462, 266997, 2434439, -1235728, 3513181, -3520352, -3759364, -1197226, -3193378, 900702, + 1859098, 909542, 819034, 495491, -1613174, -43260, -522500, -655327, -3122442, 2031748, 3207046, -3556995, -525098, -768622, -3595838, 342297, + 286988, -2437823, 4108315, 3437287, -3342277, 1735879, 203044, 2842341, 2691481, -2590150, 1265009, 4055324, 1247620, 2486353, 1595974, -3767016, + 1250494, 2635921, -3548272, -2994039, 1869119, 1903435, -1050970, -1333058, 1237275, -3318210, -1430225, -451100, 1312455, 3306115, -1962642, -1279661, + 1917081, -2546312, -1374803, 1500165, 777191, 2235880, 3406031, -542412, -2831860, -1671176, -1846953, -2584293, -3724270, 594136, -3776993, -2013608, + 2432395, 2454455, -164721, 1957272, 3369112, 185531, -1207385, -3183426, 162844, 1616392, 3014001, 810149, 1652634, -3694233, -1799107, -3038916, + 3523897, 3866901, 269760, 2213111, -975884, 1717735, 472078, -426683, 1723600, -1803090, 1910376, -1667432, -1104333, -260646, -3833893, -2939036, + -2235985, -420899, -2286327, 183443, -976891, 1612842, -3545687, -554416, 3919660, -48306, -1362209, 3937738, 1400424, -846154, 1976782, 0 +}; + +namespace polynomial { + inline + fn ntt_at_layer( + inline int LAYER, + reg u64 zeta_i, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial + ) -> reg u64, reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + inline int STEP = 1 << LAYER; + inline int ROUNDS = 128 >> LAYER; + + reg u64 round offset bound; + + reg u64 t64 zeta; + reg u32 t left; + + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] zetas = ZETAS_TIMES_MONTGOMERY_R; + + round = 0; + while (round < ROUNDS) { + zeta_i += 1; + + offset = round; + offset *= STEP; + offset *= 2; + + bound = offset; + bound += STEP; + + while (offset < bound) { + // TODO: Loading these values as a 64u will result in the + // wrong answer, maybe this should be reflected in the types? + t64 = (64s)polynomial[offset + STEP]; + zeta = (64s)zetas[zeta_i]; + + t64 *= zeta; + t = montgomery_reduce(t64); + + left = polynomial[offset]; + left -= t; + polynomial[offset + STEP] = left; + + left = polynomial[offset]; + left += t; + polynomial[offset] = left; + + offset += 1; + } + + round += 1; + } + + return zeta_i, polynomial; + } + fn ntt(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 zeta_i = -1; + + inline int LAYER; + for LAYER = 7 downto -1 { + zeta_i, polynomial = ntt_at_layer(LAYER, zeta_i, polynomial); + } + + return polynomial; + } + + inline + fn invert_ntt_at_layer( + inline int LAYER, + reg u64 zeta_i, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial + ) -> reg u64, reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + inline int STEP = 1 << LAYER; + inline int ROUNDS = 128 >> LAYER; + + reg u64 round offset bound; + + reg u64 t64 zeta; + reg u32 t left right; + + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] zetas = ZETAS_TIMES_MONTGOMERY_R; + + round = 0; + while (round < ROUNDS) { + zeta_i -= 1; + + offset = round; + offset *= STEP; + offset *= 2; + + bound = offset; + bound += STEP; + + while (offset < bound) { + t = polynomial[offset + STEP]; + t -= polynomial[offset]; + + left = polynomial[offset]; + right = polynomial[offset + STEP]; + left += right; + polynomial[offset] = left; + + zeta = (64s)zetas[zeta_i]; + t64 = (64s)t; + + t64 *= zeta; + t = montgomery_reduce(t64); + polynomial[offset + STEP] = t; + + offset += 1; + } + + round += 1; + } + + return zeta_i, polynomial; + } + + fn invert_ntt_montgomery( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 zeta_i coefficient64; + reg u32 coefficient; + + reg u64 j; + + inline int LAYER; + + zeta_i = 255; + for LAYER = 0 to 8 { + zeta_i, polynomial = invert_ntt_at_layer(LAYER, zeta_i, polynomial); + } + + j = 0; + while(j < COEFFICIENTS_IN_POLYNOMIAL) { + coefficient64 = (64s)polynomial[j]; + coefficient64 *= 41_978; + + coefficient = montgomery_reduce(coefficient64); + polynomial[j] = coefficient; + + j += 1; + } + + return polynomial; + } +} diff --git a/ref/ml_dsa_44/arithmetic/rounding.jinc b/ref/ml_dsa_44/arithmetic/rounding.jinc new file mode 100644 index 0000000..e96542d --- /dev/null +++ b/ref/ml_dsa_44/arithmetic/rounding.jinc @@ -0,0 +1,196 @@ +require "../parameters.jinc" + +namespace coefficient { + fn power2round(reg u32 r) -> reg u32, reg u32 { + /* + int32_t a1; //high bits + + a1 = (a + (1 << (D-1)) - 1) >> D; + *a0 = a - (a1 << D); + */ + reg u32 high_bits, low_bits; + reg u32 v32; + + high_bits = r; + high_bits += (1 << (BITS_IN_LOWER_PART_OF_T - 1)) - 1; + high_bits >>= BITS_IN_LOWER_PART_OF_T; + + v32 = high_bits; + v32 <<= BITS_IN_LOWER_PART_OF_T; + + low_bits = r; + low_bits -= v32; + + return high_bits, low_bits; + } + + // N.B.: This function varies according to parameter set. + inline + fn decompose(reg u32 r) -> reg u32, reg u32 { + reg u32 temp high_bits low_bits; + + // Compute ceil((r + 127) >> 7); + high_bits = r; + high_bits += 127; + high_bits >>s= 7; + + // Compute (( (ceil(r + 127) >> 7) * 11_275) + (1 << 23) ) >> 24; + high_bits *= 11_275; + high_bits += (1 << 23); + high_bits >>s= 24; + + // Compute high_bits ^= ((43 - high_bits) >> 31) & high_bits; + // to handle the corner case. + temp = 43; + temp -= high_bits; + temp >>s= 31; + temp &= high_bits; + + high_bits ^= temp; + + // Compute low_bits = r - (r1 * (GAMMA2 * 2)); + temp = high_bits; + temp *= GAMMA2 * 2; + + low_bits = r; + low_bits -= temp; + + // Compute low_bits -= (((MODULUS - 1) / 2 - low_bits) >> 31) & MODULUS + // to account for the corner case. + temp = (MODULUS - 1) / 2; + temp -= low_bits; + temp >>s= 31; + temp &= MODULUS; + + low_bits -= temp; + + return low_bits, high_bits; + } + + fn make_hint(reg u32 a0, reg u32 a1, reg u64 msf) -> reg u32, #msf reg u64 { + reg u32 result; + inline bool condition; + + result = 0; + + condition = a0 >s GAMMA2; + if (condition) { + msf = #update_msf(condition, msf); + + result = 1; + } else { + msf = #update_msf(!condition, msf); + + condition = a0 stack u8 + { + reg u32 sign_mask; + stack u32 c; + + reg bool sf; + + stack u8 result; + + result = 0; + + // This norm is calculated using the absolute value of the + // signed representative in the range: + // + // -MODULUS / 2 < r <= MODULUS / 2. + // + // So if the coefficient is negative, get its absolute value, but + // don't convert it into a different representation. + // + // Also, we must not leak the sign of the centralized representative. + sign_mask = coefficient; + sign_mask >>s= 31; + + c = coefficient; + c <<= 1; + c &= sign_mask; + coefficient = coefficient - c; + + // But it is ok to leak which coefficient violates the bound since + // the probability for each coefficient is independent of the secret + // data. + // + // We've used constant-time code here to make CT and SCT checking easier. + _, _, sf, _, _ = #CMP_32(coefficient, threshold); + result = #SETcc(!sf); + result = -result; + + return result; + } + + // N.B.: This function varies according to parameter set. + fn use_hint(reg u32 a hint, reg u64 msf) -> reg u32, #msf reg u64 { + reg u32 high_bits low_bits; + + inline bool b; + + low_bits, high_bits = decompose(a); + + b = hint != 0; + if (b) { + msf = #update_msf(b, msf); + + b = low_bits >s 0; + if (b) { + b = high_bits == 43; + if (b) { + msf = #update_msf(b, msf); + + high_bits = 0; + } else { + msf = #update_msf(!b, msf); + + high_bits += hint; + } + } else { + msf = #update_msf(!b, msf); + } + } else { + msf = #update_msf(!b, msf); + + b = high_bits == 0; + if (b) { + msf = #update_msf(b, msf); + + high_bits = 43; + } else { + msf = #update_msf(!b, msf); + + high_bits -= hint; + } + } + + return high_bits, msf; + } +} diff --git a/ref/ml_dsa_44/column_vector.jinc b/ref/ml_dsa_44/column_vector.jinc new file mode 100644 index 0000000..4ea458c --- /dev/null +++ b/ref/ml_dsa_44/column_vector.jinc @@ -0,0 +1,214 @@ +require "polynomial.jinc" +require "arithmetic/rounding.jinc" +require "arithmetic/ntt.jinc" + +// A column vector has dimensions ROWS_IN_MATRIX_A * 1 +namespace column_vector { + fn reduce32(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] { + reg u64 i; + reg u32 original reduced; + + i = 0; + while(i < ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL) { + original = vector[i]; + reduced = coefficient::reduce32(original); + + vector[i] = reduced; + i += 1; + } + + return vector; + } + + fn ntt(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] { + inline int i; + + for i = 0 to ROWS_IN_MATRIX_A { + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::ntt( + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return vector; + } + fn invert_ntt_montgomery(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + inline int i; + + for i = 0 to ROWS_IN_MATRIX_A { + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::invert_ntt_montgomery( + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return vector; + } + + inline + fn power2round(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] v) + -> stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL], stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] t1 t0; + reg u64 i; + reg u32 x y1 y2; + + i = 0; + while(i < ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL) { + x = v[i]; + y1, y2 = coefficient::power2round(x); + t1[i] = y1; + t0[i] = y2; + i += 1; + } + + return t1, t0; + } + + inline + fn add(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] lhs rhs) + -> stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] sum; + + inline int i; + + for i = 0 to ROWS_IN_MATRIX_A { + sum[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::add( + lhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL], + rhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL], + sum[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + return sum; + } + + inline + fn conditionally_add_modulus(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + inline int i; + for i = 0 to ROWS_IN_MATRIX_A { + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::conditionally_add_modulus(vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]); + } + + return vector; + } + + inline + fn decompose(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL], + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] low high; + reg u32 coefficient low_bits high_bits; + reg u64 i; + + i = 0; + while(i < ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL) { + coefficient = vector[i]; + + low_bits, high_bits = coefficient::decompose(coefficient); + + low[i] = low_bits; + high[i] = high_bits; + + i += 1; + } + + return low, high; + } + + inline + fn multiply_by_polynomial(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector, reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] f) + -> stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] fvector; + + inline int ii; + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] fg g; + + for ii = 0 to ROWS_IN_MATRIX_A { + fg = fvector[ii * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + g = vector[ii * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + fg = polynomial::pointwise_montgomery_product(f, g, fg); + fvector[ii * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = fg; + } + + return fvector; + } + + inline + fn subtract(stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] lhs rhs) + -> stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] difference; + + inline int i; + + for i = 0 to ROWS_IN_MATRIX_A { + difference[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::subtract( + lhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL], + rhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL], + difference[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return difference; + } + + inline + fn check_infinity_norm(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector, + inline int threshold + ) -> reg u8 + { + reg u8 ret; + reg u8 result; + + inline int i; + + result = 0; + for i = 0 to ROWS_IN_MATRIX_A { + ret = polynomial::check_infinity_norm( + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL], + threshold + ); + result |= ret; + } + + return result; + } + + inline + fn make_hint(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] addend original) + -> stack u32, stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + reg u32 ones_in_hint ones_in_hint_vector; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] hint_vector; + + inline int i; + + ones_in_hint_vector = 0; + for i = 0 to ROWS_IN_MATRIX_A { + ones_in_hint, + hint_vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + = polynomial::make_hint( + addend[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL], + original[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL], + hint_vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + + ones_in_hint_vector += ones_in_hint; + } + + return ones_in_hint_vector, hint_vector; + } + +} diff --git a/ref/ml_dsa_44/constants.jinc b/ref/ml_dsa_44/constants.jinc new file mode 100644 index 0000000..e1966e3 --- /dev/null +++ b/ref/ml_dsa_44/constants.jinc @@ -0,0 +1,20 @@ +param int MODULUS = 8_380_417; + +param int BITS_IN_LOWER_PART_OF_T = 13; +param int BITS_IN_LOWER_PART_OF_T_MASK = (1 << BITS_IN_LOWER_PART_OF_T) - 1; + +param int BITS_IN_UPPER_PART_OF_T_MASK = (1 << 10) - 1; + +param int COEFFICIENTS_IN_POLYNOMIAL = 256; +param int LOG_2_COEFFICIENTS_IN_POLYNOMIAL = 8; + +param int T0_POLYNOMIAL_ENCODED_SIZE = (BITS_IN_LOWER_PART_OF_T * COEFFICIENTS_IN_POLYNOMIAL) / 8; + +// 23 = log_2(MODULUS - 1). +param int T1_POLYNOMIAL_ENCODED_SIZE = ((23 - BITS_IN_LOWER_PART_OF_T) * COEFFICIENTS_IN_POLYNOMIAL) / 8; + +param int SEED_FOR_MATRIX_A_SIZE = 32; +param int SEED_FOR_ERROR_VECTORS_SIZE = 64; +param int SEED_FOR_SIGNING_SIZE = 32; +param int VERIFICATION_KEY_HASH_SIZE = 64; +param int MESSAGE_REPRESENTATIVE_SIZE = 64; diff --git a/ref/ml_dsa_44/encoding/commitment.jinc b/ref/ml_dsa_44/encoding/commitment.jinc new file mode 100644 index 0000000..f0bc0f9 --- /dev/null +++ b/ref/ml_dsa_44/encoding/commitment.jinc @@ -0,0 +1,78 @@ +require "../parameters.jinc" + +// N.B.: This file varies according to parameter set. + +namespace commitment { + fn encode_polynomial( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial, + reg ptr u8[ENCODED_COMMITMENT_POLYNOMIAL_SIZE] encoded + ) -> reg ptr u8[ENCODED_COMMITMENT_POLYNOMIAL_SIZE] + { + reg u32 encoded_byte temp; + reg u32 t0 t1 t2 t3; + + reg u64 i = 0; + reg u64 out_offset = 0; + + while (i < COEFFICIENTS_IN_POLYNOMIAL) { + t0 = polynomial[i + 0]; + t1 = polynomial[i + 1]; + t2 = polynomial[i + 2]; + t3 = polynomial[i + 3]; + + // r[3*i+0] = a->coeffs[4*i+0]; + // r[3*i+0] |= a->coeffs[4*i+1] << 6; + encoded_byte = t0; + temp = t1; + temp <<= 6; + + encoded_byte |= temp; + + encoded[out_offset + 0] = (8u)encoded_byte; + + // r[3*i+1] = a->coeffs[4*i+1] >> 2; + // r[3*i+1] |= a->coeffs[4*i+2] << 4; + encoded_byte = t1 >> 2; + temp = t2; + temp <<= 4; + + encoded_byte |= temp; + + encoded[out_offset + 1] = (8u)encoded_byte; + + // r[3*i+2] = a->coeffs[4*i+2] >> 4; + // r[3*i+2] |= a->coeffs[4*i+3] << 2; + encoded_byte = t2 >> 4; + temp = t3; + temp <<= 2; + + encoded_byte |= temp; + + encoded[out_offset + 2] = (8u)encoded_byte; + + i += 4; + out_offset += 3; + } + + return encoded; + } + + inline + fn encode(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] commitment) + -> stack u8[ENCODED_COMMITMENT_SIZE] + { + stack u8[ENCODED_COMMITMENT_SIZE] encoded_commitment; + + inline int i; + + for i = 0 to ROWS_IN_MATRIX_A { + encoded_commitment[i * ENCODED_COMMITMENT_POLYNOMIAL_SIZE : ENCODED_COMMITMENT_POLYNOMIAL_SIZE] = + encode_polynomial( + commitment[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL], + encoded_commitment[i * ENCODED_COMMITMENT_POLYNOMIAL_SIZE : ENCODED_COMMITMENT_POLYNOMIAL_SIZE] + ); + } + + return encoded_commitment; + } +} diff --git a/ref/ml_dsa_44/encoding/error_polynomial.jinc b/ref/ml_dsa_44/encoding/error_polynomial.jinc new file mode 100644 index 0000000..4580ef6 --- /dev/null +++ b/ref/ml_dsa_44/encoding/error_polynomial.jinc @@ -0,0 +1,186 @@ +require "../parameters.jinc" + +// N.B.: This file varies according to parameter set. + +namespace error_polynomial { + fn encode(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial, + reg ptr u8[ENCODED_ERROR_POLYNOMIAL_SIZE] encoded + ) -> reg ptr u8[ENCODED_ERROR_POLYNOMIAL_SIZE] + { + reg u32 encoded_byte; + + reg u32 t0 t1 t2 t3 t4 t5 t6 t7; + + reg u64 i = 0; + reg u64 out_offset = 0; + + while (i < COEFFICIENTS_IN_POLYNOMIAL) { + // r[3*i+0] = (t[0] >> 0) | (t[1] << 3) | (t[2] << 6); + t0 = ETA; + t0 -= polynomial[i + 0]; + + t1 = ETA; + t1 -= polynomial[i + 1]; + t1 <<= 3; + + t2 = ETA; + t2 -= polynomial[i + 2]; + + encoded_byte = t2 << 6; + encoded_byte |= t0; + encoded_byte |= t1; + encoded[out_offset + 0] = (8u)encoded_byte; + + // r[3*i+1] = (t[2] >> 2) | (t[3] << 1) | (t[4] << 4) | (t[5] << 7); + encoded_byte >>= 8; + + t3 = ETA; + t3 -= polynomial[i + 3]; + t3 <<= 1; + + t4 = ETA; + t4 -= polynomial[i + 4]; + t4 <<= 4; + + t5 = ETA; + t5 -= polynomial[i + 5]; + t5 <<= 7; + + encoded_byte |= t3; + encoded_byte |= t4; + encoded_byte |= t5; + encoded[out_offset + 1] = (8u)encoded_byte; + + // r[3*i+2] = (t[5] >> 1) | (t[6] << 2) | (t[7] << 5); + encoded_byte >>= 8; + + t6 = ETA; + t6 -= polynomial[i + 6]; + t6 <<= 2; + + t7 = ETA; + t7 -= polynomial[i + 7]; + t7 <<= 5; + + encoded_byte |= t6; + encoded_byte |= t7; + encoded[out_offset + 2] = (8u)encoded_byte; + + i += 8; + out_offset += 3; + } + + return encoded; + } + + fn decode( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial, + reg ptr u8[ENCODED_ERROR_POLYNOMIAL_SIZE] encoded + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u32 t0 t1 t2; + reg u32 coefficient temp; + + inline int ETA_BITS_MASK = (1 << 3) - 1; + + reg u64 i = 0; + reg u64 out_offset = 0; + + while (i < COEFFICIENTS_IN_POLYNOMIAL) { + t0 = (32u) encoded[i + 0]; + t1 = (32u) encoded[i + 1]; + t2 = (32u) encoded[i + 2]; + + // r->coeffs[8*i+0] = (a[3*i+0] >> 0) & 7; + // r->coeffs[8*i+0] = ETA - r->coeffs[8*i+0]; + temp = t0; + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset] = coefficient; + + // r->coeffs[8*i+1] = (a[3*i+0] >> 3) & 7; + // r->coeffs[8*i+1] = ETA - r->coeffs[8*i+1]; + temp = t0; + temp >>= 3; + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 1] = coefficient; + + // r->coeffs[8*i+2] = ((a[3*i+0] >> 6) | (a[3*i+1] << 2)) & 7; + // r->coeffs[8*i+2] = ETA - r->coeffs[8*i+2]; + temp = t0 >> 6; + temp = #LEA_32(4 * t1 + temp); + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 2] = coefficient; + + // r->coeffs[8*i+3] = (a[3*i+1] >> 1) & 7; + // r->coeffs[8*i+3] = ETA - r->coeffs[8*i+3]; + temp = t1; + temp >>= 1; + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 3] = coefficient; + + // r->coeffs[8*i+4] = (a[3*i+1] >> 4) & 7; + // r->coeffs[8*i+4] = ETA - r->coeffs[8*i+4]; + temp = t1; + temp >>= 4; + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 4] = coefficient; + + // r->coeffs[8*i+5] = ((a[3*i+1] >> 7) | (a[3*i+2] << 1)) & 7; + // r->coeffs[8*i+5] = ETA - r->coeffs[8*i+5]; + temp = t1 >> 7; + temp = #LEA_32(2 * t2 + temp); + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 5] = coefficient; + + // r->coeffs[8*i+6] = (a[3*i+2] >> 2) & 7; + // r->coeffs[8*i+6] = ETA - r->coeffs[8*i+6]; + temp = t2; + temp >>= 2; + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 6] = coefficient; + + // r->coeffs[8*i+7] = (a[3*i+2] >> 5) & 7; + // r->coeffs[8*i+7] = ETA - r->coeffs[8*i+7]; + temp = t2 >> 5; + temp &= ETA_BITS_MASK; + + coefficient = ETA; + coefficient -= temp; + + polynomial[out_offset + 7] = coefficient; + + i += 3; + out_offset += 8; + } + + return polynomial; + } +} diff --git a/ref/ml_dsa_44/encoding/gamma1.jinc b/ref/ml_dsa_44/encoding/gamma1.jinc new file mode 100644 index 0000000..5da9553 --- /dev/null +++ b/ref/ml_dsa_44/encoding/gamma1.jinc @@ -0,0 +1,225 @@ +require "../parameters.jinc" + +// N.B.: This file varies according to parameter set. + +namespace gamma1 { + inline + fn encode_polynomial( + reg ptr u8[ENCODED_GAMMA1_POLYNOMIAL_SIZE] encoded, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial + ) -> reg ptr u8[ENCODED_GAMMA1_POLYNOMIAL_SIZE] + { + reg u32 encoded_byte temp; + reg u32 t0 t1 t2 t3; + + reg u64 out_offset = 0; + reg u64 i = 0; + + while (i < COEFFICIENTS_IN_POLYNOMIAL) { + // t[0] = GAMMA1 - a->coeffs[4*i+0]; + t0 = GAMMA1; + t0 -= polynomial[i + 0]; + + // t[1] = GAMMA1 - a->coeffs[4*i+1]; + t1 = GAMMA1; + t1 -= polynomial[i + 1]; + + // t[2] = GAMMA1 - a->coeffs[4*i+2]; + t2 = GAMMA1; + t2 -= polynomial[i + 2]; + + // t[3] = GAMMA1 - a->coeffs[4*i+3]; + t3 = GAMMA1; + t3 -= polynomial[i + 3]; + + // encoded[9*i+0] = t[0]; + // encoded[9*i+1] = t[0] >> 8; + encoded[out_offset + 0] = (8u) t0; + + encoded_byte = t0; + encoded_byte >>= 8; + encoded[out_offset + 1] = (8u) encoded_byte; + + // encoded[9*i+2] = t[0] >> 16; + // encoded[9*i+2] |= t[1] << 2; + encoded_byte = t0 >> 16; + + temp = t1; + temp <<= 2; + + encoded_byte |= temp; + encoded[out_offset + 2] = (8u) encoded_byte; + + // encoded[9*i+3] = t[1] >> 6; + encoded_byte = t1; + encoded_byte >>= 6; + encoded[out_offset + 3] = (8u) encoded_byte; + + // encoded[9*i+4] = t[1] >> 14; + // encoded[9*i+4] |= t[2] << 4; + encoded_byte = t1 >> 14; + + temp = t2; + temp <<= 4; + + encoded_byte |= temp; + + encoded[out_offset + 4] = (8u) encoded_byte; + + // encoded[9*i+5] = t[2] >> 4; + encoded_byte = t2; + encoded_byte >>= 4; + encoded[out_offset + 5] = (8u) encoded_byte; + + // encoded[9*i+6] = t[2] >> 12; + // encoded[9*i+6] |= t[3] << 6; + encoded_byte = t2; + encoded_byte >>= 12; + + temp = t3; + temp <<= 6; + encoded_byte |= temp; + encoded[out_offset + 6] = (8u) encoded_byte; + + // encoded[9*i+7] = t[3] >> 2; + encoded_byte = t3; + encoded_byte >>= 2; + encoded[out_offset + 7] = (8u) encoded_byte; + + // encoded[9*i+8] = t[3] >> 10; + encoded_byte = t3 >> 10; + encoded[out_offset + 8] = (8u) encoded_byte; + + i += 4; + out_offset += 9; + } + + return encoded; + } + + fn decode_to_polynomial( + reg ptr u8[ENCODED_GAMMA1_POLYNOMIAL_SIZE] bytes, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + inline int GAMMA1_MASK = (1 << BITS_TO_ENCODE_GAMMA1_COEFFICIENT) - 1; + + reg u32 coefficient temp; + + reg u64 output_offset = 0; + reg u64 i = 0; + + while (i < COEFFICIENTS_IN_POLYNOMIAL / 4) { + // r->coeffs[4*i+0] = bytes[9*i+0]; + // r->coeffs[4*i+0] |= (uint32_t)bytes[9*i+1] << 8; + // r->coeffs[4*i+0] |= (uint32_t)bytes[9*i+2] << 16; + // r->coeffs[4*i+0] &= GAMMA1_MASK; + // r->coeffs[4*i+0] = GAMMA1 - r->coeffs[4*i+0]; + coefficient = (32u) bytes[i + 0]; + + temp = (32u) bytes[i + 1]; + temp <<= 8; + coefficient |= temp; + + temp = (32u) bytes[i + 2]; + temp <<= 16; + coefficient |= temp; + + coefficient &= GAMMA1_MASK; + + coefficient -= GAMMA1; + coefficient = -coefficient; + polynomial[output_offset + 0] = coefficient; + + // r->coeffs[4*i+1] = bytes[9*i+2] >> 2; + // r->coeffs[4*i+1] |= (uint32_t)bytes[9*i+3] << 6; + // r->coeffs[4*i+1] |= (uint32_t)bytes[9*i+4] << 14; + // r->coeffs[4*i+1] &= GAMMA1_MASK; + // r->coeffs[4*i+1] = GAMMA1 - r->coeffs[4*i+1]; + coefficient = (32u) bytes[i + 2]; + coefficient >>= 2; + + temp = (32u) bytes[i + 3]; + temp <<= 6; + coefficient |= temp; + + temp = (32u) bytes[i + 4]; + temp <<= 14; + coefficient |= temp; + + coefficient &= GAMMA1_MASK; + + coefficient -= GAMMA1; + coefficient = -coefficient; + polynomial[(output_offset + 1)] = coefficient; + + // r->coeffs[4*i+2] = bytes[9*i+4] >> 4; + // r->coeffs[4*i+2] |= (uint32_t)bytes[9*i+5] << 4; + // r->coeffs[4*i+2] |= (uint32_t)bytes[9*i+6] << 12; + // r->coeffs[4*i+2] &= GAMMA1_MASK; + // r->coeffs[4*i+2] = GAMMA1 - r->coeffs[4*i+2]; + coefficient = (32u) bytes[i + 4]; + coefficient >>= 4; + + temp = (32u) bytes[i + 5]; + temp <<= 4; + coefficient |= temp; + + temp = (32u) bytes[i + 6]; + temp <<= 12; + coefficient |= temp; + + coefficient &= GAMMA1_MASK; + + coefficient -= GAMMA1; + coefficient = -coefficient; + polynomial[output_offset + 2] = coefficient; + + // r->coeffs[4*i+3] = bytes[9*i+6] >> 6; + // r->coeffs[4*i+3] |= (uint32_t)bytes[9*i+7] << 2; + // r->coeffs[4*i+3] |= (uint32_t)bytes[9*i+8] << 10; + // r->coeffs[4*i+3] &= GAMMA1_MASK; + // r->coeffs[4*i+3] = GAMMA1 - r->coeffs[4*i+3]; + coefficient = (32u) bytes[i + 6]; + coefficient >>= 6; + + temp = (32u) bytes[i + 7]; + temp <<= 2; + coefficient |= temp; + + temp = (32u) bytes[i + 8]; + temp <<= 10; + coefficient |= temp; + + coefficient &= GAMMA1_MASK; + + coefficient -= GAMMA1; + coefficient = -coefficient; + polynomial[output_offset + 3] = coefficient; + + i += 9; + output_offset += 4; + } + + return polynomial; + } + + inline + fn decode( + reg ptr u8[GAMMA1_ENCODED_SIZE] encoded, + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] decoded + ) -> reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + inline int i; + + for i = 0 to COLUMNS_IN_MATRIX_A { + decoded[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + decode_to_polynomial( + encoded[i * ENCODED_GAMMA1_POLYNOMIAL_SIZE : ENCODED_GAMMA1_POLYNOMIAL_SIZE], + decoded[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return decoded; + } +} diff --git a/ref/ml_dsa_44/encoding/s1.jinc b/ref/ml_dsa_44/encoding/s1.jinc new file mode 100644 index 0000000..b48249e --- /dev/null +++ b/ref/ml_dsa_44/encoding/s1.jinc @@ -0,0 +1,39 @@ +require "../parameters.jinc" + +require "error_polynomial.jinc" + +namespace s1 { + inline + fn encode( + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s1, + reg ptr u8[S1_ENCODED_SIZE] encoded + ) -> reg ptr u8[S1_ENCODED_SIZE] + { + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] poly; + + inline int i; + for i = 0 to COLUMNS_IN_MATRIX_A { + poly = s1[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + encoded[ENCODED_ERROR_POLYNOMIAL_SIZE * i : ENCODED_ERROR_POLYNOMIAL_SIZE] = error_polynomial::encode(poly, encoded[ENCODED_ERROR_POLYNOMIAL_SIZE * i : ENCODED_ERROR_POLYNOMIAL_SIZE]); + } + return encoded; + } + + inline + fn decode( + reg ptr u8[S1_ENCODED_SIZE] encoded, + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s1 + ) -> reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + reg ptr u8[ENCODED_ERROR_POLYNOMIAL_SIZE] encoded_polynomial; + + inline int i; + for i = 0 to COLUMNS_IN_MATRIX_A { + encoded_polynomial = encoded[ENCODED_ERROR_POLYNOMIAL_SIZE * i : ENCODED_ERROR_POLYNOMIAL_SIZE]; + s1[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = error_polynomial::decode(s1[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL], encoded_polynomial); + } + + return s1; + } + +} diff --git a/ref/ml_dsa_44/encoding/s2.jinc b/ref/ml_dsa_44/encoding/s2.jinc new file mode 100644 index 0000000..83771d2 --- /dev/null +++ b/ref/ml_dsa_44/encoding/s2.jinc @@ -0,0 +1,38 @@ +require "../parameters.jinc" + +require "error_polynomial.jinc" + +namespace s2 { + inline + fn encode( + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s2, + reg ptr u8[S2_ENCODED_SIZE] encoded + ) -> reg ptr u8[S2_ENCODED_SIZE] + { + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] poly; + + inline int i; + for i = 0 to ROWS_IN_MATRIX_A { + poly = s2[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + encoded[ENCODED_ERROR_POLYNOMIAL_SIZE * i : ENCODED_ERROR_POLYNOMIAL_SIZE] = error_polynomial::encode(poly, encoded[ENCODED_ERROR_POLYNOMIAL_SIZE * i : ENCODED_ERROR_POLYNOMIAL_SIZE]); + } + return encoded; + } + + inline + fn decode( + reg ptr u8[S2_ENCODED_SIZE] encoded, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s2 + ) -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + reg ptr u8[ENCODED_ERROR_POLYNOMIAL_SIZE] encoded_polynomial; + + inline int i; + for i = 0 to ROWS_IN_MATRIX_A { + encoded_polynomial = encoded[ENCODED_ERROR_POLYNOMIAL_SIZE * i : ENCODED_ERROR_POLYNOMIAL_SIZE]; + s2[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = error_polynomial::decode(s2[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL], encoded_polynomial); + } + + return s2; + } +} diff --git a/ref/ml_dsa_44/encoding/signature.jinc b/ref/ml_dsa_44/encoding/signature.jinc new file mode 100644 index 0000000..7cfc132 --- /dev/null +++ b/ref/ml_dsa_44/encoding/signature.jinc @@ -0,0 +1,186 @@ +require "../parameters.jinc" +require "gamma1.jinc" + +namespace signature { + param int START_OF_GAMMA1 = COMMITMENT_HASH_SIZE; + param int START_OF_HINT = + START_OF_GAMMA1 + + GAMMA1_ENCODED_SIZE; + + inline + fn encode( + reg ptr u8[COMMITMENT_HASH_SIZE] commitment_hash, + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] signer_response, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] hint + ) -> stack u8[SIGNATURE_SIZE] + { + stack u8[SIGNATURE_SIZE] signature; + reg ptr u8[ENCODED_GAMMA1_POLYNOMIAL_SIZE] polynomial_encoded; + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial; + + reg u64 i j hints_written hint_offset; + reg u32 hint_coefficient; + + reg u64 msf; + + inline int k; + inline bool condition; + + signature[0:COMMITMENT_HASH_SIZE] = #copy(commitment_hash); + + for k = 0 to COLUMNS_IN_MATRIX_A { + polynomial_encoded = signature[START_OF_GAMMA1 + (k * ENCODED_GAMMA1_POLYNOMIAL_SIZE) : ENCODED_GAMMA1_POLYNOMIAL_SIZE]; + polynomial = signer_response[k * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + polynomial_encoded = gamma1::encode_polynomial(polynomial_encoded, polynomial); + signature[START_OF_GAMMA1 + (k * ENCODED_GAMMA1_POLYNOMIAL_SIZE) : ENCODED_GAMMA1_POLYNOMIAL_SIZE] = polynomial_encoded; + } + + // Clear the hints buffer + i = 0; + while (i < MAX_ONES_IN_HINT + ROWS_IN_MATRIX_A) { + signature[START_OF_HINT + i] = 0; + i += 1; + } + + + // Write out hints + msf = #init_msf(); + + hints_written = 0; + i = 0; + while {condition = i < ROWS_IN_MATRIX_A;} (condition) { + msf = #update_msf(condition, msf); + + j = 0; + while {condition = j < COEFFICIENTS_IN_POLYNOMIAL;} (condition) { + msf = #update_msf(condition, msf); + + hint_offset = i; + hint_offset <<= LOG_2_COEFFICIENTS_IN_POLYNOMIAL; + hint_offset += j; + + hint_coefficient = hint[hint_offset]; + hint_coefficient = #protect_32(hint_coefficient, msf); + + condition = hint_coefficient != 0; + if (condition) { + msf = #update_msf(condition, msf); + + signature[START_OF_HINT + hints_written] = (8u)j; + hints_written += 1; + } else { + msf = #update_msf(!condition, msf); + } + + j += 1; + } + msf = #update_msf(!condition, msf); + + signature[START_OF_HINT + MAX_ONES_IN_HINT + i] = (8u) hints_written; + i += 1; + } + + return signature; + } + + inline + fn decode_hint( + reg ptr u8[HINT_ENCODED_SIZE] hint_encoded, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] hints + ) -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL], reg u64 + { + reg u64 j; + reg u8 done; + reg bool within_bounds; + reg u64 index; + reg u64 hint hint_at_j hint_at_j_minus_one; + reg u64 previous_true_hints_seen current_true_hints_seen; + reg u64 decoded_offset encoded_offset ill_formed_hint; + + ill_formed_hint = 0; + previous_true_hints_seen = 0; + + encoded_offset = 0; + while { + within_bounds = encoded_offset >= ROWS_IN_MATRIX_A; + done = #SETcc(within_bounds); + done |= ill_formed_hint; + } (done == 0) { + decoded_offset = encoded_offset; + decoded_offset <<= LOG_2_COEFFICIENTS_IN_POLYNOMIAL; + j = 0; + + while (j < COEFFICIENTS_IN_POLYNOMIAL) { + index = #LEA_64(decoded_offset + j); + hints[index] = 0; + j += 1; + } + + current_true_hints_seen = (64u)hint_encoded[MAX_ONES_IN_HINT + encoded_offset]; + _ = #init_msf(); + + if (current_true_hints_seen < previous_true_hints_seen) { + ill_formed_hint = 1; + } else { + if (previous_true_hints_seen > MAX_ONES_IN_HINT) { + ill_formed_hint = 1; + } else { + j = previous_true_hints_seen; + + while { + within_bounds = j >= current_true_hints_seen; + done = #SETcc(within_bounds); + done |= ill_formed_hint; + } (done == 0) { + // Coefficients are ordered for strong unforgeability + hint_at_j = (64u)hint_encoded[j]; + _ = #init_msf(); + + if (j > previous_true_hints_seen) { + hint_at_j_minus_one = (64u)hint_encoded[j - 1]; + _ = #init_msf(); + + if (hint_at_j <= hint_at_j_minus_one) { + ill_formed_hint = 1; + } + } + + if (ill_formed_hint == 0) { + // h->vec[i].coeffs[sig[j]] = 1; + index = #LEA_64(decoded_offset + hint_at_j); + hints[index] = 1; + + j += 1; + + } + } + } + } + + if (ill_formed_hint == 0) { + previous_true_hints_seen = current_true_hints_seen; + encoded_offset += 1; + } + } + + encoded_offset = previous_true_hints_seen; + while { + within_bounds = encoded_offset >= MAX_ONES_IN_HINT; + done = #SETcc(within_bounds); + done |= ill_formed_hint; + } (done == 0) { + hint = (64u)hint_encoded[encoded_offset]; + _ = #init_msf(); + + if(hint != 0) { + ill_formed_hint = 1; + } + encoded_offset += 1; + } + + // Do this so we can indicate success with 0 and failure with -1. + ill_formed_hint = -ill_formed_hint; + + return hints, ill_formed_hint; + } +} diff --git a/ref/ml_dsa_44/encoding/t0.jinc b/ref/ml_dsa_44/encoding/t0.jinc new file mode 100644 index 0000000..bd48696 --- /dev/null +++ b/ref/ml_dsa_44/encoding/t0.jinc @@ -0,0 +1,433 @@ +require "../parameters.jinc" + +namespace t0 { + inline fn change_t0_interval(reg u32 coefficient) -> reg u32 + { + coefficient = -coefficient; + coefficient += (1 << BITS_IN_LOWER_PART_OF_T) / 2; + + return coefficient; + } + fn encode_polynomial( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] t0, + reg ptr u8[T0_POLYNOMIAL_ENCODED_SIZE] encoded + ) -> reg ptr u8[T0_POLYNOMIAL_ENCODED_SIZE] + { + stack u32[8] t; + + reg u64 i; + reg u64 encoded_offset t0_offset; + + reg u32 coefficient; + + reg u8 c c1; + + encoded_offset = 0; + t0_offset = 0; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL / 8) { + // r[13*i + 0] = t[0]; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[0] = coefficient; + + c = (8u) coefficient; + encoded[encoded_offset] = c; + encoded_offset += 1; + + // r[13*i+ 1] = t[0] >> 8; + // r[13*i+ 1] |= t[1] << 5; + + coefficient = t[0]; + coefficient >>= 8; + c = (8u)coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[1] = coefficient; + + coefficient <<= 5; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+ 2] = t[1] >> 3; + + coefficient = t[1]; + coefficient >>= 3; + c = (8u) coefficient; + encoded[encoded_offset] = c; + encoded_offset += 1; + + // r[13*i+ 3] = t[1] >> 11; + // r[13*i+ 3] |= t[2] << 2; + + coefficient = t[1]; + coefficient >>= 11; + c = (8u) coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[2] = coefficient; + + coefficient <<= 2; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+ 4] = t[2] >> 6; + //r[13*i+ 4] |= t[3] << 7; + + coefficient = t[2]; + coefficient >>= 6; + c = (8u) coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[3] = coefficient; + + coefficient <<= 7; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+ 5] = t[3] >> 1; + + coefficient = t[3]; + coefficient >>= 1; + c = (8u) coefficient; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+ 6] = t[3] >> 9; + //r[13*i+ 6] |= t[4] << 4; + + coefficient = t[3]; + coefficient >>= 9; + c = (8u) coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[4] = coefficient; + + coefficient <<= 4; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+ 7] = t[4] >> 4; + + coefficient = t[4]; + coefficient >>= 4; + c = (8u) coefficient; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+ 8] = t[4] >> 12; + //r[13*i+ 8] |= t[5] << 1; + + coefficient = t[4]; + coefficient >>= 12; + c = (8u) coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[5] = coefficient; + + coefficient <<= 1; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i + 9] = t[5] >> 7; + //r[13*i + 9] |= t[6] << 6; + + coefficient = t[5]; + coefficient >>= 7; + c = (8u) coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[6] = coefficient; + + coefficient <<= 6; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + // r[13*i+10] = t[6] >> 2; + + coefficient = t[6]; + coefficient >>= 2; + c = (8u) coefficient; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+11] = t[6] >> 10; + //r[13*i+11] |= t[7] << 3; + + coefficient = t[6]; + coefficient >>= 10; + c = (8u) coefficient; + + coefficient = t0[t0_offset]; + t0_offset += 1; + coefficient = change_t0_interval(coefficient); + t[7] = coefficient; + + coefficient <<= 3; + c1 = (8u) coefficient; + c |= c1; + encoded[encoded_offset] = c; + encoded_offset += 1; + + //r[13*i+12] = t[7] >> 5; + + coefficient = t[7]; + coefficient >>= 5; + c = (8u) coefficient; + encoded[encoded_offset] = c; + encoded_offset += 1; + + i += 1; + } + + return encoded; + } + + inline fn encode( + reg ptr u8[T0_ENCODED_SIZE] encoded, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] t0 + ) -> reg ptr u8[T0_ENCODED_SIZE] + { + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] t0_to_pack; + + inline int j; + + for j = 0 to ROWS_IN_MATRIX_A { + t0_to_pack = t0[COEFFICIENTS_IN_POLYNOMIAL * j : COEFFICIENTS_IN_POLYNOMIAL]; + encoded[j * T0_POLYNOMIAL_ENCODED_SIZE : T0_POLYNOMIAL_ENCODED_SIZE] = encode_polynomial(t0_to_pack, encoded[j * T0_POLYNOMIAL_ENCODED_SIZE : T0_POLYNOMIAL_ENCODED_SIZE]); + } + + return encoded; + } + + fn decode_polynomial( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] t0, + reg ptr u8[T0_POLYNOMIAL_ENCODED_SIZE] src + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 i; + reg u64 input_offset output_offset; + reg u32 coefficient encoded_byte; + + output_offset = 0; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL / 8) { + // r->coeffs[8*i+0] = a[13*i+0]; + // r->coeffs[8*i+0] |= (uint32_t)a[13*i+1] << 8; + // r->coeffs[8*i+0] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+0] = (1 << (D-1)) - r->coeffs[8*i+0]; + + input_offset = (64u) i; + input_offset *= 13; + coefficient = (32u) src[input_offset]; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 8; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+1] = a[13*i+1] >> 5; + // r->coeffs[8*i+1] |= (uint32_t)a[13*i+2] << 3; + // r->coeffs[8*i+1] |= (uint32_t)a[13*i+3] << 11; + // r->coeffs[8*i+1] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+1] = (1 << (D-1)) - r->coeffs[8*i+1]; + + coefficient = (32u) src[input_offset]; + coefficient >>= 5; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 3; + coefficient |= encoded_byte; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 11; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+2] = a[13*i+3] >> 2; + // r->coeffs[8*i+2] |= (uint32_t)a[13*i+4] << 6; + // r->coeffs[8*i+2] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+2] = (1 << (D-1)) - r->coeffs[8*i+2]; + + coefficient = (32u) src[input_offset]; + coefficient >>= 2; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 6; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+3] = a[13*i+4] >> 7; + // r->coeffs[8*i+3] |= (uint32_t)a[13*i+5] << 1; + // r->coeffs[8*i+3] |= (uint32_t)a[13*i+6] << 9; + // r->coeffs[8*i+3] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+3] = (1 << (D-1)) - r->coeffs[8*i+3]; + coefficient = (32u) src[input_offset]; + coefficient >>= 7; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 1; + coefficient |= encoded_byte; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 9; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+4] = a[13*i+6] >> 4; + // r->coeffs[8*i+4] |= (uint32_t)a[13*i+7] << 4; + // r->coeffs[8*i+4] |= (uint32_t)a[13*i+8] << 12; + // r->coeffs[8*i+4] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+4] = (1 << (D-1)) - r->coeffs[8*i+4]; + coefficient = (32u) src[input_offset]; + coefficient >>= 4; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 4; + coefficient |= encoded_byte; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 12; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+5] = a[13*i+8] >> 1; + // r->coeffs[8*i+5] |= (uint32_t)a[13*i+9] << 7; + // r->coeffs[8*i+5] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+5] = (1 << (D-1)) - r->coeffs[8*i+5]; + coefficient = (32u) src[input_offset]; + coefficient >>= 1; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 7; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+6] = a[13*i+9] >> 6; + // r->coeffs[8*i+6] |= (uint32_t)a[13*i+10] << 2; + // r->coeffs[8*i+6] |= (uint32_t)a[13*i+11] << 10; + // r->coeffs[8*i+6] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+6] = (1 << (D-1)) - r->coeffs[8*i+6]; + coefficient = (32u) src[input_offset]; + coefficient >>= 6; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 2; + coefficient |= encoded_byte; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 10; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + // r->coeffs[8*i+7] = a[13*i+11] >> 3; + // r->coeffs[8*i+7] |= (uint32_t)a[13*i+12] << 5; + // r->coeffs[8*i+7] &= BITS_IN_LOWER_PART_OF_T_MASK; + // r->coeffs[8*i+7] = (1 << (D-1)) - r->coeffs[8*i+7]; + coefficient = (32u) src[input_offset]; + coefficient >>= 3; + + input_offset += 1; + encoded_byte = (32u) src[input_offset]; + encoded_byte <<= 5; + coefficient |= encoded_byte; + + coefficient &= BITS_IN_LOWER_PART_OF_T_MASK; + + coefficient = change_t0_interval(coefficient); + t0[output_offset] = coefficient; + output_offset += 1; + + i += 1; + } + + return t0; + } + + inline fn + decode(reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] t0, reg ptr u8[T0_ENCODED_SIZE] encoded) -> reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] { + reg ptr u8[T0_POLYNOMIAL_ENCODED_SIZE] encoded_polynomial; + + inline int i; + for i = 0 to ROWS_IN_MATRIX_A { + encoded_polynomial = encoded[T0_POLYNOMIAL_ENCODED_SIZE * i : T0_POLYNOMIAL_ENCODED_SIZE]; + t0[i * COEFFICIENTS_IN_POLYNOMIAL: COEFFICIENTS_IN_POLYNOMIAL] = decode_polynomial(t0[i * COEFFICIENTS_IN_POLYNOMIAL: COEFFICIENTS_IN_POLYNOMIAL], encoded_polynomial); + } + + return t0; + } +} diff --git a/ref/ml_dsa_44/encoding/t1.jinc b/ref/ml_dsa_44/encoding/t1.jinc new file mode 100644 index 0000000..07d3d7a --- /dev/null +++ b/ref/ml_dsa_44/encoding/t1.jinc @@ -0,0 +1,167 @@ +require "../parameters.jinc" +require "../constants.jinc" + +namespace t1 { + fn encode_polynomial( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] t1, + reg ptr u8[T1_POLYNOMIAL_ENCODED_SIZE] t1_encoded + ) -> reg ptr u8[T1_POLYNOMIAL_ENCODED_SIZE] + { + reg u64 i; + reg u64 input_offset output_offset; + reg u32 encoded_bytes encoded_byte; + + input_offset = 0; + output_offset = 0; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL / 4) { + // t1_encoded[5*i+0] = t1[4*i+0] >> 0; + + encoded_bytes = t1[input_offset]; + + t1_encoded[output_offset] = (8u)encoded_bytes; + output_offset += 1; + + // t1_encoded[5*i+1] = (t1[4*i+0] >> 8) | (t1[4*i+1] << 2); + + encoded_bytes = t1[input_offset]; + encoded_bytes >>= 8; + + input_offset += 1; + encoded_byte = t1[input_offset]; + encoded_byte <<= 2; + encoded_bytes |= encoded_byte; + + t1_encoded[output_offset] = (8u)encoded_bytes; + output_offset += 1; + + // t1_encoded[5*i+2] = (t1[4*i+1] >> 6) | (t1[4*i+2] << 4); + + encoded_bytes = t1[input_offset]; + encoded_bytes >>= 6; + + input_offset += 1; + encoded_byte = t1[input_offset]; + encoded_byte <<= 4; + encoded_bytes |= encoded_byte; + + t1_encoded[output_offset] = (8u)encoded_bytes; + output_offset += 1; + + // t1_encoded[5*i+3] = (t1[4*i+2] >> 4) | (t1[4*i+3] << 6); + + encoded_bytes = t1[input_offset]; + encoded_bytes >>= 4; + + input_offset += 1; + encoded_byte = t1[input_offset]; + encoded_byte <<= 6; + encoded_bytes |= encoded_byte; + + t1_encoded[output_offset] = (8u)encoded_bytes; + output_offset += 1; + + // t1_encoded[5*i+4] = (t1[4*i+3] >> 2); + + encoded_bytes = t1[input_offset]; + encoded_bytes >>= 2; + + t1_encoded[output_offset] = (8u)encoded_bytes; + output_offset += 1; + + input_offset += 1; + i += 1; + } + + return t1_encoded; + } + + inline fn + encode( + reg ptr u8[T1_ENCODED_SIZE] encoded, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] t1 + ) -> reg ptr u8[T1_ENCODED_SIZE] + { + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] t1_to_pack; + + inline int j; + + for j = 0 to ROWS_IN_MATRIX_A { + t1_to_pack = t1[COEFFICIENTS_IN_POLYNOMIAL * j : COEFFICIENTS_IN_POLYNOMIAL]; + encoded[j * T1_POLYNOMIAL_ENCODED_SIZE : T1_POLYNOMIAL_ENCODED_SIZE] = encode_polynomial(t1_to_pack, encoded[j * T1_POLYNOMIAL_ENCODED_SIZE : T1_POLYNOMIAL_ENCODED_SIZE]); + } + + return encoded; + } + + fn decode_polynomial( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] t1, + reg ptr u8[T1_POLYNOMIAL_ENCODED_SIZE] t1_encoded + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 i output_offset input_offset; + reg u32 coefficient; + reg u32 temp1 temp2; + + input_offset = 0; + output_offset = 0; + + i = 0; + while (i < COEFFICIENTS_IN_POLYNOMIAL / 4) { + coefficient = (32u)t1_encoded[input_offset]; + input_offset += 1; + + temp1 = (32u)t1_encoded[input_offset]; + input_offset += 1; + + temp2 = temp1; + temp1 <<= 8; + coefficient |= temp1; + coefficient &= BITS_IN_UPPER_PART_OF_T_MASK; + + t1[output_offset] = coefficient; + output_offset += 1; + + coefficient = temp2 >> 2; + temp1 = (32u)t1_encoded[input_offset]; + input_offset += 1; + + temp2 = temp1; + temp1 <<= 6; + coefficient |= temp1; + coefficient &= BITS_IN_UPPER_PART_OF_T_MASK; + + t1[output_offset] = coefficient; + output_offset += 1; + + coefficient = temp2 >> 4; + temp1 = (32u)t1_encoded[input_offset]; + input_offset += 1; + + temp2 = temp1; + temp1 <<= 4; + coefficient |= temp1; + coefficient &= BITS_IN_UPPER_PART_OF_T_MASK; + + t1[output_offset] = coefficient; + output_offset += 1; + + coefficient = temp2 >> 6; + + temp1 = (32u)t1_encoded[input_offset]; + input_offset += 1; + + temp1 <<= 2; + coefficient |= temp1; + + t1[output_offset] = coefficient; + output_offset += 1; + + i += 1; + } + + return t1; + } + +} diff --git a/ref/ml_dsa_44/hashing.jinc b/ref/ml_dsa_44/hashing.jinc new file mode 100644 index 0000000..a295751 --- /dev/null +++ b/ref/ml_dsa_44/hashing.jinc @@ -0,0 +1,205 @@ +require "keccak/keccak1600.jinc" +require "arithmetic/rounding.jinc" + +param int SHAKE128_RATE = 168; +param int SHAKE256_RATE = 136; + +inline +fn hash_verification_key( + #spill_to_mmx reg ptr u8[VERIFICATION_KEY_SIZE] verification_key, + #spill_to_mmx reg ptr u8[VERIFICATION_KEY_HASH_SIZE] hash +) -> reg ptr u8[VERIFICATION_KEY_HASH_SIZE] +{ + stack u64[25] state; + #spill_to_mmx reg u64 verification_key_offset; + reg u64 state_offset; + + reg u8 byte; + + verification_key_offset = 0; + + // Absorb ... + + state = __keccak_init_ref1(state); + + while(verification_key_offset < VERIFICATION_KEY_SIZE - SHAKE256_RATE) { + state_offset = 0; + while(state_offset < SHAKE256_RATE) { + byte = verification_key[verification_key_offset]; + + state[u8 state_offset] ^= byte; + + verification_key_offset += 1; + state_offset += 1; + } + + () = #spill(verification_key_offset, verification_key, hash); + state = _keccakf1600_ref1(state); + () = #unspill(verification_key_offset, verification_key, hash); + } + + state_offset = 0; + while(verification_key_offset < VERIFICATION_KEY_SIZE) { + byte = verification_key[verification_key_offset]; + + state[u8 state_offset] ^= byte; + + verification_key_offset += 1; + state_offset += 1; + } + + state[u8 state_offset] ^= 0x1f; + state[u8 SHAKE256_RATE - 1] ^= 0x80; + + // ... then squeeze. + + () = #spill(hash); + state = _keccakf1600_ref1(state); + () = #unspill(hash); + + state_offset = 0; + while(state_offset < VERIFICATION_KEY_HASH_SIZE) { + byte = state[u8 state_offset]; + hash[state_offset] = byte; + state_offset += 1; + } + + return hash; +} + +inline +fn shake256_consider_permute(reg ptr u64[25] state, reg u64 offset) -> reg ptr u64[25], reg u64 { + if (offset >= SHAKE256_RATE) { + state = _keccakf1600_ref1(state); + ?{}, offset = #set0_64(); + } + return state, offset; +} +inline +fn derive_message_representative( + reg ptr u8[VERIFICATION_KEY_HASH_SIZE] hash_of_verification_key, + #spill_to_mmx reg u64 message, + #spill_to_mmx reg u64 message_size +) -> stack u8[MESSAGE_REPRESENTATIVE_SIZE] +{ + stack u8[MESSAGE_REPRESENTATIVE_SIZE] message_representative; + + stack u64[25] state; + + reg u8 byte; + reg u64 state_offset; + #spill_to_mmx reg u64 message_offset; + + // Absorb ... + + state = __keccak_init_ref1(state); + + state_offset = 0; + while(state_offset < VERIFICATION_KEY_HASH_SIZE) { + byte = hash_of_verification_key[state_offset]; + state[u8 state_offset] = byte; + + state_offset += 1; + } + + message_offset = 0; + while(message_offset < message_size) { + if (state_offset >= SHAKE256_RATE) { + () = #spill(message, message_offset, message_size); + state = _keccakf1600_ref1(state); + () = #unspill(message, message_offset, message_size); + + ?{}, state_offset = #set0_64(); + } + + byte = (u8) [message + message_offset]; + message_offset += 1; + + state[u8 state_offset] ^= byte; + state_offset += 1; + } + + // Absorb separator byte + state, state_offset = shake256_consider_permute(state, state_offset); + state[u8 state_offset] ^= 0x1f; + + // Finish + state, state_offset = shake256_consider_permute(state, state_offset); + state[u8 SHAKE256_RATE-1] ^= 0x80; + + state = _keccakf1600_ref1(state); + + state_offset = 0; + while(state_offset < MESSAGE_REPRESENTATIVE_SIZE) { + byte = state[u8 state_offset]; + message_representative[state_offset] = byte; + state_offset += 1; + } + + return message_representative; +} + +inline +fn derive_commitment_hash( + reg ptr u8[64] message_representative, + #spill_to_mmx reg ptr u8[ENCODED_COMMITMENT_SIZE] encoded_commitment + ) -> stack u8[COMMITMENT_HASH_SIZE] +{ + stack u8[COMMITMENT_HASH_SIZE] commitment_hash; + stack u64[25] state; + reg u8 byte; + reg u64 state_offset; + #spill_to_mmx reg u64 encoded_commitment_offset; + + state = __keccak_init_ref1(state); + state_offset = 0; + + // Absorb message_representative + while (state_offset < MESSAGE_REPRESENTATIVE_SIZE) { + byte = message_representative[state_offset]; + state[u8 state_offset] = byte; + state_offset += 1; + } + + // Absorb the encoded commitment + encoded_commitment_offset = 0; + while (encoded_commitment_offset < ENCODED_COMMITMENT_SIZE - SHAKE256_RATE) { + while(state_offset < SHAKE256_RATE) { + byte = encoded_commitment[encoded_commitment_offset]; + encoded_commitment_offset += 1; + + state[u8 state_offset] ^= byte; + state_offset += 1; + } + + () = #spill(encoded_commitment, encoded_commitment_offset); + state = _keccakf1600_ref1(state); + () = #unspill(encoded_commitment, encoded_commitment_offset); + + state_offset = 0; + } + + while(encoded_commitment_offset < ENCODED_COMMITMENT_SIZE) { + byte = encoded_commitment[encoded_commitment_offset]; + encoded_commitment_offset += 1; + + state[u8 state_offset] ^= byte; + state_offset += 1; + } + + // Absorb separator byte and finish + state[u8 state_offset] ^= 0x1f; + state[u8 SHAKE256_RATE - 1] ^= 0x80; + + // Now squeeze + + state = _keccakf1600_ref1(state); + state_offset = 0; + + while(state_offset < COMMITMENT_HASH_SIZE) { + byte = state[u8 state_offset]; + commitment_hash[state_offset] = byte; + state_offset += 1; + } + return commitment_hash; +} diff --git a/ref/ml_dsa_44/keccak/keccak1600.jinc b/ref/ml_dsa_44/keccak/keccak1600.jinc new file mode 100644 index 0000000..ab9962b --- /dev/null +++ b/ref/ml_dsa_44/keccak/keccak1600.jinc @@ -0,0 +1,15 @@ +param int KECCAK_ROUNDS=24; +require "keccakf1600.jinc" + +inline fn __keccak_init_ref1(reg ptr u64[25] state) -> reg ptr u64[25] +{ + inline int i; + reg u64 t; + + ?{}, t = #set0(); + for i=0 to 25 + { state[i] = t; } + + return state; +} + diff --git a/ref/ml_dsa_44/keccak/keccakf1600.jinc b/ref/ml_dsa_44/keccak/keccakf1600.jinc new file mode 100644 index 0000000..7dc5183 --- /dev/null +++ b/ref/ml_dsa_44/keccak/keccakf1600.jinc @@ -0,0 +1,165 @@ +// N.B.: This implementation has been taken from: +// https://github.com/formosa-crypto/libjade/blob/dev/src/common/keccak/keccak1600/amd64/ref1/keccakf1600.jinc + +require "keccakf1600_globals.jinc" // KECCAK1600_RC +require "keccakf1600_spec.jinc" // __rhotates_spec + +// C[x] = A[x,0] ^ A[x,1] ^ A[x,2] ^ A[x,3] ^ A[x,4] +inline fn __theta_sum_ref1(reg ptr u64[25] a) -> reg u64[5] +{ + inline int x y; + reg u64[5] c; + + // C[x] = A[x, 0] + for x=0 to 5 + { c[x] = a[x + 0]; } + + // C[x] ^= A[x,1] ^ A[x,2] ^ A[x,3] ^ A[x,4] + for y=1 to 5 + { for x=0 to 5 + { c[x] ^= a[x + y*5]; } + } + + return c; +} + + +// D[x] = C[x-1] ^ ROT(C[x+1], 1) +inline fn __theta_rol_ref1(reg u64[5] c) -> reg u64[5] +{ + inline int x; + reg u64[5] d; + + for x = 0 to 5 + { // D[x] = C[x + 1] + d[x] = c[(x + 1) % 5]; + + // D[x] = ROT(D[x], 1) + _, _, d[x] = #ROL_64(d[x], 1); + + // D[x] ^= C[x-1] + d[x] ^= c[(x - 1 + 5) % 5]; + } + + return d; +} + + +// B[x] = ROT( (A[x',y'] ^ D[x']), r[x',y'] ) with (x',y') = M^-1 (x,y) +// +// M = (0 1) M^-1 = (1 3) x' = 1x + 3y +// (2 3) (1 0) y' = 1x + 0y +// +inline fn __rol_sum_ref1( + reg ptr u64[25] a, + reg u64[5] d, + inline int y +) -> reg u64[5] +{ + inline int r x x_ y_; + reg u64[5] b; + + for x = 0 to 5 + { + x_ = (x + 3*y) % 5; + y_ = x; + r = __rhotates_spec(x_, y_); + + // B[x] = A[x',y'] + b[x] = a[x_ + y_*5]; + + // B[x] ^= D[x']; + b[x] ^= d[x_]; + + // B[x] = ROT( B[x], r[x',y'] ); + if(r != 0) + { _, _, b[x] = #ROL_64(b[x], r); } + + } + + return b; +} + + +// E[x, y] = B[x] ^ ( (!B[x+1]) & B[x+2] ) +// -- when x and y are 0: E[0,0] ^= RC[i]; +inline fn __set_row_ref1( + reg ptr u64[25] e, + reg u64[5] b, + inline int y, + stack u64 s_rc +) -> reg ptr u64[25] +{ + inline int x x1 x2; + reg u64 t; + + for x=0 to 5 + { + x1 = (x + 1) % 5; + x2 = (x + 2) % 5; + + //t = !b[x1] & b[x2]; + t = b[x1]; t = !t; t &= b[x2]; + + t ^= b[x]; + if( x==0 && y==0 ){ t ^= s_rc; } + e[x + y*5] = t; + } + + return e; +} + + +inline fn __round_ref1(reg ptr u64[25] e a, reg u64 rc) -> reg ptr u64[25] +{ + inline int y; + reg u64[5] b c d; + stack u64 s_rc; + + s_rc = rc; + + c = __theta_sum_ref1(a); + d = __theta_rol_ref1(c); + + for y = 0 to 5 + { b = __rol_sum_ref1(a, d, y); + e = __set_row_ref1(e, b, y, s_rc); + } + + return e; +} + + +inline fn __keccakf1600_ref1(reg ptr u64[25] a) -> reg ptr u64[25] +{ + reg ptr u64[24] RC; + stack u64[25] s_e; + reg ptr u64[25] e; + + reg u64 c rc; + + RC = KECCAK1600_RC; + e = s_e; + + c = 0; + while (c < KECCAK_ROUNDS - 1) + { + rc = RC[(int) c]; + e = __round_ref1(e, a, rc); + + rc = RC[(int) c + 1]; + a = __round_ref1(a, e, rc); + + c += 2; + } + + return a; +} + +// TODO: Rename this to ref1 +#[returnaddress="stack"] +fn _keccakf1600_ref1(reg ptr u64[25] a) -> reg ptr u64[25] +{ + a = __keccakf1600_ref1(a); + return a; +} diff --git a/ref/ml_dsa_44/keccak/keccakf1600_globals.jinc b/ref/ml_dsa_44/keccak/keccakf1600_globals.jinc new file mode 100644 index 0000000..54b16ad --- /dev/null +++ b/ref/ml_dsa_44/keccak/keccakf1600_globals.jinc @@ -0,0 +1,26 @@ +u64[24] KECCAK1600_RC = +{ 0x0000000000000001 + ,0x0000000000008082 + ,0x800000000000808a + ,0x8000000080008000 + ,0x000000000000808b + ,0x0000000080000001 + ,0x8000000080008081 + ,0x8000000000008009 + ,0x000000000000008a + ,0x0000000000000088 + ,0x0000000080008009 + ,0x000000008000000a + ,0x000000008000808b + ,0x800000000000008b + ,0x8000000000008089 + ,0x8000000000008003 + ,0x8000000000008002 + ,0x8000000000000080 + ,0x000000000000800a + ,0x800000008000000a + ,0x8000000080008081 + ,0x8000000000008080 + ,0x0000000080000001 + ,0x8000000080008008 +}; diff --git a/ref/ml_dsa_44/keccak/keccakf1600_spec.jinc b/ref/ml_dsa_44/keccak/keccakf1600_spec.jinc new file mode 100644 index 0000000..97776b8 --- /dev/null +++ b/ref/ml_dsa_44/keccak/keccakf1600_spec.jinc @@ -0,0 +1,36 @@ +inline fn __index_spec(inline int x y) -> inline int +{ + inline int r; + r = (x % 5) + 5 * (y % 5); + return r; +} + + +inline fn __keccak_rho_offsets_spec(inline int i) -> inline int +{ + inline int r x y z t; + + r = 0; + x = 1; + y = 0; + + for t = 0 to 24 { + if (i == x + 5 * y) { + r = ((t + 1) * (t + 2) / 2) % 64; + } + z = (2 * x + 3 * y) % 5; + x = y; + y = z; + } + + return r; +} + + +inline fn __rhotates_spec(inline int x y) -> inline int +{ + inline int i r; + i = __index_spec(x, y); + r = __keccak_rho_offsets_spec(i); + return r; +} diff --git a/ref/ml_dsa_44/keygen.jinc b/ref/ml_dsa_44/keygen.jinc new file mode 100644 index 0000000..ce7e33d --- /dev/null +++ b/ref/ml_dsa_44/keygen.jinc @@ -0,0 +1,114 @@ +require "hashing.jinc" +require "hashing.jinc" +require "row_vector.jinc" +require "column_vector.jinc" +require "parameters.jinc" +require "constants.jinc" +require "encoding/s1.jinc" +require "encoding/s2.jinc" +require "encoding/t0.jinc" +require "encoding/t1.jinc" +require "sample/matrix_A.jinc" +require "sample/error_vectors.jinc" + +inline +fn prepare_state_for_shake256( + reg ptr u64[25] state, + reg ptr u8[32] randomness, + reg u8 number_of_rows, + reg u8 number_of_columns +) -> stack u64[25] { + reg u8 byte; + + reg u64 i; + + state = __keccak_init_ref1(state); + + i = 0; + while (i < 32) { + byte = randomness[i]; + state[u8 i] = byte; + + i += 1; + } + state[u8 32] = number_of_rows; + state[u8 33] = number_of_columns; + state[u8 34] ^= 0x1f; + state[u8 SHAKE256_RATE - 1] ^= 0x80; + + return state; +} + +#[sct="{ptr: public, val: secret} -> transient * secret"] +inline +fn keygen_internal(reg ptr u8[32] randomness) + -> stack u8[VERIFICATION_KEY_SIZE], + stack u8[SIGNING_KEY_SIZE] +{ + #public stack u8[VERIFICATION_KEY_SIZE] verification_key; + #secret stack u8[SIGNING_KEY_SIZE] signing_key; + + // PRF + stack u64[25] state; + + // PRF outputs + #public stack u8[32] seed_for_matrix_A; + #secret stack u8[64] seed_for_error_vectors; + #secret stack u8[32] seed_for_signing; + + // Matrices and vectors + stack u32[ROWS_IN_MATRIX_A * COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] matrix_A; + #secret stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s1; + #secret stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s2; + + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] t t0 t1; + + state = prepare_state_for_shake256(state, randomness, ROWS_IN_MATRIX_A, COLUMNS_IN_MATRIX_A); + state = _keccakf1600_ref1(state); + + #declassify seed_for_matrix_A = state[u8 0:SEED_FOR_MATRIX_A_SIZE]; + + seed_for_error_vectors = state[u8 SEED_FOR_MATRIX_A_SIZE:SEED_FOR_ERROR_VECTORS_SIZE]; + seed_for_signing = state[u8 SEED_FOR_MATRIX_A_SIZE + SEED_FOR_ERROR_VECTORS_SIZE:SEED_FOR_SIGNING_SIZE]; + + s1, s2 = sample::error_vectors(seed_for_error_vectors); + + // Serialize most of the signing key here; in particular serialize + // s1 and s2 before applying the NTT to them. + signing_key[0:SEED_FOR_MATRIX_A_SIZE] = #copy(seed_for_matrix_A); + + signing_key[SEED_FOR_MATRIX_A_SIZE:SEED_FOR_SIGNING_SIZE] = #copy(seed_for_signing); + + signing_key[START_OF_S1_IN_ENCODED_SIGNING_KEY : S1_ENCODED_SIZE] = + s1::encode(s1, signing_key[START_OF_S1_IN_ENCODED_SIGNING_KEY: S1_ENCODED_SIZE]); + + signing_key[START_OF_S2_IN_ENCODED_SIGNING_KEY : S2_ENCODED_SIZE] = + s2::encode(s2, signing_key[START_OF_S2_IN_ENCODED_SIGNING_KEY : S2_ENCODED_SIZE]); + + s1 = row_vector::ntt(s1); + + _ = #init_msf(); + matrix_A = sample::matrix_A(seed_for_matrix_A); + + t = row_vector::multiply_with_matrix_A(matrix_A, s1); + t = column_vector::reduce32(t); + t = column_vector::invert_ntt_montgomery(t); + + t = column_vector::add(t, s2); + + t = column_vector::conditionally_add_modulus(t); + t1, t0 = column_vector::power2round(t); + + // Serialize the verification key. + verification_key[0:32] = #copy(seed_for_matrix_A); + #declassify verification_key[32: T1_ENCODED_SIZE] + = t1::encode(verification_key[32: T1_ENCODED_SIZE], t1); + + // ... and finish serializing the signing key. + signing_key[64:64] = hash_verification_key(verification_key, signing_key[64:64]); + + signing_key[START_OF_T0_IN_ENCODED_SIGNING_KEY: T0_ENCODED_SIZE] + = t0::encode(signing_key[START_OF_T0_IN_ENCODED_SIGNING_KEY: T0_ENCODED_SIZE], t0); + + return verification_key, signing_key; +} diff --git a/ref/ml_dsa_44/ml_dsa.jazz b/ref/ml_dsa_44/ml_dsa.jazz new file mode 100644 index 0000000..952a3d5 --- /dev/null +++ b/ref/ml_dsa_44/ml_dsa.jazz @@ -0,0 +1,123 @@ +require "keygen.jinc" +require "sign.jinc" +require "verify.jinc" + +// N.B.: If it seems that some functions seemingly lack annotations to guide the +// constant-time (CT) checker, it is because it looks for #[sct=...] annotations +// and ignores speculative-constant-time (SCT) related information; this is to say, +// the annotation given to the SCT checker can suffice for the CT checker as well. + +// N.B.: Signing and verification assume the domain separation context has already +// been appended to the message; they do NOT validate whether this was done in +// accordance with the FIPS-204 specification. +// +// Ideally, we'd pass in two additional arguments, one being a pointer to the +// context string and the other being the size of said string, but we're already +// at 5 arguments for signing, and Jasmin does not currently support functions +// that take more than 6 arguments. + +// See api.h for the sizes of the buffers expected by these functions. + +#[sct="transient * transient * {ptr: transient, val: secret} -> ()"] +export fn ml_dsa_44_keygen( + #spill_to_mmx reg u64 verification_key_out, + #spill_to_mmx reg u64 signing_key_out, + reg ptr u8[32] randomness) +{ + #public stack u8[VERIFICATION_KEY_SIZE] verification_key; + #secret stack u8[SIGNING_KEY_SIZE] signing_key; + + reg u8 byte; + reg u64 i; + + _ = #init_msf(); + + () = #spill(verification_key_out, signing_key_out); + verification_key, signing_key = keygen_internal(randomness); + () = #unspill(verification_key_out, signing_key_out); + + i = 0; + while (i < VERIFICATION_KEY_SIZE) { + byte = verification_key[i]; + (u8)[verification_key_out + i] = byte; + i += 1; + } + + i = 0; + while(i < SIGNING_KEY_SIZE) { + byte = signing_key[i]; + (u8)[signing_key_out + i] = byte; + i += 1; + } +} + +#[sct="transient * transient * transient * transient * {ptr: transient, val: secret} -> ()"] +export fn ml_dsa_44_sign( + #spill_to_mmx reg u64 signature_out, + reg u64 signing_key, + reg u64 message, + reg u64 message_size, + reg ptr u8[32] randomness +) +{ + #secret stack u8[SIGNING_KEY_SIZE] signing_key_on_stack; + + stack u8[SIGNATURE_SIZE] signature; + + #flexible reg u8 byte; + reg u64 i = 0; + + _ = #init_msf(); + + i = 0; + while(i < SIGNING_KEY_SIZE) { + byte = (u8)[signing_key + i]; + signing_key_on_stack[i] = byte; + i += 1; + } + + () = #spill(signature_out); + signature = sign_internal(signing_key_on_stack, message, message_size, randomness); + () = #unspill(signature_out); + + i = 0; + while(i < SIGNATURE_SIZE) { + byte = signature[i]; + (u8)[signature_out + i] = byte; + i += 1; + } +} + +export fn ml_dsa_44_verify( + #transient reg u64 verification_key, + #transient reg u64 message message_size, + #transient reg u64 signature +) -> #public reg u64 { + #public stack u8[VERIFICATION_KEY_SIZE] verification_key_on_stack; + #public stack u8[SIGNATURE_SIZE] signature_on_stack; + + #public reg u64 verification_result; + + #public reg u8 byte; + reg u64 i; + + _ = #init_msf(); + + i = 0; + while(i < VERIFICATION_KEY_SIZE) { + #declassify byte = (u8)[verification_key + i]; + verification_key_on_stack[i] = byte; + i += 1; + } + + i = 0; + while(i < SIGNATURE_SIZE) { + #declassify byte = (u8)[signature + i]; + signature_on_stack[i] = byte; + i += 1; + } + + verification_result = verify_internal(verification_key_on_stack, message, message_size, signature_on_stack); + + return verification_result; +} diff --git a/ref/ml_dsa_44/parameters.jinc b/ref/ml_dsa_44/parameters.jinc new file mode 100644 index 0000000..694c50c --- /dev/null +++ b/ref/ml_dsa_44/parameters.jinc @@ -0,0 +1,76 @@ +require "constants.jinc" + +param int ROWS_IN_MATRIX_A = 4; +param int COLUMNS_IN_MATRIX_A = 4; + +param int ETA = 2; +// This is calculated as: +// (BITS_PER_ERROR_COEFFICIENT * COEFFICIENTS_IN_POLYNOMIAL) / 8 +// For ML-DSA-44, BITS_PER_ERROR_COEFFICIENT is 3. +param int ENCODED_ERROR_POLYNOMIAL_SIZE = 96; + +param int GAMMA1 = (1 << 17); +param int BITS_TO_ENCODE_GAMMA1_COEFFICIENT = 18; + +param int GAMMA2 = (MODULUS - 1) / 88; + +param int MAX_ONES_IN_HINT = 80; + +// Commitment coefficients are in the interval: [0, ((FIELD_MODULUS − 1)/2γ2) − 1] +// ((FIELD_MODULUS − 1)/2γ2) − 1 = 43, which means we need 6 bits to represent a +// coefficient. +param int BITS_PER_COMMITMENT_COEFFICIENT = 6; + +param int COMMITMENT_HASH_SIZE = 32; + +param int ONES_IN_VERIFIER_CHALLENGE = 39; + +// ---------------------------------------------------------------------- +// The constants below are all determined from the values specified above. +// ---------------------------------------------------------------------- + +param int T0_ENCODED_SIZE = ROWS_IN_MATRIX_A * T0_POLYNOMIAL_ENCODED_SIZE; +param int T1_ENCODED_SIZE = ROWS_IN_MATRIX_A * T1_POLYNOMIAL_ENCODED_SIZE; + +param int S1_ENCODED_SIZE = COLUMNS_IN_MATRIX_A * ENCODED_ERROR_POLYNOMIAL_SIZE; +param int S2_ENCODED_SIZE = ROWS_IN_MATRIX_A * ENCODED_ERROR_POLYNOMIAL_SIZE; + +param int VERIFICATION_KEY_SIZE = + SEED_FOR_MATRIX_A_SIZE + + T1_ENCODED_SIZE; + +param int SIGNING_KEY_SIZE = + SEED_FOR_MATRIX_A_SIZE + + SEED_FOR_SIGNING_SIZE + + VERIFICATION_KEY_HASH_SIZE + + S1_ENCODED_SIZE + + S2_ENCODED_SIZE + + T0_ENCODED_SIZE; + +param int START_OF_S1_IN_ENCODED_SIGNING_KEY = + SEED_FOR_MATRIX_A_SIZE + + SEED_FOR_SIGNING_SIZE + + VERIFICATION_KEY_HASH_SIZE; + +param int START_OF_S2_IN_ENCODED_SIGNING_KEY = + START_OF_S1_IN_ENCODED_SIGNING_KEY + + S1_ENCODED_SIZE; + +param int START_OF_T0_IN_ENCODED_SIGNING_KEY = + START_OF_S2_IN_ENCODED_SIGNING_KEY + + S2_ENCODED_SIZE; + +param int ENCODED_GAMMA1_POLYNOMIAL_SIZE = + (BITS_TO_ENCODE_GAMMA1_COEFFICIENT * COEFFICIENTS_IN_POLYNOMIAL) / 8; +param int GAMMA1_ENCODED_SIZE = COLUMNS_IN_MATRIX_A * ENCODED_GAMMA1_POLYNOMIAL_SIZE; +param int HINT_ENCODED_SIZE = MAX_ONES_IN_HINT + ROWS_IN_MATRIX_A; + +param int SIGNATURE_SIZE = COMMITMENT_HASH_SIZE + + GAMMA1_ENCODED_SIZE + + HINT_ENCODED_SIZE; + +param int ENCODED_COMMITMENT_POLYNOMIAL_SIZE = + (BITS_PER_COMMITMENT_COEFFICIENT * COEFFICIENTS_IN_POLYNOMIAL) / 8; +param int ENCODED_COMMITMENT_SIZE = ENCODED_COMMITMENT_POLYNOMIAL_SIZE * ROWS_IN_MATRIX_A; + +param int BETA = ONES_IN_VERIFIER_CHALLENGE * ETA; diff --git a/ref/ml_dsa_44/polynomial.jinc b/ref/ml_dsa_44/polynomial.jinc new file mode 100644 index 0000000..e2aa784 --- /dev/null +++ b/ref/ml_dsa_44/polynomial.jinc @@ -0,0 +1,228 @@ +require "parameters.jinc" +require "arithmetic/modular.jinc" + +namespace polynomial { + fn add(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] lhs rhs sum) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] { + reg u32 lhs_coefficient rhs_coefficient; + + reg u64 i; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + lhs_coefficient = lhs[i]; + rhs_coefficient = rhs[i]; + lhs_coefficient += rhs_coefficient; + + sum[i] = lhs_coefficient; + + i += 1; + } + return sum; + } + + fn subtract(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] lhs rhs difference) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] { + reg u32 lhs_coefficient rhs_coefficient; + + reg u64 i; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + lhs_coefficient = lhs[i]; + rhs_coefficient = rhs[i]; + + lhs_coefficient -= rhs_coefficient; + difference[i] = lhs_coefficient; + i += 1; + } + return difference; + } + + fn sum_coefficients(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] f sum) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u32 v32 result; + + reg u64 i; + ?{}, i = #set0_64(); + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + v32 = f[i]; + result = sum[i]; + result += v32; + sum[i] = result; + i += 1; + } + return sum; + } + + fn pointwise_montgomery_product(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] lhs rhs product) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] { + reg u64 lhs_coefficient rhs_coefficient; + reg u32 product_reduced; + + reg u64 i; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + lhs_coefficient = (64s)lhs[i]; + rhs_coefficient = (64s)rhs[i]; + + lhs_coefficient *= rhs_coefficient; + product_reduced = montgomery_reduce(lhs_coefficient); + + product[i] = product_reduced; + i += 1; + } + + return product; + } + + fn zero(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] { + reg u64 i; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + // Montgomery of 0 is 0 + polynomial[i] = 0; + i += 1; + } + + return polynomial; + } + + fn conditionally_add_modulus(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] f) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 i; + reg u32 val; + ?{}, i = #set0_64(); + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + val = f[i]; + val = coefficient::conditionally_add_modulus(val); + f[i] = val; + i += 1; + } + return f; + } + + inline + fn check_infinity_norm(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial, inline int threshold) + -> reg u8 + { + reg u8 ret; + reg u8 result; + reg u32 coefficient; + + reg u64 i; + + result = 0; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + coefficient = polynomial[i]; + ret = coefficient::check_norm(coefficient, threshold); + result |= ret; + i += 1; + } + + return result; + } + + inline + fn make_hint(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] f0 f1 hints) + -> reg u32, reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u32 weight a0 a1 hint; + reg u64 i; + + reg u64 msf = #init_msf(); + + inline bool condition; + + weight = 0; + i = 0; + while {condition = i < COEFFICIENTS_IN_POLYNOMIAL;} (condition) { + msf = #update_msf(condition, msf); + + a0 = f0[i]; + a0 = #protect_32(a0, msf); + + a1 = f1[i]; + a1 = #protect_32(a1, msf); + + hint, msf = coefficient::make_hint(a0, a1, msf); + hints[i] = hint; + weight += hint; + i += 1; + } + + return weight, hints; + } + + fn reduce32(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 i; + reg u32 coeff reduced; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + coeff = polynomial[i]; + reduced = coefficient::reduce32(coeff); + polynomial[i] = reduced; + + i += 1; + } + + return polynomial; + } + + inline + fn shift_coefficients_left(reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] polynomial) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] { + reg u64 i; + reg u32 coefficient; + + i = 0; + while (i < COEFFICIENTS_IN_POLYNOMIAL) { + coefficient = polynomial[i]; + coefficient <<= BITS_IN_LOWER_PART_OF_T; + polynomial[i] = coefficient; + i += 1; + } + + return polynomial; + } + + fn use_hints( + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] commitment hints + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 i; + reg u32 a h; + + reg u64 msf = #init_msf(); + + inline bool b; + + i = 0; + while { b = i < COEFFICIENTS_IN_POLYNOMIAL; } (b) { + msf = #update_msf(b, msf); + + h = hints[i]; + h = #protect_32(h, msf); + + a = commitment[i]; + a = #protect_32(a, msf); + + a, msf = coefficient::use_hint(a, h, msf); + + commitment[i] = a; + + i += 1; + } + + return commitment; + } +} diff --git a/ref/ml_dsa_44/row_vector.jinc b/ref/ml_dsa_44/row_vector.jinc new file mode 100644 index 0000000..020c577 --- /dev/null +++ b/ref/ml_dsa_44/row_vector.jinc @@ -0,0 +1,172 @@ +require "polynomial.jinc" +require "arithmetic/rounding.jinc" +require "arithmetic/ntt.jinc" + +// A row vector has dimensions 1 * COLUMNS_IN_MATRIX_A +namespace row_vector { + fn ntt( + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector + ) -> reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + inline int i; + + for i = 0 to COLUMNS_IN_MATRIX_A { + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::ntt( + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return vector; + } + + fn invert_ntt_montgomery( + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector + ) -> reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + inline int i; + + for i = 0 to COLUMNS_IN_MATRIX_A { + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::invert_ntt_montgomery( + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return vector; + } + + inline + fn add(stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] lhs rhs) + -> stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] sum; + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] lhs_polynomial rhs_polynomial polynomial_sum; + + inline int i; + for i = 0 to COLUMNS_IN_MATRIX_A { + lhs_polynomial = lhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + rhs_polynomial = rhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + + polynomial_sum = sum[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + polynomial_sum = polynomial::add(lhs_polynomial, rhs_polynomial, polynomial_sum); + + sum[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = polynomial_sum; + } + return sum; + } + + inline + fn dot_product(stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] lhs rhs, reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] output) + -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] lhs_polynomial rhs_polynomial; + stack u32[COEFFICIENTS_IN_POLYNOMIAL] product; + + inline int i; + + output = polynomial::zero(output); + for i = 0 to COLUMNS_IN_MATRIX_A { + lhs_polynomial = lhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + rhs_polynomial = rhs[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + product = polynomial::pointwise_montgomery_product(lhs_polynomial, rhs_polynomial, product); + output = polynomial::sum_coefficients(product, output); + } + + return output; + } + + inline + fn multiply_by_polynomial( + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] f + ) -> stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] fvector; + + inline int ii; + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] fg g; + + for ii = 0 to COLUMNS_IN_MATRIX_A { + fg = fvector[ii * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + g = vector[ii * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + fg = polynomial::pointwise_montgomery_product(f, g, fg); + fvector[ii * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = fg; + } + + return fvector; + } + + // Compute A * NTT(vector) + inline + fn multiply_with_matrix_A( + reg ptr u32[ROWS_IN_MATRIX_A * COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] matrix_A, + reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] out; + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] out_rsp; + + inline int i; + for i = 0 to ROWS_IN_MATRIX_A { + out_rsp = out[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL]; + out_rsp = dot_product( + matrix_A[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL * i : COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL], + vector, out_rsp); + out[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = out_rsp; + } + + return out; + } + + inline + fn conditionally_add_modulus(reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + inline int i; + for i = 0 to COLUMNS_IN_MATRIX_A { + vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + polynomial::conditionally_add_modulus(vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]); + } + return vector; + } + + fn reduce32(reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector) + -> reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + reg u64 i; + reg u32 coefficient; + + i = 0; + while(i < COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL) { + coefficient = vector[i]; + coefficient = coefficient::reduce32(coefficient); + vector[i] = coefficient; + + i += 1; + } + + return vector; + } + + inline + fn check_infinity_norm(reg ptr u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] vector, inline int threshold) + -> reg u8 + { + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] vector_element; + reg u8 result; + + reg u8 ret; + + inline int i; + + result = 0; + for i = 0 to COLUMNS_IN_MATRIX_A { + vector_element = vector[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + ret = polynomial::check_infinity_norm(vector_element, threshold); + result |= ret; + } + + return result; + } +} diff --git a/ref/ml_dsa_44/sample/challenge.jinc b/ref/ml_dsa_44/sample/challenge.jinc new file mode 100644 index 0000000..aa2ef82 --- /dev/null +++ b/ref/ml_dsa_44/sample/challenge.jinc @@ -0,0 +1,100 @@ +require "../hashing.jinc" +require "../parameters.jinc" +require "../encoding/gamma1.jinc" + +inline +fn absorb_to_generate_challenges( + reg ptr u64[25] state, + reg ptr u8[COMMITMENT_HASH_SIZE] commitment_hash +) -> stack u64[25] { + reg u8 byte; + + inline int i; + + state = __keccak_init_ref1(state); + + for i = 0 to COMMITMENT_HASH_SIZE { + byte = commitment_hash[i]; + state[u8 i] = byte; + } + state[u8 COMMITMENT_HASH_SIZE] = 0x1f; + state[u8 SHAKE256_RATE - 1] = 0x80; + + return state; +} + +namespace sample { + inline + fn challenge( + #spill_to_mmx reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] output_challenge, + reg ptr u8[COMMITMENT_HASH_SIZE] seed + ) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] + { + stack u64[25] state; + + reg u64 i; + reg u64 sample_at; + reg u64 signs xof_offset; + reg u64 byte; + reg u32 coefficient shift; + + inline int j; + + state = absorb_to_generate_challenges(state, seed); + + () = #spill(output_challenge); + state = _keccakf1600_ref1(state); + () = #unspill(output_challenge); + + signs = 0; + for j = 0 to 8 { + byte = (64u)state[u8 j]; + byte <<= 8 * j; + + signs |= byte; + } + xof_offset = 8; + + i = 0; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + output_challenge[i] = 0; + i += 1; + } + + i = COEFFICIENTS_IN_POLYNOMIAL - ONES_IN_VERIFIER_CHALLENGE; + while(i < COEFFICIENTS_IN_POLYNOMIAL) { + while { + if(xof_offset >= SHAKE256_RATE) { + () = #spill(output_challenge, i, signs); + state = _keccakf1600_ref1(state); + () = #unspill(output_challenge, i, signs); + + xof_offset = 0; + } + sample_at = (64u) state[u8 xof_offset]; + _ = #init_msf(); + + xof_offset += 1; + } (sample_at > i) + + coefficient = output_challenge[sample_at]; + output_challenge[i] = coefficient; + + // output_challenge[sample_at] = 1 - 2 * (signs & 1); + shift = (32u)signs; + shift &= 1; + shift <<= 1; + + coefficient = 1; + coefficient -= shift; + + output_challenge[sample_at] = coefficient; + + signs >>= 1; + + i += 1; + } + + return output_challenge; + } +} diff --git a/ref/ml_dsa_44/sample/error_vectors.jinc b/ref/ml_dsa_44/sample/error_vectors.jinc new file mode 100644 index 0000000..e805fdd --- /dev/null +++ b/ref/ml_dsa_44/sample/error_vectors.jinc @@ -0,0 +1,187 @@ +require "../constants.jinc" +require "../hashing.jinc" + +// N.B.: This file varies according to parameter set. + +inline +fn absorb_to_generate_errors( + reg ptr u64[25] state, + reg ptr u8[SEED_FOR_ERROR_VECTORS_SIZE] rho_prime, + reg u16 index +) -> stack u64[25] { + reg u8 byte; + reg u64 i; + + state = __keccak_init_ref1(state); + + i = 0; + while(i < SEED_FOR_ERROR_VECTORS_SIZE) { + byte = rho_prime[i]; + state[u8 i] = byte; + i += 1; + } + + state[u8 SEED_FOR_ERROR_VECTORS_SIZE] = (8u)index; + + // This can be set to 0 since index is never greater than + // ROWS_IN_MATRIX_A + COLUMNS_IN_MATRIX_A. + state[u8 65] = 0; + + state[u8 66] = 0x1f; + state[u8 SHAKE256_RATE - 1] = 0x80; + + return state; +} + +fn rejection_sample_less_than_eta( + reg ptr u64[25] state, + #spill_to_mmx reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] error, + #spill_to_mmx reg u64 sampled +) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL], reg u64 +{ + reg u64 xof_offset; + #public reg u32 coefficient coefficient_mod_5; + reg u8 byte; + + inline bool b; + + reg u64 msf = #init_msf(); + + xof_offset = 0; + + while { b = xof_offset < SHAKE256_RATE; } (b) { + msf = #update_msf(b, msf); + + b = sampled < COEFFICIENTS_IN_POLYNOMIAL; + if (b) { + msf = #update_msf(b, msf); + + byte = state[u8 xof_offset]; + + #declassify coefficient = (32u)byte; + coefficient &= 0x0F; + + coefficient = #protect_32(coefficient, msf); + + b = coefficient < 15; + if (b) { + msf = #update_msf(b, msf); + + coefficient_mod_5 = coefficient * 26; + coefficient_mod_5 >>= 7; + coefficient_mod_5 *= 5; + + coefficient -= coefficient_mod_5; + + coefficient -= ETA; + coefficient = -coefficient; + + error[sampled] = coefficient; + + sampled += 1; + } else { + msf = #update_msf(!b, msf); + } + + b = sampled < COEFFICIENTS_IN_POLYNOMIAL; + if (b) { + msf = #update_msf(b, msf); + + #declassify coefficient = (32u)byte; + coefficient >>= 4; + coefficient = #protect_32(coefficient, msf); + + b = coefficient < 15; + if (b) { + msf = #update_msf(b, msf); + + coefficient_mod_5 = coefficient * 26; + coefficient_mod_5 >>= 7; + coefficient_mod_5 *= 5; + + coefficient -= coefficient_mod_5; + coefficient -= ETA; + coefficient = -coefficient; + + error[sampled] = coefficient; + + sampled += 1; + } else { + msf = #update_msf(!b, msf); + } + } else { + msf = #update_msf(!b, msf); + } + + } else { + msf = #update_msf(!b, msf); + } + + xof_offset += 1; + } + + return error, sampled; +} + +inline +fn sample_error_polynomial( + reg ptr u8[SEED_FOR_ERROR_VECTORS_SIZE] rho_prime, + inline int i, + #spill_to_mmx reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] error +) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] +{ + #spill_to_mmx reg u64 coefficients_sampled; + stack u64[25] state; + + () = #spill(error); + state = absorb_to_generate_errors(state, rho_prime, i); + state = _keccakf1600_ref1(state); + () = #unspill(error); + + coefficients_sampled = 0; + error, coefficients_sampled = rejection_sample_less_than_eta(state, error, coefficients_sampled); + + while (coefficients_sampled < COEFFICIENTS_IN_POLYNOMIAL) { + () = #spill(coefficients_sampled, error); + state = _keccakf1600_ref1(state); + () = #unspill(coefficients_sampled, error); + + error, coefficients_sampled = rejection_sample_less_than_eta(state, error, coefficients_sampled); + } + + return error; +} + +namespace sample { + inline + fn error_vectors(stack u8[SEED_FOR_ERROR_VECTORS_SIZE] rho_prime) + -> #secret stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL], + #secret stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] { + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s1; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s2; + + inline int i; + + for i = 0 to COLUMNS_IN_MATRIX_A { + s1[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = + sample_error_polynomial + ( + rho_prime, + i, + s1[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + for i = 0 to ROWS_IN_MATRIX_A { + s2[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = + sample_error_polynomial + ( + rho_prime, + COLUMNS_IN_MATRIX_A + i, + s2[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + + return s1, s2; + } +} diff --git a/ref/ml_dsa_44/sample/mask.jinc b/ref/ml_dsa_44/sample/mask.jinc new file mode 100644 index 0000000..15e7df3 --- /dev/null +++ b/ref/ml_dsa_44/sample/mask.jinc @@ -0,0 +1,101 @@ +require "../hashing.jinc" +require "../parameters.jinc" +require "../encoding/gamma1.jinc" + +inline +fn absorb_for_shake256( + reg ptr u8[64] rho_prime, + reg u16 domain_separator, + stack u64[25] state +) -> stack u64[25] { + reg u16 v; + + state = __keccak_init_ref1(state); + state[u8 0:64] = #copy(rho_prime); + + v = domain_separator; + v &= 0xFF; + state[u8 64] = (8u)v; + + v = domain_separator; + v >>= 8; + state[u8 65] = (8u)v; + + state[u8 66] ^= 0x1f; + state[u8 SHAKE256_RATE - 1] ^= 0x80; + + return state; +} + +// We calculate ceil(a/b) = floor((a + b - 1) / b) where: +// a = ENCODED_GAMMA1_POLYNOMIAL_SIZE +// b = SHAKE256_RATE +param int SHAKE256_BLOCKS_FOR_GAMMA1_ENCODED_POLYNOMIAL = + (ENCODED_GAMMA1_POLYNOMIAL_SIZE + SHAKE256_RATE - 1) / SHAKE256_RATE; + +inline +fn sample_mask_polynomial( + reg ptr u8[64] rho_prime, + reg u16 domain_separator, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] mask +) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] { + reg u64 mask_encoded_offset; + + reg u64 i; + reg u8 byte; + stack u64[25] state; + stack u8[SHAKE256_BLOCKS_FOR_GAMMA1_ENCODED_POLYNOMIAL * SHAKE256_RATE] mask_encoded; + + inline int block_being_squeezed; + + state = absorb_for_shake256(rho_prime, domain_separator, state); + + mask_encoded_offset = 0; + for block_being_squeezed = 0 to SHAKE256_BLOCKS_FOR_GAMMA1_ENCODED_POLYNOMIAL { + () = #spill(mask, mask_encoded_offset); + state = _keccakf1600_ref1(state); + () = #unspill(mask, mask_encoded_offset); + + _ = #init_msf(); + + i = 0; + while(i < SHAKE256_RATE) { + byte = state[u8 i]; + i += 1; + + mask_encoded[mask_encoded_offset] = byte; + mask_encoded_offset += 1; + } + + block_being_squeezed += 1; + } + + mask = gamma1::decode_to_polynomial(mask_encoded[0 : ENCODED_GAMMA1_POLYNOMIAL_SIZE], mask); + + return mask; +} + +namespace sample { + inline + fn mask(stack u8[64] rho_prime, stack u16 domain_separator) + -> stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL], stack u16 + { + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] mask; + + inline int i; + + for i = 0 to COLUMNS_IN_MATRIX_A { + mask[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] = + sample_mask_polynomial + ( + rho_prime, + domain_separator, + mask[COEFFICIENTS_IN_POLYNOMIAL * i : COEFFICIENTS_IN_POLYNOMIAL] + ); + + domain_separator += 1; + } + + return mask, domain_separator; + } +} diff --git a/ref/ml_dsa_44/sample/matrix_A.jinc b/ref/ml_dsa_44/sample/matrix_A.jinc new file mode 100644 index 0000000..82bee23 --- /dev/null +++ b/ref/ml_dsa_44/sample/matrix_A.jinc @@ -0,0 +1,140 @@ +require "../hashing.jinc" + +inline +fn absorb_for_shake128( + reg ptr u64[25] state, + reg const ptr u8[32] rho, + inline int i, + inline int j +) -> reg ptr u64[25] +{ + reg u8 byte; + reg u64 k; + + state = __keccak_init_ref1(state); + + k = 0; + while (k < 32) { + byte = rho[k]; + state[u8 k] = byte; + + k += 1; + } + state[u8 32] = j; + state[u8 33] = i; + + state[u8 34] = 0x1f; + state[u8 SHAKE128_RATE - 1] = 0x80; + + return state; +} + +fn rejection_sample_less_than_field_modulus( + reg ptr u64[25] state, + #spill_to_mmx reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] result, + #spill_to_mmx reg u64 sampled +) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL], reg u64 +{ + reg u64 xof_offset; + #public reg u32 try_coefficient byte; + + inline bool b; + + inline int k; + + reg u64 msf = #init_msf(); + + xof_offset = 0; + + while { b = xof_offset < SHAKE128_RATE; } (b) { + msf = #update_msf(b, msf); + + b = sampled < COEFFICIENTS_IN_POLYNOMIAL; + if (b) { + msf = #update_msf(b, msf); + + try_coefficient = 0; + for k = 0 to 3 { + #declassify byte = (32u)state[u8 xof_offset + k]; + + byte <<= 8 * k; + try_coefficient |= byte; + } + try_coefficient &= 0x00_7F_FF_FF; + try_coefficient = #protect_32(try_coefficient, msf); + + + b = try_coefficient < MODULUS; + if (b) { + msf = #update_msf(b, msf); + result[sampled] = try_coefficient; + sampled += 1; + } else { + msf = #update_msf(!b, msf); + } + } else { + msf = #update_msf(!b, msf); + } + + xof_offset += 3; + } + + return result, sampled; +} + +inline +fn sample_polynomial( + reg ptr u8[32] rho, + inline int i, + inline int j, + #spill_to_mmx reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] result +) -> reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] +{ + #spill_to_mmx reg u64 coefficients_sampled; + stack u64[25] state; + + () = #spill(result); + state = absorb_for_shake128(state, rho, i, j); + state = _keccakf1600_ref1(state); + () = #unspill(result); + + coefficients_sampled = 0; + result, coefficients_sampled = rejection_sample_less_than_field_modulus(state, result, coefficients_sampled); + + while (coefficients_sampled < COEFFICIENTS_IN_POLYNOMIAL) { + () = #spill(coefficients_sampled, result); + state = _keccakf1600_ref1(state); + () = #unspill(coefficients_sampled, result); + + result, coefficients_sampled = rejection_sample_less_than_field_modulus(state, result, coefficients_sampled); + } + + return result; +} + +namespace sample { + inline + fn matrix_A( + #public stack u8[32] rho + ) -> stack u32[ROWS_IN_MATRIX_A * COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] + { + stack u32[ROWS_IN_MATRIX_A * COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] matrix_A; + + inline int i j; + + for i = 0 to ROWS_IN_MATRIX_A { + for j = 0 to COLUMNS_IN_MATRIX_A { + matrix_A[(i * COLUMNS_IN_MATRIX_A + j) * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = + sample_polynomial + ( + rho, + i, + j, + matrix_A[(i * COLUMNS_IN_MATRIX_A + j) * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] + ); + } + } + + return matrix_A; + } +} diff --git a/ref/ml_dsa_44/sign.jinc b/ref/ml_dsa_44/sign.jinc new file mode 100644 index 0000000..a1808a0 --- /dev/null +++ b/ref/ml_dsa_44/sign.jinc @@ -0,0 +1,182 @@ +require "hashing.jinc" +require "hashing.jinc" +require "constants.jinc" +require "parameters.jinc" +require "encoding/s1.jinc" +require "encoding/s2.jinc" +require "encoding/t0.jinc" +require "encoding/signature.jinc" +require "encoding/commitment.jinc" +require "row_vector.jinc" +require "sample/mask.jinc" +require "sample/matrix_A.jinc" +require "sample/challenge.jinc" + +fn derive_seed_for_mask( + reg ptr u8[32] k, + reg ptr u8[32] randomness, + reg ptr u8[MESSAGE_REPRESENTATIVE_SIZE] message_representative, + #spill_to_mmx reg ptr u8[64] seed_for_mask +) -> reg ptr u8[64] { + stack u64[25] state; + + state = __keccak_init_ref1(state); + + state[u8 0:32] = #copy(k); + state[u8 32:32] = #copy(randomness); + state[u8 64:MESSAGE_REPRESENTATIVE_SIZE] = #copy(message_representative); + state[u8 128] ^= 0x1f; + state[u8 SHAKE256_RATE - 1] ^= 0x80; + + () = #spill(seed_for_mask); + state = _keccakf1600_ref1(state); + () = #unspill(seed_for_mask); + + seed_for_mask = #copy(state[u8 0:64]); + + return seed_for_mask; +} + +inline +fn sign_internal( + #secret stack u8[SIGNING_KEY_SIZE] signing_key, + reg u64 pointer_to_message, + reg u64 message_size, + #spill_to_mmx reg ptr u8[32] randomness +) -> stack u8[SIGNATURE_SIZE] { + stack u8[SIGNATURE_SIZE] signature_encoded; + + // parts of signing_key + reg ptr u8[SEED_FOR_MATRIX_A_SIZE] seed_for_matrix_A; + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s1; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] s2; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] t0; + + stack u32[ROWS_IN_MATRIX_A * COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] matrix_A; + stack u8[MESSAGE_REPRESENTATIVE_SIZE] message_representative; + + reg u16 domain_separator_for_mask; + stack u8[64] seed_for_mask; + + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] signer_response; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] hint; + + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] w0 w1; + stack u8[ENCODED_COMMITMENT_SIZE] commitment_encoded; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] w0_minus_cs2; + + stack u8[COMMITMENT_HASH_SIZE] commitment_hash; + + stack u32[COEFFICIENTS_IN_POLYNOMIAL] verifier_challenge; + + stack u8 exit_rejection_sampling_loop; + + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] mask; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] w; + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] mask_as_ntt; + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] cs1; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] cs2; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] ct0; + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] w0_minus_cs2_plus_ct0; + + reg u32 ones_in_hint; + stack u8 infinity_norm_check_result; + + () = #spill(randomness); + message_representative = derive_message_representative( + signing_key[64:MESSAGE_REPRESENTATIVE_SIZE], + pointer_to_message, + message_size); + + #declassify seed_for_matrix_A = signing_key[0:32]; + + _ = #init_msf(); + matrix_A = sample::matrix_A(seed_for_matrix_A); + () = #unspill(randomness); + + seed_for_mask = derive_seed_for_mask(signing_key[32:32], randomness, message_representative, seed_for_mask); + + s1 = s1::decode(signing_key[START_OF_S1_IN_ENCODED_SIGNING_KEY: S1_ENCODED_SIZE], s1); + s2 = s2::decode(signing_key[START_OF_S2_IN_ENCODED_SIGNING_KEY: S2_ENCODED_SIZE], s2); + t0 = t0::decode(t0, signing_key[START_OF_T0_IN_ENCODED_SIGNING_KEY: T0_ENCODED_SIZE]); + + s1 = row_vector::ntt(s1); + s2 = column_vector::ntt(s2); + t0 = column_vector::ntt(t0); + + domain_separator_for_mask = 0; + + exit_rejection_sampling_loop = 0; + + // WARNING WARNING WARNING + // + // The |#declassify|s in this loop body are only present to allow the + // constant-time checker to go over the whole code without erroring out and + // validate those parts whose constant-timedness can be established through + // type-checking alone. + // + // The security of this rejection sampling loop CANNOT be established through + // type-checking alone, and requires proving work in EasyCrypt. + while (exit_rejection_sampling_loop != 1) { + mask, domain_separator_for_mask = sample::mask(seed_for_mask, domain_separator_for_mask); + + mask_as_ntt = #copy(mask); + mask_as_ntt = row_vector::ntt(mask_as_ntt); + w = row_vector::multiply_with_matrix_A(matrix_A, mask_as_ntt); + w = column_vector::reduce32(w); + w = column_vector::invert_ntt_montgomery(w); + + w = column_vector::conditionally_add_modulus(w); + #declassify w0, w1 = column_vector::decompose(w); + + commitment_encoded = commitment::encode(w1); + + () = #spill(domain_separator_for_mask); + #declassify commitment_hash = derive_commitment_hash(message_representative, commitment_encoded); + + verifier_challenge = sample::challenge(verifier_challenge, commitment_hash); + () = #unspill(domain_separator_for_mask); + + verifier_challenge = polynomial::ntt(verifier_challenge); + + cs1 = row_vector::multiply_by_polynomial(s1, verifier_challenge); + cs1 = row_vector::invert_ntt_montgomery(cs1); + signer_response = row_vector::add(cs1, mask); + #declassify signer_response = row_vector::reduce32(signer_response); + #declassify infinity_norm_check_result = row_vector::check_infinity_norm(signer_response, (int) (GAMMA1 - BETA)); + + _ = #init_msf(); + + if(infinity_norm_check_result == 0) { + cs2 = column_vector::multiply_by_polynomial(s2, verifier_challenge); + cs2 = column_vector::invert_ntt_montgomery(cs2); + w0_minus_cs2 = column_vector::subtract(w0, cs2); + #declassify w0_minus_cs2 = column_vector::reduce32(w0_minus_cs2); + #declassify infinity_norm_check_result = column_vector::check_infinity_norm(w0_minus_cs2, (int) (GAMMA2 - BETA)); + + _ = #init_msf(); + + if(infinity_norm_check_result == 0) { + ct0 = column_vector::multiply_by_polynomial(t0, verifier_challenge); + ct0 = column_vector::invert_ntt_montgomery(ct0); + #declassify ct0 = column_vector::reduce32(ct0); + #declassify infinity_norm_check_result = column_vector::check_infinity_norm(ct0, GAMMA2); + + _ = #init_msf(); + if(infinity_norm_check_result == 0) { + w0_minus_cs2_plus_ct0 = column_vector::add(w0_minus_cs2, ct0); + + ones_in_hint, hint = column_vector::make_hint(w0_minus_cs2_plus_ct0, w1); + _ = #init_msf(); + if(ones_in_hint <= MAX_ONES_IN_HINT) { + exit_rejection_sampling_loop = 1; + } + } + } + } + } + + + signature_encoded = signature::encode(commitment_hash, signer_response, hint); + return signature_encoded; +} diff --git a/ref/ml_dsa_44/test/execute.jazz b/ref/ml_dsa_44/test/execute.jazz new file mode 100644 index 0000000..2a2759f --- /dev/null +++ b/ref/ml_dsa_44/test/execute.jazz @@ -0,0 +1,20 @@ +/* The correctness of the transformations applied by Jasmin when compiling code + * relies on the input code not having undefined behaviour. Running our implementation + * through the interpreter is a sanity-check: If we run the interpreter without + * crashing the program, at least for the inputs we've given it in "runner.jazz", + * the program is correct. + * + * Ideally, we'd want to run the implementation through a safety-checker, but this + * checker is outdated and takes an inordinate amount of time to run (on the order + * of several days). +*/ + +require "runner.jazz" + +exec test_consistency ( + 0x1000:1312, + 0x2000:2560, + 0x3000:2420, + 0x4000:64, // Message size + 0x5000:64 // Total randomness +) diff --git a/ref/ml_dsa_44/test/runner.jazz b/ref/ml_dsa_44/test/runner.jazz new file mode 100644 index 0000000..a05c044 --- /dev/null +++ b/ref/ml_dsa_44/test/runner.jazz @@ -0,0 +1,58 @@ +require "../ml_dsa.jazz" + +inline fn setup_memory() -> reg u64, reg u64, reg u64, reg u64, reg u64, reg u64 +{ + reg u64 verification_key signing_key signature message message_size randomness; + + inline int i; + + verification_key = 0x1000; + signing_key = 0x2000; + + signature = 0x3000; + + message = 0x4000; + message_size = 64; + + randomness = 0x5000; + + for i = 0 to 8 { + [randomness + 8 * i] = i; + [message + 8 * i] = i; + } + + return verification_key, signing_key, signature, message, message_size, randomness; +} + +fn test_consistency() -> reg bool { + reg u64 verification_key signing_key signature message message_size randomness; + verification_key, signing_key, signature, message, message_size, randomness = setup_memory(); + + reg u64 verify_result i; + + stack u8[32] keygen_randomness signing_randomness; + + i = 0; + while (i < 32) { + keygen_randomness[i] = (u8)[randomness + i]; + signing_randomness[i] = (u8)[randomness + i + 32]; + + i += 1; + } + + #[inline] + ml_dsa_65_keygen(verification_key, signing_key, keygen_randomness); + #[inline] + ml_dsa_65_sign(signature, signing_key, message, message_size, signing_randomness); + #[inline] + verify_result = ml_dsa_65_verify(verification_key, message, message_size, signature); + + reg bool result; + if (verify_result == 0) { + result = true; + } else { + result = false; + } + + return result; +} diff --git a/ref/ml_dsa_44/verify.jinc b/ref/ml_dsa_44/verify.jinc new file mode 100644 index 0000000..4cadb22 --- /dev/null +++ b/ref/ml_dsa_44/verify.jinc @@ -0,0 +1,162 @@ +require "hashing.jinc" +require "constants.jinc" +require "parameters.jinc" +require "encoding/signature.jinc" +require "encoding/t1.jinc" +require "encoding/commitment.jinc" +require "row_vector.jinc" +require "polynomial.jinc" +require "arithmetic/ntt.jinc" +require "sample/matrix_A.jinc" +require "sample/challenge.jinc" + +inline +fn compare_commitment_hashes(stack u8[COMMITMENT_HASH_SIZE] lhs rhs) -> reg u64 { + // TODO: Short circuit on failure + + reg u64 i; + reg u8 lhs_byte rhs_byte; + + reg u64 result; + + inline bool condition; + + reg u64 msf = #init_msf(); + + result = 0; + + i = 0; + while { condition = i < COMMITMENT_HASH_SIZE; } (condition) { + msf = #update_msf(condition, msf); + + lhs_byte = lhs[i]; + lhs_byte = #protect_8(lhs_byte, msf); + + rhs_byte = rhs[i]; + rhs_byte = #protect_8(rhs_byte, msf); + + condition = lhs_byte != rhs_byte; + if (condition) { + msf = #update_msf(condition, msf); + result |= (64u)-1; + } else { + msf = #update_msf(!condition, msf); + } + + i += 1; + } + + return result; +} + +inline +fn reconstruct_signer_commitment( + reg ptr u8[T1_ENCODED_SIZE] t1_encoded, + reg ptr u32[COEFFICIENTS_IN_POLYNOMIAL] challenge_as_ntt, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] A_times_signer_response, + reg ptr u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] hints +) -> stack ptr u8[ENCODED_COMMITMENT_SIZE] { + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] commitment; + stack u8[ENCODED_COMMITMENT_SIZE] commitment_encoded; + + stack u8[T1_POLYNOMIAL_ENCODED_SIZE] t1_element_encoded; + stack u32[COEFFICIENTS_IN_POLYNOMIAL] Az_element t1_element commitment_element hints_element c_times_t1; + + inline int i; + + for i = 0 to ROWS_IN_MATRIX_A { + Az_element = A_times_signer_response[i * COEFFICIENTS_IN_POLYNOMIAL: COEFFICIENTS_IN_POLYNOMIAL]; + + t1_element_encoded = t1_encoded[T1_POLYNOMIAL_ENCODED_SIZE * i: T1_POLYNOMIAL_ENCODED_SIZE]; + t1_element = t1::decode_polynomial(t1_element, t1_element_encoded); + + t1_element = polynomial::shift_coefficients_left(t1_element); + t1_element = polynomial::ntt(t1_element); + + c_times_t1 = polynomial::pointwise_montgomery_product(challenge_as_ntt, t1_element, c_times_t1); + + commitment_element = commitment[i * COEFFICIENTS_IN_POLYNOMIAL: COEFFICIENTS_IN_POLYNOMIAL]; + commitment_element = polynomial::subtract(Az_element, c_times_t1, commitment_element); + commitment_element = polynomial::reduce32(commitment_element); + commitment_element = polynomial::invert_ntt_montgomery(commitment_element); + commitment_element = polynomial::conditionally_add_modulus(commitment_element); + + hints_element = hints[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL]; + commitment_element = polynomial::use_hints(commitment_element, hints_element); + + commitment[i * COEFFICIENTS_IN_POLYNOMIAL : COEFFICIENTS_IN_POLYNOMIAL] = commitment_element; + } + + commitment_encoded = commitment::encode(commitment); + + return commitment_encoded; +} + +inline +fn verify_internal( + stack u8[VERIFICATION_KEY_SIZE] verification_key, + #spill_to_mmx reg u64 message message_size, + #spill_to_mmx reg ptr u8[SIGNATURE_SIZE] signature_encoded +) -> reg u64 { + // 0 indicates success, -1 indicates failure. + reg u64 result = -1; + + reg u8 signer_response_outside_bounds; + + stack u8[VERIFICATION_KEY_HASH_SIZE] verification_key_hash; + stack u8[COMMITMENT_HASH_SIZE] expected_commitment_hash; + stack u8[MESSAGE_REPRESENTATIVE_SIZE] message_representative; + + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] A_times_signer_response; + + stack u32[ROWS_IN_MATRIX_A * COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] matrix_A; + stack u32[COEFFICIENTS_IN_POLYNOMIAL] challenge; + stack u32[COLUMNS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] signer_response; + + stack u8[ENCODED_COMMITMENT_SIZE] reconstructed_signer_commitment; + + stack u32[ROWS_IN_MATRIX_A * COEFFICIENTS_IN_POLYNOMIAL] hints; + + signer_response = gamma1::decode(signature_encoded[COMMITMENT_HASH_SIZE: GAMMA1_ENCODED_SIZE], signer_response); + + #declassify signer_response_outside_bounds = row_vector::check_infinity_norm(signer_response, (int) (GAMMA1 - BETA)); + _ = #init_msf(); + if (signer_response_outside_bounds == 0) { + hints, result = signature::decode_hint(signature_encoded[signature::START_OF_HINT:HINT_ENCODED_SIZE], hints); + + if (result == 0) { + () = #spill(message, message_size); + + () = #spill(signature_encoded); + matrix_A = sample::matrix_A(verification_key[0:SEED_FOR_MATRIX_A_SIZE]); + + signer_response = row_vector::ntt(signer_response); + A_times_signer_response = row_vector::multiply_with_matrix_A(matrix_A, signer_response); + () = #unspill(signature_encoded); + + #declassify challenge = sample::challenge(challenge, signature_encoded[0:COMMITMENT_HASH_SIZE]); + challenge = polynomial::ntt(challenge); + + reconstructed_signer_commitment = reconstruct_signer_commitment( + verification_key[SEED_FOR_MATRIX_A_SIZE: T1_ENCODED_SIZE], + challenge, + A_times_signer_response, + hints); + + // Compute the expected commitment hash + verification_key_hash = hash_verification_key(verification_key, verification_key_hash); + () = #unspill(message, message_size); + + message_representative = derive_message_representative( + verification_key_hash, + message, + message_size); + + #declassify expected_commitment_hash = derive_commitment_hash(message_representative, reconstructed_signer_commitment); + + result = compare_commitment_hashes(expected_commitment_hash, signature_encoded[0:COMMITMENT_HASH_SIZE]); + } + } + + return result; +} diff --git a/ref/ml_dsa_65/arithmetic/rounding.jinc b/ref/ml_dsa_65/arithmetic/rounding.jinc index 1f186ed..693e148 100644 --- a/ref/ml_dsa_65/arithmetic/rounding.jinc +++ b/ref/ml_dsa_65/arithmetic/rounding.jinc @@ -26,43 +26,39 @@ namespace coefficient { // high bits = a0, low bits = a1 inline - fn decompose(reg u32 a) -> reg u32, reg u32 { - reg u64 a0; - reg u32 a0_32; - reg u32 a1; - reg u32 v; - reg u64 v64; + fn decompose(reg u32 r) -> reg u32, reg u32 { + reg u32 temp high_bits low_bits; // a1 = (a + 127) >> 7; - a1 = a; - a1 += 127; - a1 >>= 7; + high_bits = r; + high_bits += 127; + high_bits >>= 7; + + // a1 = (high_bits * 1025 + (1 << 21)) >> 22; + temp = high_bits; + high_bits <<= 10; + high_bits += temp; - // a1 = (a1*1025 + (1 << 21)) >> 22; - v = a1; - a1 <<= 10; - a1 += v; - a1 += (int) (1 << 21); - a1 >>= 22; + high_bits += 1 << 21; + high_bits >>= 22; // a1 &= 15; - a1 &= 15; + high_bits &= 15; // *a0 = a - a1*2*GAMMA2; - v64 = (64u) a1; - v64 *= 2 * MODULUS / 32; - a0 = (64u) a; - a0 -= v64; + temp = high_bits; + temp *= 2 * GAMMA2; + low_bits = r; + low_bits -= temp; // *a0 -= (((Q-1)/2 - *a0) >> 31) & Q; - v64 = (MODULUS - 1) / 2; - v64 -= a0; - v64 >>= 31; - v64 &= MODULUS; - a0 -= v64; - - a0_32 = (32u) a0; - return a0_32, a1; + temp = (MODULUS - 1) / 2; + temp -= low_bits; + temp >>s= 31; + temp &= MODULUS; + low_bits -= temp; + + return low_bits, high_bits; } fn make_hint(reg u32 a0, reg u32 a1, reg u64 msf) -> reg u32, #msf reg u64 { diff --git a/ref/ml_dsa_65/hashing.jinc b/ref/ml_dsa_65/hashing.jinc index 621d77e..a295751 100644 --- a/ref/ml_dsa_65/hashing.jinc +++ b/ref/ml_dsa_65/hashing.jinc @@ -141,7 +141,7 @@ fn derive_message_representative( inline fn derive_commitment_hash( - reg ptr u8[64] message_representative_size, + reg ptr u8[64] message_representative, #spill_to_mmx reg ptr u8[ENCODED_COMMITMENT_SIZE] encoded_commitment ) -> stack u8[COMMITMENT_HASH_SIZE] { @@ -154,9 +154,9 @@ fn derive_commitment_hash( state = __keccak_init_ref1(state); state_offset = 0; - // Absorb message_representative_size + // Absorb message_representative while (state_offset < MESSAGE_REPRESENTATIVE_SIZE) { - byte = message_representative_size[state_offset]; + byte = message_representative[state_offset]; state[u8 state_offset] = byte; state_offset += 1; } diff --git a/ref/ml_dsa_65/sign.jinc b/ref/ml_dsa_65/sign.jinc index a1808a0..3e6397b 100644 --- a/ref/ml_dsa_65/sign.jinc +++ b/ref/ml_dsa_65/sign.jinc @@ -84,7 +84,7 @@ fn sign_internal( () = #spill(randomness); message_representative = derive_message_representative( - signing_key[64:MESSAGE_REPRESENTATIVE_SIZE], + signing_key[64:VERIFICATION_KEY_HASH_SIZE], pointer_to_message, message_size); diff --git a/tests/conftest.py b/tests/conftest.py index dbaa154..cc25c14 100644 --- a/tests/conftest.py +++ b/tests/conftest.py @@ -3,6 +3,26 @@ import ml_dsa_wrapper -@pytest.fixture(params=[("ref", "65")], scope="module") +def pytest_addoption(parser): + parser.addoption( + "--parameter-set", + action="store", + default="65", + help="ML-DSA parameter set: 44 or 65 or 87", + choices=("44", "65", "87"), + ) + parser.addoption( + "--implementation-type", + action="store", + default="ref", + help="Implementation type: ref or avx2", + choices=("ref", "avx2"), + ) + + +@pytest.fixture(scope="module") def ml_dsa(request): - return ml_dsa_wrapper.ML_DSA(request.param[0], request.param[1]) + return ml_dsa_wrapper.ML_DSA( + request.config.getoption("--parameter-set"), + request.config.getoption("--implementation-type"), + ) diff --git a/tests/ml_dsa_wrapper.py b/tests/ml_dsa_wrapper.py index f0bfc33..947d631 100644 --- a/tests/ml_dsa_wrapper.py +++ b/tests/ml_dsa_wrapper.py @@ -3,9 +3,13 @@ class ML_DSA: - def __init__(self, implementation_type, parameter_set): + def __init__(self, parameter_set, implementation_type): # TODO: Get these parameters directly from the source code. - if parameter_set == "65": + if parameter_set == "44": + self.verification_key_size = 1312 + self.signing_key_size = 2560 + self.signature_size = 2420 + elif parameter_set == "65": self.verification_key_size = 1952 self.signing_key_size = 4032 self.signature_size = 3309 @@ -29,9 +33,14 @@ def generate_keypair(self, randomness): verification_key = ctypes.create_string_buffer(self.verification_key_size) signing_key = ctypes.create_string_buffer(self.signing_key_size) - self.ml_dsa.ml_dsa_65_keygen( - verification_key, signing_key, self.bytearray_to_ctype(randomness) - ) + if self.parameter_set == "44": + self.ml_dsa.ml_dsa_44_keygen( + verification_key, signing_key, self.bytearray_to_ctype(randomness) + ) + elif self.parameter_set == "65": + self.ml_dsa.ml_dsa_65_keygen( + verification_key, signing_key, self.bytearray_to_ctype(randomness) + ) return (verification_key, signing_key) @@ -39,13 +48,22 @@ def sign(self, signing_key, message, randomness): assert len(randomness) == 32 signature = ctypes.create_string_buffer(self.signature_size) - self.ml_dsa.ml_dsa_65_sign( - signature, - signing_key, - self.bytearray_to_ctype(message), - len(message), - self.bytearray_to_ctype(randomness), - ) + if self.parameter_set == "44": + self.ml_dsa.ml_dsa_44_sign( + signature, + signing_key, + self.bytearray_to_ctype(message), + len(message), + self.bytearray_to_ctype(randomness), + ) + elif self.parameter_set == "65": + self.ml_dsa.ml_dsa_65_sign( + signature, + signing_key, + self.bytearray_to_ctype(message), + len(message), + self.bytearray_to_ctype(randomness), + ) return signature diff --git a/tests/nist_drbg/ml_dsa_44.json b/tests/nist_drbg/ml_dsa_44.json new file mode 100644 index 0000000..cb9604b --- /dev/null +++ b/tests/nist_drbg/ml_dsa_44.json @@ -0,0 +1,8002 @@ +[ + { + "key_generation_seed": "7c9935a0b07694aa0c6d10e4db6b1add2fd81a25ccb148032dcd739936737f2d", + "sha3_256_hash_of_verification_key": "42e51c8ab5de8df35bd209e57656e1e83f41a6c90fa10bc71b95c4f4f2c70a2c", + "sha3_256_hash_of_signing_key": "af98fdf9fd9bcf1f44c424a15c54a0dd26073f26bfdb32c19c8cbbcdc3c548ba", + "message": "d81c4d8d734fcbfbeade3d3f8a039faa2a2c9957e835ad55b22e75bf57bb556ac8", + "signing_randomness": "8626ed79d451140800e03b59b956f8210e556067407d13dc90fa9e8b872bfb8f", + "sha3_256_hash_of_signature": "e50bfc6f185ce042313ce4eeb98c3c8fa62c3ddd18917997a104dea224186a3a" + }, + { + "key_generation_seed": "4b622de1350119c45a9f2e2ef3dc5df50a759d138cdfbd64c81cc7cc2f513345", + "sha3_256_hash_of_verification_key": "3f8259e55ddf984d721052c391a81ba3cba1e3d9637fb5f07152fd2d1c25f21f", + "sha3_256_hash_of_signing_key": "7984ce89b5045ad4b37360bb73183c695f3a559147a28da5a76034c27fedf652", + "message": "225d5ce2ceac61930a07503fb59f7c2f936a3e075481da3ca299a80f8c5df9223a073e7b90e02ebf98ca2227eba38c1ab2568209e46dba961869c6f83983b17dcd49", + "signing_randomness": "e82fcc97ca60ccb27bf6938c975658aeb8b4d37cffbde25d97e561f36c219ade", + "sha3_256_hash_of_signature": "7902f301c1f1a3be2f7212b6c84f8a7105e1642863ae24406edcf494960b1d6a" + }, + { + "key_generation_seed": "1d836e889e46259bcd1ccd2b369583c5b47cfbb919ec2b72c280247cb15a5569", + "sha3_256_hash_of_verification_key": "e7d48befd495681a943bee8f4e5f6b49e1be9b5f13b578df60dee00e84e25361", + "sha3_256_hash_of_signing_key": "364b20d3f76bd412f7ec6af4f0d360cba1662d249e91574d457c9d1111749727", + "message": "2b8c4b0f29363eaee469a7e33524538aa066ae98980eaa19d1f10593203da2143b9e9e1973f7ff0e6c6aaa3c0b900e50d003412efe96deece3046d8c46bc7709228789775abdf56aed6416c90033780cb7a4984815da1b14660dcf34aa34bf82cebbcf", + "signing_randomness": "f333d36590910e7a5a6cbe567bcdd154137eef62b92bf8dc1fdc900e7c194e5f", + "sha3_256_hash_of_signature": "6fc43168ded663eb41778b787dd76a875302e42e05b4c65a74bb6f89436467d7" + }, + { + "key_generation_seed": "539577cb7f2088fbedff1b53f235d607321857db32bba645f8df3a89dd426552", + "sha3_256_hash_of_verification_key": "bf4293953a8947a34ea53107c397d783449c1b2997ba1a93c3518626479a104b", + "sha3_256_hash_of_signing_key": "12e6e576e0095b0b04206aafa1af2d136d4cb4d576973e970646c23b6032efe8", + "message": "2f7af5b52a046471efcd720c9384919be05a61cde8e8b01251c5ab885e820fd36ed9ff6fdf45783ec81a86728cbb74b426adff96123c08fac2bc6c58a9c0dd71761292262c65f20df47751f0831770a6bb7b3760bb7f5efffb6e11ac35f353a6f24400b80b287834e92c9cf0d3c949d6dca31b0b94e0e3312e8bd02174b170c2ca9355fe", + "signing_randomness": "f52a43f5358999ddbe311866dedcf629fbd5ae94919abde9fdebdaf93bb0c847", + "sha3_256_hash_of_signature": "51b56173b1c32c972a1b4a82161341f7127ddccd266df562e2429714ae267938" + }, + { + "key_generation_seed": "2ca59c6cf33c53803749f69ef5abfa9482fcee7efd87fbf17135ecc3ff3fd7f7", + "sha3_256_hash_of_verification_key": "fd89760f974478a48349b3bbba85375786559437cfff806773deffc01d4d2bb8", + "sha3_256_hash_of_signing_key": "4bf0a05d40b6580a32dc09e3b852aba2b55789644d37c26b7fba0fb1b8efd555", + "message": "1cdf0ae1124780a8ff00318f779a3b86b3504d059ca7ab3fe4d6eae9fd46428d1dabb704c0735a8fe8708f409741017b723d9a304e54fdc5789a7b0748c2464b7308ac9665115644c569ae253d5205751342574c03346dddc1950a6273546616b96d0c5ece0a044af0edefbe445f9ae37da5afb8d22a56d9fd1801425a0a276f48431d7af039521e549551481391fe5f4ebfb7644d9f9782d83a95137e84ea3aeb3c2f8099", + "signing_randomness": "a685acf5e2640f2d085efd1c9cebe815e042482a79694c32e28e97fad3bef590", + "sha3_256_hash_of_signature": "2da345196311cac635d4bab01c5debaa9800d4e7cbf05ab12f3b0220cca3ab2c" + }, + { + "key_generation_seed": "e17e72290e49a44c9c534f211195257cf13b0d45405782ceda2d7f982a551721", + "sha3_256_hash_of_verification_key": "2e4a755846f0fa861761e1a9df18901593b4919a7855d61638fa25756ab42375", + "sha3_256_hash_of_signing_key": "04ccfe2dfef4dff93fd9e8a399670522ac6494e6d02dd2857034bda0cb931c42", + "message": 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+ "signing_randomness": "2a458c891d76f412a84c17e4896e42f2afd9f1b1daacbfe1d43beea8acc7c655", + "sha3_256_hash_of_signature": "7ee7456ddce2076765672a93d82d7aa5364f06645dd19cefca8a5fb649405ff5" + }, + { + "key_generation_seed": "b2f84d011e47e0e4a16e0dd5b86e9844b3688feb9d49db2b9e6b5decad9edd03", + "sha3_256_hash_of_verification_key": "7a6cb2c6995a9e8b122c1ff1794b69e3a2a23ee40387dad92f74a9f582c8b528", + "sha3_256_hash_of_signing_key": "d0e0daadd896b7273571066f345c6c779db2e6e0c53112dd856841c539b257f5", + "message": 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+ "signing_randomness": "11359d5dcdb4985797dc67628b9a8f874997c85e46598b7c1b1d828348d56f5b", + "sha3_256_hash_of_signature": "9166a89ce04452e35a81cba51152f70e554c6e98bc5dc260295f1e02112038d2" + }, + { + "key_generation_seed": "2143c6f89a7004916ff6e9c8fc03470d047eb4b0eadf0b4ed2c9677bf1c673b1", + "sha3_256_hash_of_verification_key": "438c06693945edd61fa8aaed714fd05b8d0161735e5ad312863ca6527f354262", + "sha3_256_hash_of_signing_key": "198c76bd8c8ff017ffad54c7369eafe98d3d9ed6d84625c7b5dcd3713327788f", + "message": 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+ "signing_randomness": "c955e74eab42a9d6aee85d2b6d079330f7a37731c1914369b18e11c05b2b5ddb", + "sha3_256_hash_of_signature": "9e102f1394c5f531e3f4532a4d49c033aaaeda02d7a8a1decb5ea140fa83c643" + }, + { + "key_generation_seed": "d01215b419f82770f77ce975b2ab578c30ea54edb71559087461e06fb8e67706", + "sha3_256_hash_of_verification_key": "222a14fce24c46a808a36311589a427e0aed0d1f1b3ad9add5de77442e404d46", + "sha3_256_hash_of_signing_key": "095de664e92650fc8526e93ac3215dd14f20fd1af149bd06e003aff04be6333b", + "message": 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+ "signing_randomness": "9f15b34d60822462ec9d0aeb534172e0982f6821c72881e69f4c5efffb41f8b8", + "sha3_256_hash_of_signature": "a11f092ae33d2614066ddc873604d9290a55141a2e2ca52e9c018200db358ebf" + }, + { + "key_generation_seed": "97e0417ccc06d4e4352b47905c09d010e9018e5022f5b5e89c9cb4dcd3be59f6", + "sha3_256_hash_of_verification_key": "6b174b2e60df4007b25a804c685d219852498b6a64783087b6978fd391051237", + "sha3_256_hash_of_signing_key": "6bcd456cd5eb6c37332acd5c61f7e67e6fa80bf8a417ff542c3613247bb48d92", + "message": 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+ "signing_randomness": "050d5f5d208be02a4fa5c6a9f9d20588f60acf297972682e0a7700298fec1f86", + "sha3_256_hash_of_signature": "c00c12ac36ffafba3dbca5cbfc5c3a860b59d9cc131d57d2b26439e77b691369" + }, + { + "key_generation_seed": "b03d136396bcc0f44bcaf8952643891fb27a11fd4ab182828a7acc56304afbc9", + "sha3_256_hash_of_verification_key": "adab75abaa0c6ebb5bcae38637b0918bf8c9e2c5d2584cb94e16a7ccfe96d247", + "sha3_256_hash_of_signing_key": "287ea8650731ecfc4be4c61a1d74cf88bc23c211af4a344c9242fb248665c4da", + "message": 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+ "signing_randomness": "7cc259e29cd3749a42d8ff3e2dc69c19e823841fb1181e16b9146264fcce9897", + "sha3_256_hash_of_signature": "3406294b1b8258b90839ae0c4d270a84416811dd91c1c1266a0ceed370df244d" + }, + { + "key_generation_seed": "c861769225c0e09e3d44f2bf8c733d21a91b27137f719f29e4c739e93708e3d4", + "sha3_256_hash_of_verification_key": "2b32054bd2de221c69417a60081d7cb6e00eeda658130ecf196f0f7bb3eba0c2", + "sha3_256_hash_of_signing_key": "442230eac3f2736f670212ec61f6cf11d025da33602e5201f13d2496421e63ba", + "message": 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+ "signing_randomness": "869a83fe272eb843eba34c5088142a389212c87f66fd6eabac97f94e5046f480", + "sha3_256_hash_of_signature": "8bfc9c99b37647b06b716f858b357b1c11e405eb02cd4114025be6b6a0581877" + }, + { + "key_generation_seed": "1841dbe608a524958b83bf0eb244c74c7d10e3d6b649e8fdeb23c0ade45034c1", + "sha3_256_hash_of_verification_key": "8c1b64dc47a32075a2dacb7728424431e0f03c41e27307daa32ecc20aa23f597", + "sha3_256_hash_of_signing_key": "b5af602a77392f119d1c78eabacf7d4da44452a5567359e803aa6bb49391aeea", + "message": 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+ "signing_randomness": "bdb03bfb4267a228f97c486a68ce66ee6f46c8f5bec341532ce12b19ce8e7816", + "sha3_256_hash_of_signature": "468e66b42dbf762bbb5ea89b4a55901cd82cd6ff50f4d9f5b6b90bf141f589fc" + }, + { + "key_generation_seed": "20c9c80b6388c5e9f9243ea94d55c42f01bb99d53c4c0eabfc3082dac2ce61e8", + "sha3_256_hash_of_verification_key": "ba214cee859c9b901cfdf79920944f8f435704c040fef2eb329a3ab1eea6e120", + "sha3_256_hash_of_signing_key": "d7036892d0ffff84d3cceda53b18d3c38f7092816bbe06d282f9213277588f9e", + "message": 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+ "signing_randomness": "3c31ccae1f763d98d7c9227b70a4130e075b553f6b2fdb781bdee1d86dc52de9", + "sha3_256_hash_of_signature": "29b912ab0187a0c359c2faddcb5001de2145df3c02537014218ef891d22b620c" + }, + { + "key_generation_seed": "dcb65672441942c99be01aa200b8a9357de796c55c4d17d75d5e7422076f5bdd", + "sha3_256_hash_of_verification_key": "c933c8fe2ad186f006e4911d7ed9eff7756718c034c754ceaa96508efa8ac3f5", + "sha3_256_hash_of_signing_key": "e2b3edda78106129d80614ff0366d479e5a6f26cde69731ba8d15784020236c1", + "message": 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+ "signing_randomness": "6561eac8a1bff1b6cd729cce1c74c9840028d42257d6e136c8478515413d9a51", + "sha3_256_hash_of_signature": "d098d24cdbf31ad333a6c046fdbb968e5d3ec22c0937d1a07e411f4cc5f3ce9d" + }, + { + "key_generation_seed": "ca5e6c76c00e00dfd1f3274a66b64067162f66f5bb9d207a447cde731789b4b2", + "sha3_256_hash_of_verification_key": "4c162b89883ab64f26be0ec79cbd9d827fdc648da39dcb5e211b522c381c0ea6", + "sha3_256_hash_of_signing_key": "6d0708cb91ea2b2f98c74e63d93c2ab2e8072186dda73802cf061013931449dd", + "message": 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+ "signing_randomness": "f33ab000667e7fe01e07648346cc38d9ea2453bca58da277b9a0a1a2674f8f0a", + "sha3_256_hash_of_signature": "1c0ee3c62ddc020d23b03c82edd4b0011c0e7dcf190cf8e9e7f61257c5c62ac0" + }, + { + "key_generation_seed": "c5bfd3696a7ade644eb0b5b1ee096075bce49370db2ed7cef059cdc24ec2091c", + "sha3_256_hash_of_verification_key": "510637d5b110707426ebddfa68f3f993d113030ce958ffcfeea88e430481152b", + "sha3_256_hash_of_signing_key": "c03bb819a0a1e21f6eb37e37a7ba41dea867bc5366cbc7ae9e1b5c6db2376ef1", + "message": 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+ "signing_randomness": "d62f03ea10183b7ead171b53df182001f0e66c9ac5a524b938193b9f7335d90b", + "sha3_256_hash_of_signature": "16e79d7eac722ffa9d2a08cdaa2223e5c41a8e54df2f161b6b41f08aff19efa4" + }, + { + "key_generation_seed": "773786736cabe05471289e6380994d9fd76550c4c1bdd40c1021e7495675f305", + "sha3_256_hash_of_verification_key": "0113ecf767a493e635d1bf37f2c854b1f58a802f4414038b85dd1ac068e61344", + "sha3_256_hash_of_signing_key": "b0e173b3b6aa4fcc4c93d0226322799ff0bdccef0650782ba46d1154fc1d37a4", + "message": 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+ "signing_randomness": "9bdf6f624f9b96fbf5a2b368538eab7eb85854915d00bc6881dddb3352a3134f", + "sha3_256_hash_of_signature": "1ccde767edbb287fcb0c79125983256a55c54a2e2a43973d75a72d570383c71f" + }, + { + "key_generation_seed": "c56343a793dc8a4767737ef1403881f33d67efa296736c579b2656ff76f3b308", + "sha3_256_hash_of_verification_key": "d1a889d0d79732d3f75159085f57c97d3f2cfa2440c47da4850c541165197e95", + "sha3_256_hash_of_signing_key": "dd94009da8a05c0457a89d8c2baa387a15645a85565be8027475ba683f3c43c8", + "message": 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+ "signing_randomness": "b05a0ac0a485d659f75bee012f7fc7cd591bc1a6b6b0b8f3ebe62f82e36345a5", + "sha3_256_hash_of_signature": "f86273551a325716b2ced70de8d7fda5f57d4b3febe8bea8cbb8a467d710d3d0" + }, + { + "key_generation_seed": "9dfd2890cf06a4eef2c703bcefeb4ffda00185384c9828e6b0927730225062ea", + "sha3_256_hash_of_verification_key": "d651f39c23daa471ba8fdc46bbde184661b21d68879fbbba18ecf12649763172", + "sha3_256_hash_of_signing_key": "4d75a5e1d3cd52e00bd5f95e9b632a3d644ce0ab2734a6f3b401cad643baa325", + "message": 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+ "signing_randomness": "d4a987843b4094cfeebc9efea13fc45474f4b96dba9cdba4648b6e6293f6ee35", + "sha3_256_hash_of_signature": "4a3e3773f69e6ddb1c6fcd7e5fc77eb3fbc7cf0be11ddadab38cc05955e85ca9" + }, + { + "key_generation_seed": "0af50edb678c6b7803dc2b61ecc71a497ee322ac24020d5dc11433531b6389cb", + "sha3_256_hash_of_verification_key": "95c2f2b9f95677402b32b0b9e0d9e6823d04c04342e06cbde8a6c7225f76a853", + "sha3_256_hash_of_signing_key": "ef13c59f449e64e3774c0f7dafd73e6beba01d46004a7bfbb873ad77ca56b61d", + "message": 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+ "signing_randomness": "de2dad46b1344d311e2b305a15a542585c33df23c10d1d60eb49f3a7c6075c10", + "sha3_256_hash_of_signature": "8cb59fbaa1c97f67503413a20447ce54675d812079df3c1b7eb698a6a1731476" + }, + { + "key_generation_seed": "dce5694fdc3d0d80b9c6b69b4211fd044b9ed8d1b4df8c90b00f6f3f80a359b2", + "sha3_256_hash_of_verification_key": "edc0b9db470a8d191be6b1ea2b324871898870d215b61aee4b85f7967f55b507", + "sha3_256_hash_of_signing_key": "4b1c42ae7337709c27ccdf975eca21df17a588d20b25ff98dd83ce0626e40c6c", + "message": 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+ "signing_randomness": "1637c364793fd1da0a976826b39a0be85a85322d4a8e3beb5543c6627fb23fa6", + "sha3_256_hash_of_signature": "c0836c953dd7ff71afb38c7affb7394c30006fe9fdc84e0500d5deeb07e686c7" + }, + { + "key_generation_seed": "dfc45516348e5569ecbda9bb46e7d1ff32682f443f583be190a9b467be60a28c", + "sha3_256_hash_of_verification_key": "7cd0655e3f99c91b023a9d90f3ba5629540ec1fa33ee172f6dd248aa67f2bfd9", + "sha3_256_hash_of_signing_key": "ca59307fa37b6374e5d182eec68f0c1f084a436f733a4234008a6a94d45162ab", + "message": 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+ "signing_randomness": "4478a92ae1a78461dd8d760282d1cc97bfb3d2c6565bf3ddcd69ff0d23433e88", + "sha3_256_hash_of_signature": "d5675ffd2b364674565652adb6863a5fb9dc8759d82e2d4409a5bbfaa1371280" + }, + { + "key_generation_seed": "d5e6d768a6f4177600ee0d039d550cf380659107f826837f8356385f63d660f1", + "sha3_256_hash_of_verification_key": "d8cb82df9ac30db81853c81cc7d8ec4150f869e3cb2ef8ff140be47d0a29b704", + "sha3_256_hash_of_signing_key": "74294044ba474c095486e25723f3df515d03d3ce4d66a4eb23560658794d73ef", + "message": 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+ "signing_randomness": "60feba4013aac3e4aad9c51f6e841a50204cffda473546dd4b5b7788db05b171", + "sha3_256_hash_of_signature": "409f42d2c1e92b94dbd388334246cd27608f0680f37a1402149c39c46eff31c5" + }, + { + "key_generation_seed": "b2ca80c1003fb835c3e2ddc506fdc305e437d561e0aadfede2217a491629e7a6", + "sha3_256_hash_of_verification_key": "3a35385ec78482e96959c68a81397e804fa076bdf5bd2d4fa6e74b8443b25d02", + "sha3_256_hash_of_signing_key": "b78e48c7657f4f8d3bf4c7d86c3005c917e72ac811987e2b35e70ebbcab813ef", + "message": 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+ "signing_randomness": "3438d7b9abca8495808c511b8209ad8e5d1c005939e28200945f282cb5e2d83c", + "sha3_256_hash_of_signature": "e967a903698f26cb813517a3f9ad002aa9722ea5593685c129fba3b9d977a9e0" + }, + { + "key_generation_seed": "8bf667311bb44a84e2f1e8acf88b6a1a919eb3a4f383cfcff9fc21fffdd12dbd", + "sha3_256_hash_of_verification_key": "621222bb21ffed3f86fa2325f25e0c4417abf2c8c7fb8e89794c00ac7617a870", + "sha3_256_hash_of_signing_key": "32278d9b3995984f55a19450cea518e33fb976b74bf481d5b50bcfa64d26abd0", + "message": 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+ "signing_randomness": "2e21ec19f552d618f5260d06472f1322bdba226f70ca582807f5ceaebba0af04", + "sha3_256_hash_of_signature": "be689d7c2ca2b5b01d67c8d51a8d8728b2f151976933d19d5a37b48f673ede71" + }, + { + "key_generation_seed": "e51bc09a15e88e37e7e04a7173edab4931721f337288af6ddf21b882720b7f3c", + "sha3_256_hash_of_verification_key": "2ccc68dee9eab00e7fb86d9e00f81412961edd150b153e04eeb7c487210f6ddf", + "sha3_256_hash_of_signing_key": "2dffba6998e35c914967b65d05c9dc6005940d96784b3095593fdab39fe59b71", + "message": 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+ "signing_randomness": "780d3b730ade75fa33f0f45dfd1575413fc89cb049726698c8137f78e920a980", + "sha3_256_hash_of_signature": "c5d5c66d38c01244bc954b3164e57ce01caa01dec5a367227819286fb3434695" + }, + { + "key_generation_seed": "ad33a8771cdff009e03c8e88cad374ce6df06b930203d83d6215bfe117b30e51", + "sha3_256_hash_of_verification_key": "64fbb6d347c9514213c7e557c58691a09b93e15807b8eabc5c93f321f7d038d4", + "sha3_256_hash_of_signing_key": "76728ca370eb00bcf75e83f0efb8971db6d9bb7568e62d44b396e3605934eb6e", + "message": 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+ "signing_randomness": "412ba3dfa87818c9abe7da43bdb55c01f4d9797816c4e4aed5531b2aa1124c04", + "sha3_256_hash_of_signature": "7b9a8ea909fc6e5f94b2800ed51f30d157b72453312c4ff43e9d13745c0d749f" + }, + { + "key_generation_seed": "487152e8253dbf70f03b2c3ed065b892ba2dcd9a43647737d2193e29674325b2", + "sha3_256_hash_of_verification_key": "b174d789b0ab63dad2576ab6e43188f9298db8acbff91cccb3292010dfd2ecdc", + "sha3_256_hash_of_signing_key": "d98285fd128374b53186a926181e5db858736ea9f00a2a59a5a83987a0842f80", + "message": 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+ "signing_randomness": "bc0af01fbc59c5a1b1b5d966a66e33be909b35a4ffc593660231912f2fb655eb", + "sha3_256_hash_of_signature": "88f7a79b1b13ed7b8b541c0c07236aab4e322dfd3f91c30b667a685fcaa97d9b" + }, + { + "key_generation_seed": "851ec14e72d9135eced028f2c4df89d628b0123a437661940d1343867ee92274", + "sha3_256_hash_of_verification_key": "c98097e642590125bbfa5edf1ae5699b5a069bbb4e817b4bbdd8b6f13f3ccaee", + "sha3_256_hash_of_signing_key": "24ce7651905e51c6366d64d00c665dbe1877581edc59acf96fb5901168b32936", + "message": 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+ "signing_randomness": "2fa6dafca4d711abe088283d8b4916e7ccc887b4d53d7dbf5712c790cb9fff81", + "sha3_256_hash_of_signature": "3ec98e44baef330ca9896e3b9fdcd1b6b3cbc2f15a3f17e9931d8e23ce857cb2" + }, + { + "key_generation_seed": "020fc0766e71527a68bf7b2518fc93a17f8ab203fd2c811ffb9c0ac3e53c4b89", + "sha3_256_hash_of_verification_key": "5e111fc819fd64d382414e37d73c005848da7b359b8eb344ba653006a949e127", + "sha3_256_hash_of_signing_key": "5e5ded13f889f29091366df162d88ac49f0f5f22e5f581608e839c8bd9adefb8", + "message": 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+ "signing_randomness": "dad898c09155d8a5c31ffcd85faa353287df13ce5900c486a6aba9e3f950c32a", + "sha3_256_hash_of_signature": "8f2a5c48174f7ad7f0449deb4f6333af76281832e8d8b1d9f518a5fd59d67e03" + }, + { + "key_generation_seed": "87c4212b58ebcb23fc7fb898306a62dd143e160cac18de9fd192ad3467d0553b", + "sha3_256_hash_of_verification_key": "797ddd835394b64162a1c3c7f665903442abfa66bcd4ebfbbc5b025d49d0a9b9", + "sha3_256_hash_of_signing_key": "58d303fc4999795c406d30c1753d1c9c97d0d532bca986c55349853e064ab6d1", + "message": 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+ "signing_randomness": "b0e7aab94c33ea6714f8e0c9054465baeac86458068cdab5dec55da150885063", + "sha3_256_hash_of_signature": "eb13c0af88a99a9c8479aeae4c8467313a174c85bc7f0b956f7d5c8d8b6f9cee" + }, + { + "key_generation_seed": "f82204559763f32b10a15b9720e0ba92e9b8abb79b980ece36c61171806cce7a", + "sha3_256_hash_of_verification_key": "d50e6279e0a35a9969a93cf8ed6c147a9d6789cc7b1501226c56752b79faa82c", + "sha3_256_hash_of_signing_key": "335e53175038e96be96fc2fe0fa7d8abc1370a41be5db2339566d3d58e56ee3a", + "message": 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+ "signing_randomness": "497fece1b2e0bdbe2a734f93b48c8fedc670fa899d5d8dc73bcb56bde6cab85c", + "sha3_256_hash_of_signature": "fc930ba436eca54fdab603cd88350b18172bd595a266d8857e151cf3bcbfdf35" + }, + { + "key_generation_seed": "d560233135342d05fad3ff3e1d0094e083cb5fa18d5c97cb6f711dbb10615479", + "sha3_256_hash_of_verification_key": "7d23d3391210ede24b13fca4ddaeda553c6b76f3ef77bc777778de40a6bda6af", + "sha3_256_hash_of_signing_key": "5b56030468ddd0f73120ffed39329418264318e35fc8594d7e9d16fff2785c46", + "message": 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+ "signing_randomness": "403871bb6946268b381636f95d46e52d71f13f723013328293943a1d38f4429c", + "sha3_256_hash_of_signature": "94f0629eb54ee1464997a8cdb88251ebd735b20185a0ff1696e934d83665d125" + }, + { + "key_generation_seed": "b53e240fbb33199088c48737e14b4acb680941a1bcf32ed477335d6c58511d6c", + "sha3_256_hash_of_verification_key": "2b0fc48de090d343ef678d96546109a0eb3715480e195f1921d3359802178848", + "sha3_256_hash_of_signing_key": "0d5f90217101fb5e10b50a49180a3be4cadcb02056ad8fbefd7b82b158ad7d19", + "message": 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+ "signing_randomness": "a7eb16a73973cba3d708f2826e716d24beb5f8bd951b9cf49d1299e2d864c066", + "sha3_256_hash_of_signature": "5a591965f4a8427b64e1cfd81b5f2db7d724e23dac6f40b0f5c90b209851788d" + }, + { + "key_generation_seed": "92597531fccf5ebf1bfbc9ba4bc62dad30e23a6ddfb5cc7c9a89dfd090e9016b", + "sha3_256_hash_of_verification_key": "ef70f3f6afe60f9ed604ee4fd46ce5e3abd3f338c4559358913cb9c820e1ee36", + "sha3_256_hash_of_signing_key": "99dd2a54510e8046108483b438eaac00761876021abe348d9eb86e1e9b01c130", + "message": 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+ "signing_randomness": "583cef321aea7bb564e860454d2368bcf4d90f9480027d1db68b92769a0dc567", + "sha3_256_hash_of_signature": "09a7a7d2e542cb57647fcdc91aaa2a7a6ba104c2060532c9394ca5fcc2eab3cd" + }, + { + "key_generation_seed": "4dbc1870ece62ecea3715227aba0ed607887011edf74a924ef068e55f7f75da8", + "sha3_256_hash_of_verification_key": "1702f1647416c61b2711a5aa3ccd31950cef89f5c5d3f3ba28edbf6c7dc3f13c", + "sha3_256_hash_of_signing_key": "a135c46e466ae17d0b70a493b773a29cd5eecec78afb895f3665fbde3866284c", + "message": 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+ "signing_randomness": "a1d5982ae18da4e9eff00f2a9977e76b54c277885bca6fe50c5eee063216e33a", + "sha3_256_hash_of_signature": "7d8d32a5cd39165364784d34fdff8b055460a1bff5592044bba20c7a0ff31735" + }, + { + "key_generation_seed": "67f4a09b9fa6632cb259706219dff049eeff5adf88c0bc2b61af142edd981e5c", + "sha3_256_hash_of_verification_key": "cb8f873190cd521455ddd4612e6367a7b3821167cc3e93ced2c91becc02e09d2", + "sha3_256_hash_of_signing_key": "a91de22d830912196610918205a23650451f084f4b782e9d028a31ed5d91d157", + "message": 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+ "signing_randomness": "000e63936cf73ce0b0530475cbe661c42bd7f4cc9fbb903beb5ba0420bba92aa", + "sha3_256_hash_of_signature": "a9319dbf35575ba5f7c46a07b9854fc931b44097fb66308b41a5759efcf12750" + }, + { + "key_generation_seed": "c8d10469bb099c9a84038d2a28b57e3fc9608237591918f4be944ab0bd688834", + "sha3_256_hash_of_verification_key": "3c00f9e0a384c07b29a3a7ac69a62a5a389bb7151bf96ed8745ef84070742733", + "sha3_256_hash_of_signing_key": "36a1ba94536b4c8718bde54aa70363cea0d82b7593667f2652588e924db13fcd", + "message": 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+ "signing_randomness": "7bbac8a183c7ff6dd193c7ca719e97cff38970656c8f7941bc8c9e52a2850a19", + "sha3_256_hash_of_signature": "abe616159c6ab57abbc5b34be78a6ce2d5c03f62e0943d810e34483d869575f7" + }, + { + "key_generation_seed": "b8a4e682f21dc4203830dda73a746f9f1b03fc8bb923dd410d76738007e699de", + "sha3_256_hash_of_verification_key": "7b2815b84b6504f003d2c3df234a43b816d403b51a156dd20e643df427f69a69", + "sha3_256_hash_of_signing_key": "db5546469e7983a3818eb0d3758580d76c5d6ba64a61716845cddc33ca6b0f84", + "message": 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+ "signing_randomness": "fd8056d89a263d5ed785a6f5e4b4e26ca2ab41313590f9e821e5ff04f9ea56fc", + "sha3_256_hash_of_signature": "9bd74c5c2ac4d2ab75e85d1485d461e8c2f876bda8bb3cc6126d29290318b0ea" + }, + { + "key_generation_seed": "d9426e6ae7059c8d735decbfb573044115e62d25c9035edc516b56b0cfb00917", + "sha3_256_hash_of_verification_key": "3e89723ceb1b077bb7ac489136fbb1bfe9587af5d42ea98da40302b9a055a5e0", + "sha3_256_hash_of_signing_key": "9256974d472c801ef2a5dc277cc051e8b505ea5df4c62d001fb4fd79b9a05a07", + "message": 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+ "signing_randomness": "9ad69037af16c00c36ead0ff8bca1ba66cb9d65c38c3fbaf0f9dd4d02a01d6a1", + "sha3_256_hash_of_signature": "bd464aae9f8ee85c378e025fd5a9489b4c9da9a9121841d4dc486579a4e55191" + }, + { + "key_generation_seed": "d652df3f4a192cab63cda6c37006d32f781c6f2019aebc3ab6c248df69677fb7", + "sha3_256_hash_of_verification_key": "8b98f46772b6a09e1eafd972ad74e6e1c138ff4801d1df745498986953e52a6c", + "sha3_256_hash_of_signing_key": "7223aef0e72c6537336d503a8a3dc524679dd64b9b00d9b65107c29fe44020e4", + "message": 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+ "signing_randomness": "9e07790ff31f19c751be691d7faf7d1d252cfdb09bcadc0ad15f4f0c1eaaaf41", + "sha3_256_hash_of_signature": "06e6dc54572ece5f1b350f4fcadf5d70965a2af34f233544fdeefe4c34dac698" + }, + { + "key_generation_seed": "a2041a12b005bf072090174b65932c98ef2854d46dcefe46eaf9c845c1017d95", + "sha3_256_hash_of_verification_key": "7389acf2b3b125f7085703fbb1d0c9b1dda782fc3863223a4f83fb49ba215441", + "sha3_256_hash_of_signing_key": "d0533ea3bc9f4d945e196c145b125d7d29648a5a0b622f5ccf574c39326efb51", + "message": 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+ "signing_randomness": "d95f78e9babd368a4a146d21f0f7e2d23a674dcc18dea28b990e062cb60463a8", + "sha3_256_hash_of_signature": "2c665189d08c989a24952c24417de3e8a9450df05bc129ac10722a0881390bef" + }, + { + "key_generation_seed": "7c266aed65d9b47888a3baa8f44ae0e7bb0fcd69fb9a5f16f6d032ab5c908996", + "sha3_256_hash_of_verification_key": "7b8796d2727557d6b2a49cafe250e3c2859cb3c828eea7969ebabdb80d1386a4", + "sha3_256_hash_of_signing_key": "2b6d13124b5c95725c98c273b22562c97820167e697114c3c96c4585f309b85b", + "message": 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+ "signing_randomness": "b168e7865af12831329c5f86321d3a39205e47b05f2683c8b7bd4759d40c5097", + "sha3_256_hash_of_signature": "1c9ea8721a075327965411c2e7bb47ffb79df001802087ecfd0f22d66c00b6d0" + }, + { + "key_generation_seed": "9b0f5116b0b1f5f571ee44ac4ecd8eed0b0ba86ce30ac6e9ea54ef4d5124d3a2", + "sha3_256_hash_of_verification_key": "2cbfd726da53cab5481fe93be49c4e1a16f4ed9d3475bb082cd44268134d3732", + "sha3_256_hash_of_signing_key": "6de5bb6f12f2230fd20b26cc5fbf18f475a1b5e8e6b32ab741a7f32859795b07", + "message": 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+ "signing_randomness": "35a07b24f29b43dcd608595005ba1c8279545c2714bb94260cf5e5c0746a05fc", + "sha3_256_hash_of_signature": "2f62e778afb26d12e9108dd827a684574a700d16706d637686c942bf526d68a1" + }, + { + "key_generation_seed": "1235b8b524399e12580e5bc3c1967ab8cdde54d5697566b7ffe31cba0bfe7dcb", + "sha3_256_hash_of_verification_key": "4f83a8189f205284b064ca260b4badb98d79558503e1a71d23b124dc65a3103a", + "sha3_256_hash_of_signing_key": "70214741b47ec50787bf0c54572127cb820473e8db73ac319af373cc64f2399f", + "message": 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+ "signing_randomness": "cdcf50b5e1020ce5d1755b09dc698d00e20408670e751cdd844bfaf4933b6ce5", + "sha3_256_hash_of_signature": "0992c68c76b03f0eae394d2a7c32e58369bab6c5eece1e2517b652e28b0f645c" + }, + { + "key_generation_seed": "d4633d014930ddac553fa5cc94ebb075419db2830f46b0fad3cef93c2b7d6415", + "sha3_256_hash_of_verification_key": "7992ab6ec8fb283627c4e0431d7eb3609c2484f44a5d414b56fe81300b7d72f9", + "sha3_256_hash_of_signing_key": "ad66052fa8b8ec6e945206770308b094fddf3eb2b75a8041a440a044ad9d90fc", + "message": 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+ "signing_randomness": "61c39c709b1aa44c4c7ee0ca744a0bc9da630d502932ead27a133d99442307db", + "sha3_256_hash_of_signature": "78f0860e18f483e1ee8566ff4c721b36aefb4bd9dfd7c67bb6a8e551ce7beb1d" + }, + { + "key_generation_seed": "de2c3895b37268a67dcadc29974bf70dbff65dcee9a0a4416fdf5d7648969ee9", + "sha3_256_hash_of_verification_key": "fd6fc164db4aed120784d7982b831d72ec3692e52b32dc75215e90f4f193fb97", + "sha3_256_hash_of_signing_key": "212ab27e36b595a712e450f182423acf3c8f092f4f514d8039db9b8c3283618c", + "message": 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+ "signing_randomness": "9d2489c2d6554a6fdb9678933d4a4627b2861dad9a8f9339499df491ce7929d1", + "sha3_256_hash_of_signature": "aad7e622f2c4b66d14f874528ddf2c8924c97b539cc873b2529d46a3e7764b05" + }, + { + "key_generation_seed": "3073ec57ca2dbb3d248662f7bf82ac61e7f9ee0f3669ae35c73ffd6c220ff4b3", + "sha3_256_hash_of_verification_key": "31070c2a2168614051e3f837e00d8082a094fd4988d5ad6e475aef6532ea071a", + "sha3_256_hash_of_signing_key": "799414ffafd64a00e35ddc97e7a4c831669834b24960aaadefb532a10b0e546e", + "message": 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+ "signing_randomness": "c5ba00846d03b9a09bfa174ee746c8fc8f0cffd355f894dbfeb60efa09de0c96", + "sha3_256_hash_of_signature": "28805e9c2422bb5688b309fe3866fb42a86fe8ab9eee669867980ad40669208d" + }, + { + "key_generation_seed": "dab23d65aba44c2561d871ffa5174cbf219e4171f431905b7f9c0a83126a4f1f", + "sha3_256_hash_of_verification_key": "20b6cdb514ea5adf22b8b53c7fd010ad317b2c619a6842cc5416d65ef5e56203", + "sha3_256_hash_of_signing_key": "97bc875ca4fa2c7f966606acdb93426cbbd4f0879e768b66071961c985763619", + "message": 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+ "signing_randomness": "ab7741f2d0a54d18ade01fe26608ef887cff8d6ab32e8d1b828004693a35b6c7", + "sha3_256_hash_of_signature": "238de34df2fefcf5a52ae18323e89e7cbfd0bd7a3a10b9b11244bbf94d285883" + }, + { + "key_generation_seed": "8af231c3064614de652e46ca1e4629510bfe331fdd4457d74c4a6a10c4e6169a", + "sha3_256_hash_of_verification_key": "9633767572001bca32d317634beefe19951b27f7b350b53c56f161c95d7244cd", + "sha3_256_hash_of_signing_key": "5c09ded646885c6c8d86d62d7cdb2dcfd708db559793863e7aaf7027387f112e", + "message": 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+ "signing_randomness": "776b4bc906e7a52e6a8b7bd71772520be3b4480d524576ff89b2b088f71bbb2f", + "sha3_256_hash_of_signature": "5533a07e47f055fedc686c50a8d830fffae5bb40ac59235204663c0f26febb64" + }, + { + "key_generation_seed": "b59d9d08ff98d062c660c90c00e54e8d1a5ef334f827bc04ff9c0cc10fdc9b08", + "sha3_256_hash_of_verification_key": "c8b9794de6d6fde67e55caa35834dbb156f0495408474ab6a38461bafceee030", + "sha3_256_hash_of_signing_key": "6c09f2440f8e2ec4225e04630799f6dd33921cf0e1dc8839b799067a1360df10", + "message": 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+ "signing_randomness": "f8264fbffaf8a5a0cdf90207db989511484f3d9b4b24445b4469b0f70b106633", + "sha3_256_hash_of_signature": "0f5e29a7a6900effdec645ed99d2b72630d5da80989a1953633c01308f95b3d3" + }, + { + "key_generation_seed": "81d0905962cbbec1aeb50338c46436582edf38819404ca36983b8d0c96c41f65", + "sha3_256_hash_of_verification_key": "9c04d33b6f029d44e5d6ba920cd1e0f6ddd14dc49632ececf416084bff220d13", + "sha3_256_hash_of_signing_key": "9732deeae56c7fe8a6f6184ca897c3056dddd5d14ff9eb83a5623f29957215f4", + "message": 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+ "signing_randomness": "3d8960bbf0ac05a6588d8f182a0f5465c753451c7fb72a1c7a43bc31195217f9", + "sha3_256_hash_of_signature": "21b5fe4ad85565df632d3e6faa8d5a48f30778a63bdf2f74cdf43dc25ec4106a" + }, + { + "key_generation_seed": "7cf4bc2f4ce2dd3b2bf4d52414fa17267209ef3c265807aa948c04333c786af3", + "sha3_256_hash_of_verification_key": "d5322e39a8f57cd75afc663458c937bd41ffd71ea5ac53ad2a1174ef75af6057", + "sha3_256_hash_of_signing_key": "191399d566e2ee896ac221768e9e31e4385243c286ba0c12621bcf59325e88a5", + "message": 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+ "signing_randomness": "c08f8d705729d9c79eaed6051ac9475f835cc4261f69708e2fad63e175b35c47", + "sha3_256_hash_of_signature": "9a19741912c967efb472663d9f23e7811018e5568a77f6575e85c28629e997bf" + }, + { + "key_generation_seed": "194f905bffda126c0fc651aa2e91985d14db3e3b8c89377ffb9ed722437a75e5", + "sha3_256_hash_of_verification_key": "e808987c391c2ca06546e17054ca28c9870684775763dabd5e106c0f0b348347", + "sha3_256_hash_of_signing_key": "7ed14d9fb68fd4efc516da08ec4964f2877bd5d27d09491ebd110e126b43813c", + "message": 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+ "signing_randomness": "d5a53ad4117d12b21f03302de5af6bf962802ccf45c858d762a76436f9c08dde", + "sha3_256_hash_of_signature": "c808b495f4e58757d9cdbecc6d0aa58f6a113164fb1a740f0a8f6f24525793d7" + }, + { + "key_generation_seed": "610ca45ab3a801f671d923e5aaa9c74de2956da3f9bf4751ec582a84a2c21665", + "sha3_256_hash_of_verification_key": "aeb04ea06e086ff1454da68638d59afaeb56aad7c231914445df69debbe14207", + "sha3_256_hash_of_signing_key": "9a544ac879c9c46676e91593e9824af39cc3dc5e2541dcf44c468cee650750a7", + "message": 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+ "signing_randomness": "946bfecc039a060a50dbe2edc15e7b70e6b4b18bf61f2db579cbf186fedfa991", + "sha3_256_hash_of_signature": "3ca01ebdcbfaf1980f154a1ff0daad4ea6b9c0c0ac1c42e479d4e0a9de03ab2e" + }, + { + "key_generation_seed": "3678d4e43b5358f74c39b225d8c4a896b41b59d4007c3c268b3aa802491bd3ff", + "sha3_256_hash_of_verification_key": "b0a171cf8280a4f50b570adde0beec92ff39235fff6f77499a8191e75a6da1b7", + "sha3_256_hash_of_signing_key": "849ea152f4463d23f654770481513c8f4bf6c978246de230413c450b26e2baa9", + "message": 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+ "signing_randomness": "59950e3d07b26022326422d91558c311e719b67a0811c6108a00bdcad79aab11", + "sha3_256_hash_of_signature": "a78323acb1c1232f483db29103c49e13f2f24ce3209f634ea83281e6c7362a53" + }, + { + "key_generation_seed": "cc3a55b1da9dece26c59ef235890f0f45937461f94aca88d26fc1f94b3a6b0bf", + "sha3_256_hash_of_verification_key": "70bfb384ed2dbf891611eba87eea865bcda9b5bb887a70c73ec8b6e253dbdf1d", + "sha3_256_hash_of_signing_key": "45fc6fc17a5f16f28560bece00a50b0dc2f22d827cb4542071ada1333b88f2e2", + "message": 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+ "signing_randomness": "8c3ed8dadc5313d3b42f0fb977c0b175340c0c24991ba3fdc7435932488d72ed", + "sha3_256_hash_of_signature": "49de6487196aa3b987fda507e2becd7285404f865cfffbd234ebcfbe59048c25" + }, + { + "key_generation_seed": "b59b71be12e75603426b9a0d13bd957c657ef49d6a9335afe751c2cc520f31ca", + "sha3_256_hash_of_verification_key": "5a2282b6e9fe394272d177225fcd128c1b8eeb4c2e09ff3716a7f0f44f366869", + "sha3_256_hash_of_signing_key": "6a8f4280e36043b12ca12f4b0e232bb3e04f6b97b0f33af5d5b81cf73fa4173c", + "message": 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+ "signing_randomness": "270670d3b285f014056dcb0d4e907ce09e728c2797bdae12fcbe8f3faaf144a3", + "sha3_256_hash_of_signature": "bdfce2abf2162d58a47b415acfea1d25ffa14fa5e96ac1ec93f637c8e3287be9" + }, + { + "key_generation_seed": "2dcbca009613ac092b9f5ff03bb892dd23700a2de2ad086775840115e2494ebf", + "sha3_256_hash_of_verification_key": "89d0dfd71f14fd7e46521ed91f88eeb6fca7d5c40bdc87b21aefd52ec261e0a7", + "sha3_256_hash_of_signing_key": "17e7c774ea059148e1adbe0eac960ee52b27c33ed7104a083e33ccf61d28b94e", + "message": 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+ "signing_randomness": "fe14d293e63a329d8c5b908dbb1c9caf971ad844963cfa315201c3895270e14f", + "sha3_256_hash_of_signature": "1de0cc0ff07d3118415e4f020c11e61da5941a84425706f6ba62fb7cf35892cb" + }, + { + "key_generation_seed": "4eb2d202c58fc106b82d4074a8b631609dd15aeb7378d2b13f60ab834aa5febe", + "sha3_256_hash_of_verification_key": "3abc2f22921b998e35ba9992069e603533768bcf3b550b9628492546c33e84ce", + "sha3_256_hash_of_signing_key": "22dcfa8830c8607753d3b3bf94ef32922032f2f4d3e1fe73d5c41af0aa74002a", + "message": 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+ "signing_randomness": "2754c6b8e3e878cb66223e02cc3cfd3c361c38bbdbf274e50ae69209951f2dc7", + "sha3_256_hash_of_signature": "5f1cf6e40c3d859e1a8d7558b23d81372ad5216d52102c1f10892b9700c8114d" + }, + { + "key_generation_seed": "305cd121665de986cca91066081d438e8333e87cc6648c8c52dc3cde9309c5bb", + "sha3_256_hash_of_verification_key": "aa528d4b527853d5edfcf84df67485692fa005db3f566d3fb321666aa433eb02", + "sha3_256_hash_of_signing_key": "a96e702bd04a3f26a7e639f07dfec54f0d452a03177d4596a4a83666d37b6e36", + "message": 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+ "signing_randomness": "cb9108f635fca2f1f69ad1615a7e050d27a17d422b6231200979489e9401bac2", + "sha3_256_hash_of_signature": "13c2f553f9a058b99e452acc3e4054bd74d2bd821e9bfe33fdc58488b5e69aad" + }, + { + "key_generation_seed": "194f4bcd03cd58a246a7f6595ab9fca82d4907e521bb72d9244e8828a3473d2e", + "sha3_256_hash_of_verification_key": "9afc3f6e60f64e6f94f5f6fcf908977f7b6b64b401a99402f836b6e3ba1ef046", + "sha3_256_hash_of_signing_key": "5689b7d3f23b36e2d1a487425cea3a6b9b5de5b5d9e2d98d8b545b8d527f2444", + "message": 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+ "signing_randomness": "89d1fbb0d86f8b779923a9642b1f6b501fa510c23d0b29519f89a465d4b2d584", + "sha3_256_hash_of_signature": "173d0cf2f3adbdc09cf9f88b8dc1be36c344fae22d54d37e8a6c2e887e2477ff" + }, + { + "key_generation_seed": "19c4db1376a95530a5753806595421c299455f944a168b987f5ac6e27993703b", + "sha3_256_hash_of_verification_key": "3db666cadd348140890a8c24fdc6deced7fafad6fbb3478448ce7287761524f4", + "sha3_256_hash_of_signing_key": "128a6aa2f2e9d041070c5686d3d5dbb48207fc696b14802bd8bb6ed4a438dbf9", + "message": 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+ "signing_randomness": "34e7c3caad75e2f18670a1d80dbe10d29b4433e221c3621acf2c9454cc67b46a", + "sha3_256_hash_of_signature": "e4e60b25b898a70c8e20e57ff6b4c458b7dc5ff83441ea043703c2db6fb8b48a" + }, + { + "key_generation_seed": "5c938353baab44895923bc2e7123bd6e8423ec6aefe7004082f89aa9425ba909", + "sha3_256_hash_of_verification_key": "3cb3f78e209db5229ae94dad18bbc180dc7d4f41e6947758ee80bcbe502241f1", + "sha3_256_hash_of_signing_key": "e39ee9d884b3e5b88f533306fdb2dc94e345a70167b1cd6103ecd074cdedabb8", + "message": 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+ "signing_randomness": "81eaaa53ce6fc29b269e28b3ee726ce1e0002b4a10c0b0a1af335991bb71b9b4", + "sha3_256_hash_of_signature": "47f7d48aa0ba0eaf05f53dc2eafb7bcc7d5645ad0794cd69ea976f95561355aa" + }, + { + "key_generation_seed": "c1cbb2d297de31f4e3187484d2af73143070b45c5da3496edf2cd5828dafae29", + "sha3_256_hash_of_verification_key": "f624338aba8b288a90c9abf7ff68c33bcea86fc60d625b58000554781d348140", + "sha3_256_hash_of_signing_key": "674dd13adeae1938fb76ebc865de2f7534488250699a8444ca4adb73e9374d78", + "message": 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+ "signing_randomness": "0732b9e0a41f3904744dbb35d1ac13faa0ca43bf543f5c689773e4fc6bbf83a4", + "sha3_256_hash_of_signature": "5e14332070c2a321179669a901c94b05ae9b5b015afc834655fb10c4b705bd96" + }, + { + "key_generation_seed": "d488f40f0e2c351f304020eac63c2628078c8b263451653e99344b0c73835770", + "sha3_256_hash_of_verification_key": "493531902f0b8008f03e9bdc95660cf693dee03f1a028fb4dcdd7e22c1db1051", + "sha3_256_hash_of_signing_key": "5aea68033deb2bc6a9e34f31f771cc364c049fcc63643b0892dd90256b9ff7a2", + "message": 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+ "signing_randomness": "0c7b8d42b6e94bfa99a07c3aadbc74908e53d122cd97b316e7262b52c6b2c6df", + "sha3_256_hash_of_signature": "e016e1d07db53ab91b65665ed39302a50eb0f885320302d596d8689a46ee16e2" + }, + { + "key_generation_seed": "dbc67949afa8216f09ed92744db69495f80d15a91b9322dfe10bfcd6db254880", + "sha3_256_hash_of_verification_key": "97b897c6b941c38418a2dac8b97c891e5afb5988d02aeed60f7830c0b129ac58", + "sha3_256_hash_of_signing_key": "c41644931f8e1c4fdbd9bb7f8297e8db2c3264bca272c21ccc928b029ab3b3f6", + "message": 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+ "signing_randomness": "dba17a97c4433b0463b45c4e126138a7a711ff8633ab0ffcca6d78de9c1fd1cf", + "sha3_256_hash_of_signature": "03e3d5a303b829a9990e0d0b991dd11dfd36235c810e81ca9b4d88f349b0a75e" + }, + { + "key_generation_seed": "f1de32f9d2a84ccf9190af90e1596bf25f04e9335c5405103728974bc06c80fe", + "sha3_256_hash_of_verification_key": "55133c7f9b80a5d1eec4be17702b1e413e081c40b488b83bb6512a77848e8e8b", + "sha3_256_hash_of_signing_key": "c465e86b2c47362084b71741f9a77ec935080545f24fde4b2481ba4a040c356e", + "message": 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+ "signing_randomness": "b769c09e471d6c12bcab1e0b81b9e59d60d499266c003e00c8be603fdc0901f3", + "sha3_256_hash_of_signature": "488a14389a28ab8c31e4a39a24d1af94d374537ef7d4847563154f8282f04af7" + }, + { + "key_generation_seed": "fbffaa0740a7798f3280c3e977f99dbd604609679621f507be8b63e5a87f6541", + "sha3_256_hash_of_verification_key": "99bdb51b1e0b4e715c601442f9a8841b2bbb56524867fe3dff631e75433743b4", + "sha3_256_hash_of_signing_key": "e8855284fbc8d660e339b6444e1d78a32ad88f37c32ad3a881354c86283addcf", + "message": 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+ "signing_randomness": "e5431cc87cfaefd95e8de658ddb9e20e21dca9d13f26510fb67d441342cb2e2f", + "sha3_256_hash_of_signature": "b5e6fd90281f09dc0c61d7cc4d56e7070792fe6d171656320224708114d7bdb3" + }, + { + "key_generation_seed": "aabf35b59d6cb6b5ee1ff7a8d4d26db822c5d4568446723cc16bda3e44a344c4", + "sha3_256_hash_of_verification_key": "24e9e4db8df69e0c362696c3d10c6de866a0472b311a7c4d726723583447d454", + "sha3_256_hash_of_signing_key": "6e0afc08f60c9134aec96bda78dcc1f611544f8deace36e39989586c39b2048b", + "message": 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+ "signing_randomness": "f581543254e421f90904d13784500346a1d6514b7ba6761070995334cb08a04e", + "sha3_256_hash_of_signature": "23a625dc7be4b647cf14b592fd2cb55b915dcb9bf88e94da34b7c44751f1ac36" + }, + { + "key_generation_seed": "96c76684fba10b42b046360ebc034f95f9055f575513f72e6b0a8ba38cd6e75f", + "sha3_256_hash_of_verification_key": "63c19202963fbb812f0913a2aa206229cd41625b19624acea065f18eb7c49f3a", + "sha3_256_hash_of_signing_key": "98d3648a0ec10c54fed1fb00fb1c0b792b1fac706139a38926d26b8b91878e1c", + "message": 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+ "signing_randomness": "abb53f76f4c89f889d2576313b3c0b2485172406239919ba2a3ef1be34f6cc85", + "sha3_256_hash_of_signature": "f4dbda81a7d8262530e98f98cf0d322511f01adaf9a77ba1b66e243a05e5119c" + }, + { + "key_generation_seed": "573ea9840dc6f68cb351678e3715499b7b23cd5f9c7dd72b1ca7f5acae5f4f23", + "sha3_256_hash_of_verification_key": "3380210c112404afaae90d350b4b57f052a8a7d145cea12fe5ad6a742a9bf08d", + "sha3_256_hash_of_signing_key": "41d4ec0c079e6e481d2240bfde397db8c73709c05455c7ea76e87ea62dcf3fbd", + "message": 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+ "signing_randomness": "90fcc09b86ef0fb67e1fdddc9caf34e7e648b25bbb4c6e513f66d9b1cb464854", + "sha3_256_hash_of_signature": "a4b8cee30da9ce52a11b2521f474d6eac20aae453ddf51b2a361585fb2724098" + }, + { + "key_generation_seed": "25b4025e2e89aca5ad3b96821132542e88349aec553863992da93b22815663ee", + "sha3_256_hash_of_verification_key": "862467bc4ea78dd4bf9aeee10f1a9cc7263b2b22f483e6d8ac31bf7a5a5c2bff", + "sha3_256_hash_of_signing_key": "6e0d60d5afdbd1a61cdc507a02c8c4ed3105505ccf80413d7a2c5f151065e9ca", + "message": 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+ "signing_randomness": "fb28b62b5ead86abb1bd36b1056e27b52ce9e0ab319216d016c30de57bc39a79", + "sha3_256_hash_of_signature": "96bf7795144b5de489d1d9941b535d1e0a21dbe8025fcc147075866859eacbb1" + }, + { + "key_generation_seed": "fe3a694eb368fd4215c332e27b25d08e8e627b374598eee95dc8641f37f7b6c3", + "sha3_256_hash_of_verification_key": "01f5802bedb536947a404e45cef95ccbd5c19ab55c32fa640331a26dc4b9b208", + "sha3_256_hash_of_signing_key": "36a4dc5ee48affbb2eed350087d28750cb4b769039b2b7f1ec4a226c23d0ddc0", + "message": 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+ "signing_randomness": "1025c8dcd1b563584a2d92046130cdb4a375a9552b0728cfc48fa908eb0a292e", + "sha3_256_hash_of_signature": "485cbbfdd709e785b06e8e83a13ff0d69cce57eb04a9b2176fde107cb300022f" + }, + { + "key_generation_seed": "8482813cb07fe35b4798946f8654fed4ee3b3e5b0a920d623be6c6ea515fd892", + "sha3_256_hash_of_verification_key": "ae0e99a2542c963970f8bf47e9de5bd0a6ee8b6bb6eac165068e8ba0280b0312", + "sha3_256_hash_of_signing_key": "0d1faf40cb02e295b5ddf3c4bc637c25e83cbf37dc430f1d5c2f1fd172cbbe82", + "message": 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+ "signing_randomness": "822fef0d939ac2be9a1138e8197172b1b1116041678ecd424a913bab9d72f611", + "sha3_256_hash_of_signature": "239b2519b42568927b7f8a2c82479d87637b13cdf0a3d98c7103af49cdcedd1f" + }, + { + "key_generation_seed": "9fd17cfa2994117275a4e3eaf180b0c6142c1b72ffcb5c1a823f868a45566071", + "sha3_256_hash_of_verification_key": "846202a78eb24920c97e5aac575df51677d76d7719b1c0319030bb154573965e", + "sha3_256_hash_of_signing_key": "c8efd4f1317696ebc683f67a914d9c4c7a6699fee83ddd6fe4e151071f138fed", + "message": 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+ "signing_randomness": "8371ef5cf9fb46090990a0ea436ad6dca9e504dde0ad82369a24a4a2c2f95f51", + "sha3_256_hash_of_signature": "c4d0bc563ae61f934aa6516f20597e53d0decf5f4805cf6d7f5c3b4a4fff33ac" + }, + { + "key_generation_seed": "5181ef7fac46770570a0d33d8467febd8cbf8dafc5247c6f392610441e87eaae", + "sha3_256_hash_of_verification_key": "1026ffc4ba167c7d4f117afc28093b0b8d254ff9765ec8aae1640aeec7edff96", + "sha3_256_hash_of_signing_key": "fc32e64a8f3e6a03b34faf56bad7a3ec75d429d66ac14d2693c0be3b1e8a3ca0", + "message": 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+ "signing_randomness": "cdd8d6b06038cab62fde87d2f396e7cdc2d89dc3d72b05ba92d5371bbe28632e", + "sha3_256_hash_of_signature": "abe1b6e87a4652c25374b46490752acc6945475223970304200cffe1559f230b" + }, + { + "key_generation_seed": "e0f629160dd30ff37c5fd9a782730445726909c0cd6567ef7010f0a7770e2c5e", + "sha3_256_hash_of_verification_key": "597233561efeb191659368a7a8ad553d0027345f16387f1192d89909e97269dc", + "sha3_256_hash_of_signing_key": "0a85f41055664d27f001fcd5c5a7d6eefc04633e83ab939d39bd3ff0fcf19d99", + "message": 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+ "signing_randomness": "9b32f14f469916f9b3fea63f0187f4fb70c81b87fac2e504552c4ee365ec3c7d", + "sha3_256_hash_of_signature": "bf33dc4a61669696f4fc9eaf46f0c9b70747d4427a0fbd1eb8e4927dfdb3773b" + }, + { + "key_generation_seed": "9a1a446697ef3159325ad78e60d9b96a319b59cdf077b7901d004bdae9269ffe", + "sha3_256_hash_of_verification_key": "315e2d2b6fbd474ad5aa5dd4e2fdc4db32252731c348c306c63cc805bdbc0edd", + "sha3_256_hash_of_signing_key": "7bdd7b9e18451a7db6308a0e7a71f349d216c6ca969c026e21b5b1e86b3705a7", + "message": 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+ "signing_randomness": "e7beba4f0e5486810c15fb9789ea8fdc0610b70233b80d1047022bc5eefd45db", + "sha3_256_hash_of_signature": "0f4575637827f466926d56c11d734c75553903af188504fcb617e4a645d8917d" + }, + { + "key_generation_seed": "6e4b757a157a4cac2bfe5a233de9a602aa038a950749160caaddfe722bc04493", + "sha3_256_hash_of_verification_key": "d1810c802bc86b5df1a17a70195ff3130ec5ff9445dc57b99117250c69614ca6", + "sha3_256_hash_of_signing_key": "3c17ff0c9e28376b383b5683b3f83bd5b920305561bfc52f2c886016a830c341", + "message": 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+ "signing_randomness": "e1b025032b55fd003d8ce519da7c2528ca713c567d44b758feb4e89aad1a7cd7", + "sha3_256_hash_of_signature": "9c3ccfdaa385025de88b5080c06ed81c29338f091ebeaa4938d706250fefbcf2" + }, + { + "key_generation_seed": "c2e5cf3598a5dc3964b6175d09d45f6700f50421237eb081cc9169472ec8f301", + "sha3_256_hash_of_verification_key": "4b3be2c57c623f46210149f548f8e739c96bfc08d828ac53937c266eee9cd32b", + "sha3_256_hash_of_signing_key": "746cb5f5a2672ee9a1113151fffd0ecb9bc54a065c062779d06919ac9aa0f47b", + "message": 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+ "signing_randomness": "bedd757ce86be128f1da004302472a3b6a39bbb7a07c27892cbc2c9528fc7b53", + "sha3_256_hash_of_signature": "bef447b59e8a640ab5f94aba773647d589a9cd185c2432a75329b2ba6fc31508" + }, + { + "key_generation_seed": "54585cf29b5586349104246bd64813032e94c7fb145abe0fb1c3baaa13b41187", + "sha3_256_hash_of_verification_key": "1bb61d9d9b28342084877462d5a1493d4773522b47e2fad44e20d10343829002", + "sha3_256_hash_of_signing_key": "9dca5c944645d43eecd3d584d8c9c6d0a87eb47e57fcb04724461699576b3cc7", + "message": 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+ "signing_randomness": "3c16c86db913032c8823f37cda55e7a76834eb82edd358dc8eeac0e75aa21a02", + "sha3_256_hash_of_signature": "b3a8d0720fe6d8e97f95907b0aa61e6d56edcf984554b3f72456686ff40a136e" + }, + { + "key_generation_seed": "9ceaf9281f516770cb8814fe26b70464c8de978d5962abcbc454ec031a94fedb", + "sha3_256_hash_of_verification_key": "b314e0f716944bb8cc5db6f54c3b04b3d0024af2891f2cfd0ae54c5c5c0aa9cb", + "sha3_256_hash_of_signing_key": "7fa3ec851dece9667eaebaf87a3a169d78fa88d4299c73fc1f15082936f589a8", + "message": 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+ "signing_randomness": "5619abc920dd1e7b7281c3ae07ac2da9b883f21c1a2b2f5e4cfa26d5c685f976", + "sha3_256_hash_of_signature": "73906d0b513e3c5c69103ed75e3bb8d4ac59426e502eeb0f51a5e4658825803f" + }, + { + "key_generation_seed": "812fb880ed7e01b0fd611fcef4dea6ea1f395aa57a8e8bd841396c7902333ca3", + "sha3_256_hash_of_verification_key": "9e9a81723d0233017ded1709c2ca9f8c7a8bcd82b709989fc23566e6ddfc66ab", + "sha3_256_hash_of_signing_key": "befba4883e31d06a7f92e502b7d02017f54ad18272d6a88bf80a15a95696bd5c", + "message": 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+ "signing_randomness": "3a03136f7e8c8687024b3e58bd8c31000535632042b0782ecbb8a26e7046d25b", + "sha3_256_hash_of_signature": "2ced41ff7d4f0e4245d19fb23a6dc923dd2f514d1e9bc3fe99b4a7546302d314" + }, + { + "key_generation_seed": "12dec3b03390cb1ddbcf133f26f70364d4d63c88e2ee74e1de4c94a0bd88b625", + "sha3_256_hash_of_verification_key": "f8cfecdeba2e325c3d7614a5da20b13bc586c756bca40db098b7cc26e769e2a2", + "sha3_256_hash_of_signing_key": "da512c62a71a4d5ef321ba34adbec3a59d126068a26689525f73ba472f6a1fb7", + "message": 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+ "signing_randomness": "750a610eb8d501726e88db466d12cfc9a45bc35275cb6ca389ae25ed3d8fe92c", + "sha3_256_hash_of_signature": "9db18c6f3418d64ead7e1862a1f55e6f73ac0d8678249733a37e69d19c5d31db" + }, + { + "key_generation_seed": "2118bd409483e83e987e2c9e5d3e04f5520745d1bffae9dd595271de20f579fb", + "sha3_256_hash_of_verification_key": "9d5fb394ee91ac76f722539e189ee1096ba301ae3ac3897e8c133fcb8fa869eb", + "sha3_256_hash_of_signing_key": "59eb8a5f1a32c8053fd2dd0bb68f6675ab1591f5e8626b4eda7d3473c129b078", + "message": 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+ "signing_randomness": "a3a3d819d770b05a4818f6ca3fc20100b439acd8b4f034b44fa060d00935462a", + "sha3_256_hash_of_signature": "648253e5aea11e9139c892faad60b8a6d2862cb9d4ec8975fc216789ba332ee6" + }, + { + "key_generation_seed": "8733edb6c514c3dfcda0b69d911d62fc773af9507f025cd4f45d520c30fceeca", + "sha3_256_hash_of_verification_key": "73451a8dada1ef52578473ff471b8e5cf916f27c7b3079435c0f76a2febf4d6b", + "sha3_256_hash_of_signing_key": "ace383c49c7f84b229a589580679bc562512b3b1b2d4cd283d36c1b4f23592b7", + "message": 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+ "signing_randomness": "1c9f9b22beea6a5ae2ab32da034b58ccb28d4b7bc6dbbd125010dbc88a71a432", + "sha3_256_hash_of_signature": "6a0adc5d8eadfcaf715d91a767a89346ff397b002623b36b854b1c1bf33fc514" + }, + { + "key_generation_seed": "aca6c25d1a8fcc2199653fe326890a914e6cfa98040c3801f2562712ec3abe58", + "sha3_256_hash_of_verification_key": "ff66ce1338d2c2fde40ee412c8ed4acc2d00149a567f591ce22ebe3fe4510593", + "sha3_256_hash_of_signing_key": "801a7a651da08df17823febccd796d62c0dcb965ef14d15e56ae3861162796e4", + "message": 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+ "signing_randomness": "611d6581af2764e86abd22bed0da1dbc01a374d90a90547c57e4e0f3397a8b6f", + "sha3_256_hash_of_signature": "519c67b3e443b2d6b16cdfe69e23bbf22b6510bfa03b5ca03b6eeca388d30e8d" + }, + { + "key_generation_seed": "48b27e3092722258c1e12ef7bd0380a282c51d16e5e47d7f7c6d9a7c9731ee48", + "sha3_256_hash_of_verification_key": "f16bc8632d2c17a58a06932526328bfa27c1343ac13704d364d791fe56c0b06f", + "sha3_256_hash_of_signing_key": "03d92aca0cec2932485fd5431818735f2897a8107e86d2d05316811f652aaa72", + "message": 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+ "signing_randomness": "1f50d360dbcd09bf54c7f8b1be0e63c9d1dcb30503a8486eff397ef74f92c5c0", + "sha3_256_hash_of_signature": "62203978e4476dc8df975c4e6726606a55caf9227345a94f51065f0dcf3d272b" + }, + { + "key_generation_seed": "2cbeab1c364147353a4d1726e4a7345b062bd5223e82698189cf7b538dabe488", + "sha3_256_hash_of_verification_key": "cce2c51ffe534d93aa78031e5b06651c0f7969be4e8676cd2674a61f29584d56", + "sha3_256_hash_of_signing_key": "5aac492499fa4800a055a4c8a294fe77d87ba5f522c31dc7422aaa24c73d9725", + "message": 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+ "signing_randomness": "aa7f081ee0f14812927f4136b641417a9c8b23ffa60f511c54534b314ffb1c8a", + "sha3_256_hash_of_signature": "ba4e7a4e4045d32723a052df5c8091afcf37bd4baf6f404cb0dc235cdc688ec3" + }, + { + "key_generation_seed": "339c659f43e5c05a01cf19ee4f2610a64272b0bb6b01aa1dc67f5cf72eee8dba", + "sha3_256_hash_of_verification_key": "d6d3eab7090fc2ff379c39569ea6f6593c4e98de1bf7661a8ee1e0fe88ed9974", + "sha3_256_hash_of_signing_key": "4f82050d2df29aab68ea28078eff824f4401d2d7589fdcfac5a9e5f3968cd461", + "message": 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+ "signing_randomness": "35f0a17297e5be6eddc6b399da19bbae4d8abf5e6209c494236fc78605e1d8c0", + "sha3_256_hash_of_signature": "7f653fb75554602dcfcb4f3b82c371c63c2be292f0766f21259bf90813f114da" + }, + { + "key_generation_seed": "28b513e11e222d10057de0b63d85fd4ba76e7756d333e0e6868f9ca31cd2e5c7", + "sha3_256_hash_of_verification_key": "82a7924ed153326c25edc88ea97fcb1a904b40fd2ae6bfcffd4ac637b0305d9a", + "sha3_256_hash_of_signing_key": "45b72b02bf0c1a9b29dcf007be60b1f0d6d11c238e7f847a88e2a0bbbeb2fda7", + "message": 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+ "signing_randomness": "d5d5537f1737bfdac4b11f44471a0193d44d581de080dcaa5f06743ee0721c7c", + "sha3_256_hash_of_signature": "a8e8770ddee6b0de0da6ec19769c535b3c7f9b7cba61737ab3e6f1ca247bb1c1" + }, + { + "key_generation_seed": "391f049dee64488c8c9b257062d500eada95561bc62df977ff78e45c10edb3bd", + "sha3_256_hash_of_verification_key": "b5c5539043b7267e509c08233438f872b495af0c9fc706c290b0786752da8435", + "sha3_256_hash_of_signing_key": "d2387b444b105cfa2f70eea1dd45eccc848be1b353c3f37313cb7c5963d3a622", + "message": 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+ "signing_randomness": "bdddd2270afbb9f1eccd52043f03122f81d6aaacc02d79d2f305e64b47c89a3c", + "sha3_256_hash_of_signature": "bfecfcb02517b333cfedd71faf75f1641046794eb8ec8a092148876b65ad2155" + }, + { + "key_generation_seed": "53cd964f5d3b38a084bf5f16eb0dffb07f78b7de0150f9ad9f6e150a0add7c50", + "sha3_256_hash_of_verification_key": "a4b39a0421a5c98f671616941d43f877dc9597c071701bc0307650925ade9e69", + "sha3_256_hash_of_signing_key": "e84a06ee307a3cc9c7814ecedd4a8321c80549751a78930e1bbfdcbb7d2c60f9", + "message": 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+ "signing_randomness": "cfe21183d54e8415fa3066afa4f1a8b7ddeb29c4b1d2ad7b7316c9c89d365f4a", + "sha3_256_hash_of_signature": "c8b8ddf2581214f7fa2b70511bf0fd6edec39fbeaa9449b45e60b3e7bc052cdc" + }, + { + "key_generation_seed": "f8a53fac054f7be973a028a13c3aa8f84d36370b42c9624574664e49186fcc16", + "sha3_256_hash_of_verification_key": "d8637055366d1c392346c6f4e9099e5370002a17a8ff67c2d37e024093faae8a", + "sha3_256_hash_of_signing_key": "33d841974e912fb9c06178cbc358e439ad9564faa7d2c17c5ac254873958eb6b", + "message": 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+ "signing_randomness": "d3fc57302b58d7138b6be1f49c690e5c23d128928285b63808ba554ce340603f", + "sha3_256_hash_of_signature": "662c32f6655a363d4ba3b39c881071ebf957b4dc38e200ec7dc86d2f220cb117" + }, + { + "key_generation_seed": "05f82c6db840cfe20320b173638c9d39c12b554a34470ea2ca6e53dfd0f6f242", + "sha3_256_hash_of_verification_key": "0213096461ce4ba1b8987890fdfc6c57ffa7ccb84d1fa44beb08023249c16c6e", + "sha3_256_hash_of_signing_key": "2a597781d2538f37281396d0cf414b8b7b586b2b8e9ed7b54264cdcac0bf5c8b", + "message": 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+ "signing_randomness": "80f989d118fc38db21d74b6eeeb2ac08d724c8967fc8f8c646e5cbeae09c75d0", + "sha3_256_hash_of_signature": "3826a6fc397f371bfc08160586bdf2981cf1a2d4af33b3f731fb92aa2eda2304" + }, + { + "key_generation_seed": "dfede4eb8a7ca341f9706463e460ff674701591596dd6c3065b2db069ce0cf27", + "sha3_256_hash_of_verification_key": "7852baa2f51af0af264f4d98e9ab527fe3b1622d3a05f1c250d63c76bf0e2ec4", + "sha3_256_hash_of_signing_key": "e1be5c1fd6b23107d0049271d42a9fc81d758acc9852f7e36f232f9a55973691", + "message": 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+ "signing_randomness": "cccca6744c6754eba16d5609bd0c5a2c9176fcf0cea74097709aee4b4b5fc2ea", + "sha3_256_hash_of_signature": "7ab14a30ce78e8103368508dbe95d4c069c0fb243c500c57c0f1d36ba2b3161f" + }, + { + "key_generation_seed": "15cef87d6ac1a6ccb4e91edb7f00e9905b4a7ee76d59d8e1b65ec901222beec0", + "sha3_256_hash_of_verification_key": "b6260db9c1729e6b3322799b901fe8e8c6d049de00ecd2d6bb5452cfe65e23f7", + "sha3_256_hash_of_signing_key": "26dc9d4dd454105fe67ebb7f2367cd14fe23de13d519af35cf520e236038b259", + "message": 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+ "signing_randomness": "1462dd270cd957865d4b46005762d05dcfc71e04503fd6de25c8e811f48e94bc", + "sha3_256_hash_of_signature": "82dfd8bbdff647b09f75fd002e73c92ec397b1d11b6e83cad522ae67958c3d75" + }, + { + "key_generation_seed": "703887cb99f6a67b811704f88255677f9cbb1007db66ee8bc4485e4a85063a12", + "sha3_256_hash_of_verification_key": "564abf842e6404d3cf3bc8d021a7f96027ea4fb16a565fe9accdb674f291ad7a", + "sha3_256_hash_of_signing_key": "7fb955caae5e2d95239e97df93628471f1e4d04e6b458a8e8d91119774e1663e", + "message": 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+ "signing_randomness": "a27ecd45876e882cad85ae8113e41aa35ef2c8a9c3dff100db6d9fc0cb7680dc", + "sha3_256_hash_of_signature": "df337db5770118b8cb01aafbde09e8f2d01bbab665070d62418e743adc692734" + }, + { + "key_generation_seed": "837d2c7fb0c7523f941aa182cb5554e65ed7c6eaec0cc11280b1760b2ba4b45e", + "sha3_256_hash_of_verification_key": "9aaac603b3a878300593d221ccdc33dd179d1922c2d03a403cd32efe2c5215b7", + "sha3_256_hash_of_signing_key": "bc330e97362162768f03e19bd01329f929205fbdfbd09b178ca7947edd3b95d8", + "message": 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+ "signing_randomness": "3dc544ce4b3dd3666313cbafc00ebc6f1e82af6b8e8f8cec273c01e6e7b89d9d", + "sha3_256_hash_of_signature": "70c587bfff2afaa12a3d794625b5dc1d9f72f857d947c5bbbed5dc17fac7e2e3" + }, + { + "key_generation_seed": "41c2b97741896fdd6916cce666adbe311069daa7191f50f648c1b3fd0c23a641", + "sha3_256_hash_of_verification_key": "0cf9e14f59738fb933aafc7ae957771596c3c230c69125a79389cbcd393885ac", + "sha3_256_hash_of_signing_key": "ddcdcc1732b18c3dba9bc5656fdabc7d063ac7d7c016a41b7ec23e5813b83646", + "message": 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+ "signing_randomness": "2f7b0f913bda5135087a604e69df8138e75456393883a8bbacf3e5ad22b5dfb2", + "sha3_256_hash_of_signature": "2a1a1f335182679fb951adda95d477b11cdf20470a09a36601a5408276191803" + }, + { + "key_generation_seed": "26653bcdca531eace9bf541d80d6976a5f13ea6e34ae9cb028aff15985682e3e", + "sha3_256_hash_of_verification_key": "833e984c4b246ad6333ac649a67368d1f86e059b022ab54fd773d72383f07858", + "sha3_256_hash_of_signing_key": "924f2033ebf8d6309cd1ecfcbeeb3d74344b18ce6e2b9f96c9829f60396debf6", + "message": 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+ "signing_randomness": "d164e0df64fb5fdf25999a001c61b29f685632dd79fd84edb8c8cbd868742bd0", + "sha3_256_hash_of_signature": "3e15820a68b57d9fd4c5aa8a13f08422444e8b7fc4547c8e215d9f1a14c1696f" + }, + { + "key_generation_seed": "e39d60fc6e5fe84b6bbb0f4d543cd00e4df69fb2960f17f2ef13579e68396e22", + "sha3_256_hash_of_verification_key": "65fc041b095339194371f855182875c6f1869c979bae4b9946263db7d949d529", + "sha3_256_hash_of_signing_key": "08b7c5199323fa34ee4d21885a814ebc3eb541abd0bb6197100f058b5f5458ae", + "message": 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+ "signing_randomness": "c106e98b30bd87409e31b6ecd3921fa3b3e3c928555977ed6cabd998b24c3c50", + "sha3_256_hash_of_signature": "51187c2e7b9fb44e1369f2fd346da0c7fdd8d7810c20c0ecb146fb026f305fd8" + }, + { + "key_generation_seed": "bffad5caa054bf763ee85cc13786ade52994cd60266a01ad3e2645a929761e78", + "sha3_256_hash_of_verification_key": "83d185ea7972d914974fae087db0a243f4bb4e9292bf5998d4a3858d116a048e", + "sha3_256_hash_of_signing_key": "03d3107ad98279bf5787fe2b9432af6d215d979b557ddd4250b570d033adc878", + "message": 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+ "signing_randomness": "15d6133beb932af2c527522c43a030e039f6a7d49f481ba8aac36668442fbab5", + "sha3_256_hash_of_signature": "9d9daf7ed3c26777e702c1f37bd993da20ac798de3958c49b0734012ab7d4006" + }, + { + "key_generation_seed": "b4dd4881d207dbbd2e1750e6c6f68ca44450f66d57f77e14ca6cecbc6f9d7ef6", + "sha3_256_hash_of_verification_key": "8981126b4aad30c70d53f790f78fffd09751e6c8badf44e44a208aed615ed4e6", + "sha3_256_hash_of_signing_key": "178043db396de2397fb80ac07006572345f7a006684cc26f57a01858746348b0", + "message": 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+ "signing_randomness": "07b5995b5d7cc6c96f3873df379b3fb03dc45e7ba208169a0355038e93e71dbb", + "sha3_256_hash_of_signature": "b28223584cb128543cc873195f9b072b5e0643b367a8a727a409632e23b1d220" + }, + { + "key_generation_seed": "df59f04e6a1253c389415ccb66fccede632e8189da6687e01171786fb573baac", + "sha3_256_hash_of_verification_key": "609a0685ed42abdc7b6987f5057953f647277e98925fc5d9e92ee02590a0b0ca", + "sha3_256_hash_of_signing_key": "71ede500df0dae7b88c49deae3e38237c52e329fb34a5921404fb4e402ec7e5a", + "message": 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+ "signing_randomness": "f75925f0b18e3a950bd6a168524d43e0d75d4059db7cad3847dc08a32cc0b206", + "sha3_256_hash_of_signature": "d07c17497171aedf6377d102932fbde18b22454bead7c4cc1e912e8e657f1780" + }, + { + "key_generation_seed": "c8691ae7082fed825f0662cc3e406779989ea7643134204ba803c679bc2c5c64", + "sha3_256_hash_of_verification_key": "6a5ebeb02670354407747d518c54f8892707484f61fb4b587e5e3d4db668117d", + "sha3_256_hash_of_signing_key": "b2d58926079dd49aabceb75b99b2968d8f48ab5485677a601cd1d1833301e3c3", + "message": 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+ "signing_randomness": "dd2e5257a320716053a56553731da0a7f3a697758e78bede05134bff7e80aa03", + "sha3_256_hash_of_signature": "5f36e0a2205e4c809fae06355445526bf3fff9b17631df1dc2de497ac9044038" + }, + { + "key_generation_seed": "5f20bce43b513455e44f57b259f0afe232d329cb8028078196b638a53942fb49", + "sha3_256_hash_of_verification_key": "d1fd3c10e3d51dd1544243d1dc534f6a3fb12d5ae8f0a1964470b48e2355b57d", + "sha3_256_hash_of_signing_key": "e47d4ca32b91d79395b02906fc75cf63caa9a1ac75cff0c4cd02c2ab5e6b293b", + "message": 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+ "signing_randomness": "96b7e0c1d8ace64440c8d630d6940ac7f33d9915aafe35894a9f5da6d45fb63e", + "sha3_256_hash_of_signature": "f26f81b984415b13d5956b0b41a58f70fe3b18eff73ed1343a4495d696aa7ccc" + }, + { + "key_generation_seed": "4290bc081865339e51d91cc43249bd336b96a66d7d86d2dbca72b3dd5d4503b8", + "sha3_256_hash_of_verification_key": "3761ad041ecb7e245cf9cecad5e45ab096e3a03600678b10785decc105a1cdd5", + "sha3_256_hash_of_signing_key": "6f086d27b39de6ac43b79d9583363874d82c9f6cebcd142bf89cfe85121950b2", + "message": 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+ "signing_randomness": "59edcff6d0d87166f1d6d28b88d3e766aa3872b9a38b355c95444b9c6f4d8c6a", + "sha3_256_hash_of_signature": "277adaafbe1ca28a9e29b9b3e0456bb80a795415e7845e8434fdc0132e016daf" + }, + { + "key_generation_seed": "b307d466afdb78092fc34637994adbf7303940b738c86e9ea5ca5e406e781573", + "sha3_256_hash_of_verification_key": "2b84354ce76d67a731859f3d24693f7eee58d8c833ae74776ccbf944099d82b2", + "sha3_256_hash_of_signing_key": "c4d78fadb8c9ef184482677c34ab321cb588ac945e23bb45ee1325e2a854bc70", + "message": 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+ "signing_randomness": "186ffc95a751cde6f978bdc898232122b34349dc4627e18b620b5f52bf388199", + "sha3_256_hash_of_signature": "34995d1bc306830ee18b9a0b63e52922bcc6060f1bc8d2fea1be2bfbde51f168" + }, + { + "key_generation_seed": "eddd82667924c1381f1f8947f987a864ac93e300d43037272310f063f2463919", + "sha3_256_hash_of_verification_key": "8ce022e2f2d28946d7fa6d1f3e8dd0644b33b29c1fe00c1b4fdf75e424f82177", + "sha3_256_hash_of_signing_key": "89c9269f238f5f2542e07aeda056a52d1998032d5c4ae8e4e50c594370663c6f", + "message": 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+ "signing_randomness": "ead75c886ceef28dfd40ef800b58c28080943093ec37a6ded1209dd4dbc34466", + "sha3_256_hash_of_signature": "d9eb4aeb36e4487860043a44c48b3d9ad52a30cac6a848913a0313c605f96f8d" + }, + { + "key_generation_seed": "6da8c67de5e438684df21655b4d7bcfa6c15451680198e37027376f49997b2ea", + "sha3_256_hash_of_verification_key": "345aeae2ab0e2219bff438fd592054452883a220700fa5e126f1b4d9dcad1994", + "sha3_256_hash_of_signing_key": "742f2047462c4be2f8ef98cd9b401ed4173ac90886bcc3b2d4fbc844b6e9ac28", + "message": 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+ "signing_randomness": "b601b13f98b356793b80f8ed5dfb2c697e9461fed588f97cc8918a73235ed4e8", + "sha3_256_hash_of_signature": "bf99daa5a12131ad4db426677d4c7c1ade5279b5ec5c50e2d9b8e5600453be39" + }, + { + "key_generation_seed": "dda822423451f9e9ab16172a713fca032f88d97be89f28d06233ddbe5707696e", + "sha3_256_hash_of_verification_key": "efad08cb6076c53d6a714ab064221b899702ff29898b6657c4b0d773cb3d22e8", + "sha3_256_hash_of_signing_key": "5ce6523d74485d449032049d2b3c3ac0d32d5ff1a02456f8cb2f1fb08ad9e2ef", + "message": 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+ "signing_randomness": "b970784abf683f0e0420fdec3909a2c7f71fcc586dde7d385d6e3897f2ae0ec3", + "sha3_256_hash_of_signature": "1e197168997371364077f7478b916d8e77a7fd23b6e8e0d448f6bc874eed7a80" + }, + { + "key_generation_seed": "2ec2409bde225e0facfbcfde86bf10128d237edd2dca1d3d61252ab4fd1f13fe", + "sha3_256_hash_of_verification_key": "1cc1defd8e869169a1a2ee802292f84776a8663202b5adc88098d1ea12b98f6f", + "sha3_256_hash_of_signing_key": "140631bdef3df0cf7cdfefef10443851aee58e6e8afad8192240695889f01cb6", + "message": 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+ "signing_randomness": "0ec7b35aa64b6a1f971b001c9602ac9eb50bac952bc7dec4f0061ffc3b527f59", + "sha3_256_hash_of_signature": "e1eeeebd874dfc6b6cd8ce0a87ca473d9f61b920cc5a09752d1648dd53e86ba8" + }, + { + "key_generation_seed": "27d52713e1a3cfd844b95c52f55be100e5bbec95a9c8613b8851ade423aa696d", + "sha3_256_hash_of_verification_key": "e136b8e9987140eb3ea12a5eba9e28a3d4cf187f356a4d268838e11b4c506af1", + "sha3_256_hash_of_signing_key": "6f15809b00d8b639e85905f46271d1319596cbb0f57424182664bbdd728fb545", + "message": 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+ "signing_randomness": "5767c756a23d44bb5f75403068d544a5660a3c08d532681f6bee88eb40bdd500", + "sha3_256_hash_of_signature": "fe3d39a4280b40108f58bb56af27c8d2aecefb0ea97eea8a4ee5bcc23f79112e" + }, + { + "key_generation_seed": "358891f7c339d1758ef62a03b32e8f33fb4fc20de016ae7db95895a8899da3f6", + "sha3_256_hash_of_verification_key": "d69091a622941e805b4888f6b2efe8f207878ef491feb5b2f5f075081736eb35", + "sha3_256_hash_of_signing_key": "0cc90148b5dfc2b80d1a351d86c8bd7095d14da871dca79b0550fb80ff442eed", + "message": 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+ "signing_randomness": "3e03e13041a84805747e33164c8137775e4bff83fa890780c8b7fc1a64632e1b", + "sha3_256_hash_of_signature": "dcc2bf9c86884e0bdb895067dd3e50cfff8faf51ee775e4563d7ba6f6452154d" + }, + { + "key_generation_seed": "05de1d0ee941e40e1c9205ae6dae9d369140ffae9702aee6f11651c506b11344", + "sha3_256_hash_of_verification_key": "b3e7227c3f8394898fc03f43721910d404cf9d60483f36aa568808c276592cb1", + "sha3_256_hash_of_signing_key": "8c714024161f4d8f74aa034c5adad72b3545fa378f7f2e25070253b3389626c2", + "message": 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+ "signing_randomness": "c899363ae4eb798d0348c965408a0d758a9c12d9b00153d04eaec8687ca38094", + "sha3_256_hash_of_signature": "0af7210477013843c449ea6628a66f362e34b2155c3cc27e933acdfb126c0450" + }, + { + "key_generation_seed": "16c92f48a9fd1c861da011a2ebbb11f0ea21edc5841b2e28935ed2ab96963dcf", + "sha3_256_hash_of_verification_key": "a3010162e2df35accc09c11077acc1182a989e2d54a032355e139a949cdf39a5", + "sha3_256_hash_of_signing_key": "129e99b9a864ca1c8fb3e6d71c22060987b6edd0062eaa39101a5912eb5da032", + "message": 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+ "signing_randomness": "58c4d1293a61e86e921cde1b66fb526a2364effec4805784c32f64de5322e87e", + "sha3_256_hash_of_signature": "07a47516db64e1aaee442da08ad9d26d48032c78fedd2e7740090a90c28652f9" + }, + { + "key_generation_seed": "d244a31b58a5f76e734ae8731e760f8c0a3e456d3cade0dac131dc543514b0e6", + "sha3_256_hash_of_verification_key": "000bdc02aa6b865b6f117e40583a75d5dec7d4e1dcbaf87218af23da5f80cada", + "sha3_256_hash_of_signing_key": "e324671f47770b826a1cd21ffc8850fa149865865808d30ddc7b735acdb8da42", + "message": 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+ "signing_randomness": "53eb0d294290e01e5319f8c3702ca6bf5c997c8f364dbfd78bc3f0a98beda6e2", + "sha3_256_hash_of_signature": "a67866ed340d116ecd6c370f6bb1843758526be444274b35774ad5c81e3cf721" + }, + { + "key_generation_seed": "055a2b75209a64e5a79957c97faec4736df654f1053c052bd539ab1376932075", + "sha3_256_hash_of_verification_key": "dec8486c824c3f9d174c63a3c4c56e71abaccdae9d4558c290e1e1bf2ce8fc58", + "sha3_256_hash_of_signing_key": "57cb5813d10b1e071f5b642e278dde13feeffa3d3d88a063593621b69746920d", + "message": 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+ "signing_randomness": "399f2d7d0512d5a897ddc4235a50365d7948e1896756ae39434b4836c850d8cd", + "sha3_256_hash_of_signature": "1f08c6414383b74fa0a4017e436a627ae5ae423941021045384da1183bd71558" + } +] \ No newline at end of file