From 67928b7efac4530fbe8ebb6e9b09117c52c33a48 Mon Sep 17 00:00:00 2001 From: root Date: Mon, 9 Aug 2021 16:30:59 +0100 Subject: [PATCH] pot, rak, quintec crypto --- crypto/A3S/solve.sage | 170 ++++++ crypto/A3S/src/a3s.py | 282 ++++++++++ crypto/A3S/src/challenge.txt | 2 + crypto/A3S/src/help.pdf | Bin 0 -> 259802 bytes crypto/SSS/src/Dockerfile | 23 + crypto/SSS/src/build.sh | 4 + crypto/SSS/src/ctf.xinetd | 17 + crypto/SSS/src/flag.txt | 1 + crypto/SSS/src/stingy.py | 24 + crypto/mini-A3S/solution.ipynb | 986 +++++++++++++++++++++++++++++++++ crypto/mini-A3S/src/help.pdf | Bin 0 -> 259802 bytes crypto/mini-A3S/src/mini.py | 286 ++++++++++ crypto/mini-A3S/src/output.txt | 2 + crypto/minigen/solve.py | 11 + crypto/minigen/src/f | 1 + crypto/minigen/src/minigen.py | 2 + crypto/minigen/src/output.txt | 1 + crypto/rotoRSA/solve.sage | 15 + crypto/rotoRSA/src/Dockerfile | 23 + crypto/rotoRSA/src/build.sh | 4 + crypto/rotoRSA/src/ctf.xinetd | 17 + crypto/rotoRSA/src/flag.txt | 1 + crypto/rotoRSA/src/source.py | 45 ++ 23 files changed, 1917 insertions(+) create mode 100644 crypto/A3S/solve.sage create mode 100644 crypto/A3S/src/a3s.py create mode 100644 crypto/A3S/src/challenge.txt create mode 100644 crypto/A3S/src/help.pdf create mode 100644 crypto/SSS/src/Dockerfile create mode 100755 crypto/SSS/src/build.sh create mode 100644 crypto/SSS/src/ctf.xinetd create mode 100644 crypto/SSS/src/flag.txt create mode 100644 crypto/SSS/src/stingy.py create mode 100644 crypto/mini-A3S/solution.ipynb create mode 100644 crypto/mini-A3S/src/help.pdf create mode 100644 crypto/mini-A3S/src/mini.py create mode 100644 crypto/mini-A3S/src/output.txt create mode 100644 crypto/minigen/solve.py create mode 100644 crypto/minigen/src/f create mode 100644 crypto/minigen/src/minigen.py create mode 100644 crypto/minigen/src/output.txt create mode 100644 crypto/rotoRSA/solve.sage create mode 100644 crypto/rotoRSA/src/Dockerfile create mode 100755 crypto/rotoRSA/src/build.sh create mode 100644 crypto/rotoRSA/src/ctf.xinetd create mode 100644 crypto/rotoRSA/src/flag.txt create mode 100644 crypto/rotoRSA/src/source.py diff --git a/crypto/A3S/solve.sage b/crypto/A3S/solve.sage new file mode 100644 index 0000000..b5ead36 --- /dev/null +++ b/crypto/A3S/solve.sage @@ -0,0 +1,170 @@ +''' +Section [1] +''' +F. = GF(3^3, modulus=x^3 + x^2 + 2) +SBOX = (6, 25, 17, 11, 0, 19, 22, 14, 3, 4, 23, 12, 15, 7, 26, 20, 9, 1, 2, 18, 10, 13, 5, 21, 24, 16, 8) + +def sbrr(sbox): + for i in range(27): + for j in range(27): + ii, jj = F.fetch_int(i), F.fetch_int(j) + test = [(F.fetch_int(x)*ii + jj).integer_representation() for x in range(27)] + if tuple(test) == tuple(sbox): + return ii, jj + + +grad, offset = sbrr(SBOX) # (2*a^2 + 1, 2*a) +print(grad, offset) + +''' +Section [2] +''' +def mald(tup, a, b): + out = 0 + for i, j in enumerate(tup): + out2 = 0 + for k, l in enumerate(j): + out2 += l*a^k + out += out2*b^i + return out + +def unmald(pol): + return tuple(tuple(i.polynomial().list()) for i in pol.list()) + +G. = PolynomialRing(F) +mm = ((2, 0, 1), (1, 2, 0), (0, 2, 1), (2, 0, 1)) +MM = mald(mm, a, b) +H. = G.quotient(MM) # Setting up for mix columns + +cc = ((1, 2, 0), (2, 0, 1), (1, 1, 1)) +CC = mald(cc, a, c) +DD = CC.inverse_mod(MM) +assert CC*DD == 1 + +R = PolynomialRing(H, 'v', 29*9) # Tryte values for the inputs of the equation +VV = R.gens() + + +def add(a, b): + return [i + j for i, j in zip(a, b)] + +def sub(a, x, y): + return [x*i + y for i in a] + +def mix(a): + b = [0 for _ in range(9)] + for i in range(3): + we = a[i::3] + we = we[0] + we[1]*c + we[2]*c^2 + we *= CC + tt = [0, 0, 0] + for j, k in zip(we.coefficients(), we.monomials()): + tt = add(tt, [l*k for l in j.list()]) + b[i::3] = tt + return b + +def row(a): + return [a[i] for i in (0, 1, 2, 4, 5, 3, 8, 6, 7)] + +def gen_eq(): + kek = VV[28*9:29*9] + kek = add(kek, VV[:9]) + + for i in range(9, 27*9, 9): + kek = sub(kek, grad, offset) + kek = row(kek) + kek = mix(kek) + kek = add(kek, VV[i:i+9]) + + kek = sub(kek, grad, offset) + kek = row(kek) + kek = add(kek, VV[27*9:28*9]) + + return kek + +eq = gen_eq() +print(eq) + +''' +Section [3] +''' + +int_to_byt = lambda x: int(x).to_bytes((int(x).bit_length() + 7) // 8, "big") +byt_to_int = lambda x: int.from_bytes(x, byteorder="big") + +def itt(a): + b = Integer(a).str(3)[::-1] + c = [int(x) for x in b] + d = c + [0] * (27-len(c)) + e = [F(d[i:i+3]) for i in range(0, len(d), 3)] + return e + +def tti(a): + b = 0 + for i in a[::-1]: + b *= 27 + b += i.integer_representation() + return b + +cc = str(eq) # need to reformat later to remove the mix columns layer + +G = PolynomialRing(F, "v", 29*9) +G.inject_variables() +VV = G.gens() + +inp = b"sus." +out = b'\x06\x0f"\x02\x8e\xd1' + +inp1 = itt(byt_to_int(inp)) +out1 = itt(byt_to_int(out)) + +out22 = itt(byt_to_int(b'\x01\x00\xc9\xe9m=\r\x07x\x04\xab\xd3]\xd3\xcd\x1a\x8e\xaa\x87;<\xf1[\xb8\xe0%\xec\xdb*D\xeb\x10\t\xa0\xb9.\x1az\xf0%\xdc\x16z\x12$0\x17\x8d1')) +out2 = [out22[i:i+9] for i in range(0, len(out22), 9)] # split into chunks + +def sub(inp1=None, out1=None): + work = cc + if inp1: + for i in range(28*9, 29*9): + j = i % 28 + work = work.replace(f"v{i}", f"({inp1[j]})") + + work = work.replace("^", "**") + + if out1: + return [j - out1[i] for i, j in enumerate(eval(work))] + return eval(work) + +def pseudo_enc(pair, inp2): + inp1, out1 = pair + dd = sub(inp1, out1) + ee = sub(inp2) + ff = [j - i for i, j in zip(dd, ee)] + print(ff) + ff = [F(i) for i in ff] + print(int_to_byt(tti(ff))) + +def psuedo_dec(pair, out2): + solver = PolynomialRing(F, [f"u{i}" for i in range(28*9, 29*9)]) + inp1, out1 = pair + dd = sub(inp1, out1) + zz = sub(out1=out2) + ff = [j - i for i, j in zip(dd, zz)] + print(ff) + gg = Ideal(*[solver(str(i).replace("v", "u")) for i in ff]) + + print(gg.dimension()) # check for solutions + out = [] + try: # incase too many solutions + for i in gg.variety(): + for j in solver.gens(): + out.append(i[j]) + except Exception as e: + print(e) + + return int_to_byt(tti(out)) + +yum = [] +for out in out2: + stu = psuedo_dec((inp1, out1), out) + yum += itt(byt_to_int(stu)) +print(int_to_byt(tti(yum))) diff --git a/crypto/A3S/src/a3s.py b/crypto/A3S/src/a3s.py new file mode 100644 index 0000000..26828a5 --- /dev/null +++ b/crypto/A3S/src/a3s.py @@ -0,0 +1,282 @@ +''' +Base-3 AES + +Just use SAGE lmao +''' + +T_SIZE = 3 # Fixed trits in a tryte +W_SIZE = 3 # Fixed trytes in a word (determines size of matrix) +POLY = (2, 0, 1, 1) # Len = T_SIZE + 1 + +POLY2 = ((2, 0, 1), (1, 2, 0), (0, 2, 1), (2, 0, 1)) # Len = W_SIZE + 1 +CONS = ((1, 2, 0), (2, 0, 1), (1, 1, 1)) # Len = W_SIZE +I_CONS = ((0, 0, 2), (2, 2, 1), (2, 2, 2)) # Inverse of CONS (mod POLY2) + +# Secure enough ig +SBOX = (6, 25, 17, 11, 0, 19, 22, 14, 3, 4, 23, 12, 15, 7, 26, 20, 9, 1, 2, 18, 10, 13, 5, 21, 24, 16, 8) + +KEYLEN = 28 + +def up(array, size, filler): # If only there was APL in python :pensiv: + ''' Groups up things in a tuple based on size ''' + l = len(array) + array += (filler,) * (-l % size) + return tuple([array[i:i + size] for i in range(0, l, size)]) + +def down(array): + ''' Ungroups objects in tuple ''' + return sum(array, ()) + +def look(array): + if type(array) is int: + return array + while type(array[0]) is not int: + array = down(array) + return sum(array) + +def clean(array): + while len(array) > 1: + if look(array[-1]): + break + array = array[:-1] + return tuple(array) + +def int_to_tri(num): # positive only + out = [] + while num: + num, trit = divmod(num, 3) + out.append(trit) + return tuple(out) if out else (0,) + +def tri_to_int(tri): + out = 0 + for i in tri[::-1]: + out *= 3 + out += i + return out + +tri_to_tyt = lambda tri: up(tri, T_SIZE, 0) +tyt_to_tri = lambda tyt: down(tyt) + +int_to_tyt = lambda num: tri_to_tyt(int_to_tri(num)) +tyt_to_int = lambda tyt: tri_to_int(down(tyt)) + +tyt_to_wrd = lambda tyt: up(tyt, W_SIZE, (0,) * T_SIZE) +wrd_to_tyt = lambda wrd: down(wrd) + +def apply(func, filler=None): # scale up operations (same len only) + def wrapper(a, b): + return tuple(func(i, j) for i, j in zip(a, b)) + return wrapper + +xor = lambda a, b: (a + b) % 3 +uxor = lambda a, b: (a - b) % 3 +t_xor = apply(xor) +t_uxor = apply(uxor) +T_xor = apply(t_xor) +T_uxor = apply(t_uxor) +W_xor = apply(T_xor) +W_uxor = apply(T_uxor) + +def tri_mul(A, B): + c = [0] * len(B) + for a in A[::-1]: + c = [0] + c + x = tuple(b * a % 3 for b in B) + c[:len(x)] = t_xor(c, x) # wtf slice assignment exists??? + return clean(c) + +def tri_divmod(A, B): + B = clean(B) + A2 = list(A) + c = [0] + while len(A2) >= len(B): + c = [0] + c + while A2[-1]: + A2[-len(B):] = t_uxor(A2[-len(B):], B) + c[0] = xor(c[0], 1) + A2.pop() + return clean(c), clean(A2) if sum(A2) else (0,) + +def tri_mulmod(A, B, mod=POLY): + c = [0] * (len(mod) - 1) + for a in A[::-1]: + c = [0] + c + x = tuple(b * a % 3 for b in B) + c[:len(x)] = t_xor(c, x) # wtf slice assignment exists??? + while c[-1]: + c[:] = t_xor(c, mod) + c.pop() + return tuple(c) + +def egcd(a, b): + x0, x1, y0, y1 = (0,), (1,), b, a + while sum(y1): + q, _ = tri_divmod(y0, y1) + u, v = tri_mul(q, y1), tri_mul(q, x1) + x0, y0 = x0 + (0,) * len(u), y0 + (0,) * len(v) + y0, y1 = y1, clean(t_uxor(y0, u) + y0[len(u):]) + x0, x1 = x1, clean(t_uxor(x0, v) + x0[len(v):]) + return x0, y0 + +def modinv(a, m=POLY): + _, a = tri_divmod(a, m) + x, y = egcd(a, m) + if len(y) > 1: + raise Exception('modular inverse does not exist') + return tri_divmod(x, y)[0] + +def tyt_mulmod(A, B, mod=POLY2, mod2=POLY): + fil = [(0,) * T_SIZE] + C = fil * (len(mod) - 1) + for a in A[::-1]: + C = fil + C + x = tuple(tri_mulmod(b, a, mod2) for b in B) + C[:len(x)] = T_xor(C, x) + + num = modinv(mod[-1], mod2) + num2 = tri_mulmod(num, C[-1], mod2) + x = tuple(tri_mulmod(m, num2, mod2) for m in mod) + C[:len(x)] = T_uxor(C, x) + + C.pop() + return C + +''' +AES functions +''' + +int_to_byt = lambda x: x.to_bytes((x.bit_length() + 7) // 8, "big") +byt_to_int = lambda x: int.from_bytes(x, byteorder="big") + +def gen_row(size = W_SIZE): + out = () + for i in range(size): + row = tuple(list(range(i * size, (i + 1) * size))) + out += row[i:] + row[:i] + return out + +SHIFT_ROWS = gen_row() +UN_SHIFT_ROWS = tuple([SHIFT_ROWS.index(i) for i in range(len(SHIFT_ROWS))]) + +def rot_wrd(tyt): # only 1 word so treat as tyt array + return tyt[1:] + tyt[:1] + +def sub_wrd(tyt): + return tuple(int_to_tyt(SBOX[tri_to_int(tri)])[0] for tri in tyt) + +def u_sub_wrd(tyt): + return tuple(int_to_tyt(SBOX.index(tri_to_int(tri)))[0] for tri in tyt) + +def rcon(num): # num gives number of constants given + out = int_to_tyt(1) + for _ in range(num - 1): + j = (0,) + out[-1] + while j[-1]: # xor until back in finite field + j = t_xor(j, POLY) + out += (j[:T_SIZE],) + return out + +def expand(tyt): + words = tyt_to_wrd(tyt) + size = len(words) + rnum = size + 3 + rcons = rcon(rnum * 3 // size) + + for i in range(size, rnum * 3): + k = words[i - size] + l = words[i - 1] + if i % size == 0: + s = sub_wrd(rot_wrd(l)) + k = T_xor(k, s) + k = (t_xor(k[0], rcons[i // size - 1]),) + k[1:] + else: + k = T_xor(k, l) + words = words + (k,) + + return up(down(words[:rnum * 3]), W_SIZE ** 2, int_to_tyt(0)[0]) + +def mix_columns(tyt, cons=CONS): + tyt = list(tyt) + for i in range(W_SIZE): + tyt[i::W_SIZE] = tyt_mulmod(tyt[i::W_SIZE], cons) + return tuple(tyt) + +def a3s(msg, key): + m = byt_to_int(msg) + k = byt_to_int(key) + m = up(int_to_tyt(m), W_SIZE ** 2, int_to_tyt(0)[0])[-1] # Fixed block size + k = int_to_tyt(k) + keys = expand(k) # tryte array + assert len(keys) == KEYLEN + + ctt = T_xor(m, keys[0]) + + for r in range(1, len(keys) - 1): + ctt = sub_wrd(ctt) # SUB... + ctt = tuple([ctt[i] for i in SHIFT_ROWS]) # SHIFT... + ctt = mix_columns(ctt) # MIX... + ctt = T_xor(ctt, keys[r]) # ADD! + + ctt = sub_wrd(ctt) + ctt = tuple([ctt[i] for i in SHIFT_ROWS]) + ctt = T_xor(ctt, keys[-1]) # last key + + ctt = tyt_to_int(ctt) + return int_to_byt(ctt) + +def d_a3s(ctt, key): + c = byt_to_int(ctt) + k = byt_to_int(key) + c = up(int_to_tyt(c), W_SIZE ** 2, int_to_tyt(0)[0])[-1] # Fixed block size + k = int_to_tyt(k) + keys = expand(k)[::-1] # tryte array + assert len(keys) == KEYLEN + + msg = c + msg = T_uxor(msg, keys[0]) + + for r in range(1, len(keys) - 1): + msg = tuple([msg[i] for i in UN_SHIFT_ROWS]) # UN SHIFT... + msg = u_sub_wrd(msg) # UN SUB... + msg = T_uxor(msg, keys[r]) # UN ADD... + msg = mix_columns(msg, I_CONS) # UN MIX! + + msg = tuple([msg[i] for i in UN_SHIFT_ROWS]) + msg = u_sub_wrd(msg) + msg = T_uxor(msg, keys[-1]) # last key + + msg = tyt_to_int(msg) + return int_to_byt(msg) + +def chunk(c): + c = byt_to_int(c) + c = up(int_to_tyt(c), W_SIZE ** 2, int_to_tyt(0)[0]) + x = tuple(tyt_to_int(i) for i in c) + x = tuple(int_to_byt(i) for i in x) + return x + +def unchunk(c): + out = [] + for i in c: + j = byt_to_int(i) + j = up(int_to_tyt(j), W_SIZE ** 2, int_to_tyt(0)[0]) + assert len(j) == 1 + out.append(j[0]) + out = down(out) + out = tyt_to_int(out) + return int_to_byt(out) + +def gen(): + flag, key = eval(open("secret.txt", "r").read()) + + out = [] + for i in chunk(flag): + out.append(a3s(i, key)) + + with open("challenge.txt", "w+") as f: + f.write(f'Encryption of "sus.": {a3s(b"sus.", key)}' + "\n") + f.write(f"Encryption of the flag: {unchunk(out)}" + "\n") + +if __name__ == "__main__": + gen() diff --git a/crypto/A3S/src/challenge.txt b/crypto/A3S/src/challenge.txt new file mode 100644 index 0000000..2aee99d --- /dev/null +++ b/crypto/A3S/src/challenge.txt @@ -0,0 +1,2 @@ +Encryption of "sus.": b'\x06\x0f"\x02\x8e\xd1' +Encryption of the flag: b'\x01\x00\xc9\xe9m=\r\x07x\x04\xab\xd3]\xd3\xcd\x1a\x8e\xaa\x87;<\xf1[\xb8\xe0%\xec\xdb*D\xeb\x10\t\xa0\xb9.\x1az\xf0%\xdc\x16z\x12$0\x17\x8d1' diff --git 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SAGE lmao +''' + +T_SIZE = 3 # Fixed trits in a tryte +W_SIZE = 3 # Fixed trytes in a word (determines size of matrix) +POLY = (2, 0, 1, 1) # Len = T_SIZE + 1 + +POLY2 = ((2, 0, 1), (1, 2, 0), (0, 2, 1), (2, 0, 1)) # Len = W_SIZE + 1 +CONS = ((1, 2, 0), (2, 0, 1), (1, 1, 1)) # Len = W_SIZE +I_CONS = ((0, 0, 2), (2, 2, 1), (2, 2, 2)) # Inverse of CONS (mod POLY2) + +# Secure enough ig +SBOX = (9, 10, 11, 1, 2, 0, 20, 18, 19, 3, 4, 5, 22, 23, 21, 14, 12, 26, 24, 25, 13, 16, 17, 15, 8, 6, 7) + +KEYLEN = 8 + +def up(array, size, filler): # If only there was APL in python :pensiv: + ''' Groups up things in a tuple based on size ''' + l = len(array) + array += (filler,) * (-l % size) + return tuple([array[i:i + size] for i in range(0, l, size)]) + +def down(array): + ''' Ungroups objects in tuple ''' + return sum(array, ()) + +def look(array): + if type(array) is int: + return array + while type(array[0]) is not int: + array = down(array) + return sum(array) + +def clean(array): + while len(array) > 1: + if look(array[-1]): + break + array = array[:-1] + return tuple(array) + +def int_to_tri(num): # positive only + out = [] + while num: + num, trit = divmod(num, 3) + out.append(trit) + return tuple(out) if out else (0,) + +def tri_to_int(tri): + out = 0 + for i in tri[::-1]: + out *= 3 + out += i + return out + +tri_to_tyt = lambda tri: up(tri, T_SIZE, 0) +tyt_to_tri = lambda tyt: down(tyt) + +int_to_tyt = lambda num: tri_to_tyt(int_to_tri(num)) +tyt_to_int = lambda tyt: tri_to_int(down(tyt)) + +tyt_to_wrd = lambda tyt: up(tyt, W_SIZE, (0,) * T_SIZE) +wrd_to_tyt = lambda wrd: down(wrd) + +def apply(func, filler=None): # scale up operations (same len only) + def wrapper(a, b): + return tuple(func(i, j) for i, j in zip(a, b)) + return wrapper + +xor = lambda a, b: (a + b) % 3 +uxor = lambda a, b: (a - b) % 3 +t_xor = apply(xor) +t_uxor = apply(uxor) +T_xor = apply(t_xor) +T_uxor = apply(t_uxor) +W_xor = apply(T_xor) +W_uxor = apply(T_uxor) + +def tri_mul(A, B): + c = [0] * len(B) + for a in A[::-1]: + c = [0] + c + x = tuple(b * a % 3 for b in B) + c[:len(x)] = t_xor(c, x) # wtf slice assignment exists??? + return clean(c) + +def tri_divmod(A, B): + B = clean(B) + A2 = list(A) + c = [0] + while len(A2) >= len(B): + c = [0] + c + while A2[-1]: + A2[-len(B):] = t_uxor(A2[-len(B):], B) + c[0] = xor(c[0], 1) + A2.pop() + return clean(c), clean(A2) if sum(A2) else (0,) + +def tri_mulmod(A, B, mod=POLY): + c = [0] * (len(mod) - 1) + for a in A[::-1]: + c = [0] + c + x = tuple(b * a % 3 for b in B) + c[:len(x)] = t_xor(c, x) # wtf slice assignment exists??? + while c[-1]: + c[:] = t_xor(c, mod) + c.pop() + return tuple(c) + +def egcd(a, b): + x0, x1, y0, y1 = (0,), (1,), b, a + while sum(y1): + q, _ = tri_divmod(y0, y1) + u, v = tri_mul(q, y1), tri_mul(q, x1) + x0, y0 = x0 + (0,) * len(u), y0 + (0,) * len(v) + y0, y1 = y1, clean(t_uxor(y0, u) + y0[len(u):]) + x0, x1 = x1, clean(t_uxor(x0, v) + x0[len(v):]) + return x0, y0 + +def modinv(a, m=POLY): + _, a = tri_divmod(a, m) + x, y = egcd(a, m) + if len(y) > 1: + raise Exception('modular inverse does not exist') + return tri_divmod(x, y)[0] + +def tyt_mulmod(A, B, mod=POLY2, mod2=POLY): + fil = [(0,) * T_SIZE] + C = fil * (len(mod) - 1) + for a in A[::-1]: + C = fil + C + x = tuple(tri_mulmod(b, a, mod2) for b in B) + C[:len(x)] = T_xor(C, x) + + num = modinv(mod[-1], mod2) + num2 = tri_mulmod(num, C[-1], mod2) + x = tuple(tri_mulmod(m, num2, mod2) for m in mod) + C[:len(x)] = T_uxor(C, x) + + C.pop() + return C + +''' +AES functions +''' + +int_to_byt = lambda x: x.to_bytes((x.bit_length() + 7) // 8, "big") +byt_to_int = lambda x: int.from_bytes(x, byteorder="big") + +def gen_row(size = W_SIZE): + out = () + for i in range(size): + row = tuple(list(range(i * size, (i + 1) * size))) + out += row[i:] + row[:i] + return out + +SHIFT_ROWS = gen_row() +UN_SHIFT_ROWS = tuple([SHIFT_ROWS.index(i) for i in range(len(SHIFT_ROWS))]) + +def rot_wrd(tyt): # only 1 word so treat as tyt array + return tyt[1:] + tyt[:1] + +def sub_wrd(tyt): + return tuple(int_to_tyt(SBOX[tri_to_int(tri)])[0] for tri in tyt) + +def u_sub_wrd(tyt): + return tuple(int_to_tyt(SBOX.index(tri_to_int(tri)))[0] for tri in tyt) + +def rcon(num): # num gives number of constants given + out = int_to_tyt(1) + for _ in range(num - 1): + j = (0,) + out[-1] + while j[-1]: # xor until back in finite field + j = t_xor(j, POLY) + out += (j[:T_SIZE],) + return out + +def expand(tyt): + words = tyt_to_wrd(tyt) + size = len(words) + rnum = size + 3 + rcons = rcon(rnum * 3 // size) + + for i in range(size, rnum * 3): + k = words[i - size] + l = words[i - 1] + if i % size == 0: + s = sub_wrd(rot_wrd(l)) + k = T_xor(k, s) + k = (t_xor(k[0], rcons[i // size - 1]),) + k[1:] + else: + k = T_xor(k, l) + words = words + (k,) + + return up(down(words[:rnum * 3]), W_SIZE ** 2, int_to_tyt(0)[0]) + +def mix_columns(tyt, cons=CONS): + tyt = list(tyt) + for i in range(W_SIZE): + tyt[i::W_SIZE] = tyt_mulmod(tyt[i::W_SIZE], cons) + return tuple(tyt) + +def a3s(msg, key): + m = byt_to_int(msg) + k = byt_to_int(key) + m = up(int_to_tyt(m), W_SIZE ** 2, int_to_tyt(0)[0])[-1] # Fixed block size + k = int_to_tyt(k) + keys = expand(k) # tryte array + assert len(keys) == KEYLEN + + ctt = T_xor(m, keys[0]) + + for r in range(1, len(keys) - 1): + ctt = sub_wrd(ctt) # SUB... + ctt = tuple([ctt[i] for i in SHIFT_ROWS]) # SHIFT... + ctt = mix_columns(ctt) # MIX... + ctt = T_xor(ctt, keys[r]) # ADD! + + ctt = sub_wrd(ctt) + ctt = tuple([ctt[i] for i in SHIFT_ROWS]) + ctt = T_xor(ctt, keys[-1]) # last key + + ctt = tyt_to_int(ctt) + return int_to_byt(ctt) + +def d_a3s(ctt, key): + c = byt_to_int(ctt) + k = byt_to_int(key) + c = up(int_to_tyt(c), W_SIZE ** 2, int_to_tyt(0)[0])[-1] # Fixed block size + k = int_to_tyt(k) + keys = expand(k)[::-1] # tryte array + assert len(keys) == KEYLEN + + msg = c + msg = T_uxor(msg, keys[0]) + + for r in range(1, len(keys) - 1): + msg = tuple([msg[i] for i in UN_SHIFT_ROWS]) # UN SHIFT... + msg = u_sub_wrd(msg) # UN SUB... + msg = T_uxor(msg, keys[r]) # UN ADD... + msg = mix_columns(msg, I_CONS) # UN MIX! + + msg = tuple([msg[i] for i in UN_SHIFT_ROWS]) + msg = u_sub_wrd(msg) + msg = T_uxor(msg, keys[-1]) # last key + + msg = tyt_to_int(msg) + return int_to_byt(msg) + +def chunk(c): + c = byt_to_int(c) + c = up(int_to_tyt(c), W_SIZE ** 2, int_to_tyt(0)[0]) + x = tuple(tyt_to_int(i) for i in c) + x = tuple(int_to_byt(i) for i in x) + return x + +def unchunk(c): + out = [] + for i in c: + j = byt_to_int(i) + j = up(int_to_tyt(j), W_SIZE ** 2, int_to_tyt(0)[0]) + assert len(j) == 1 + out.append(j[0]) + out = down(out) + out = tyt_to_int(out) + return int_to_byt(out) + +def pad(a): + return a + b"\x00" * (64 - len(a)) + +def byte_xor(a, b): + return bytes([i ^ j for i, j in zip(a, b)]) + +def gen(): + from hashlib import sha512 + flag, key = eval(open("secret.txt", "r").read()) + + hsh = sha512(key).digest() + with open("output.txt", "w+") as f: + f.write(f"Hash(Key) ^ Flag = {byte_xor(hsh, pad(flag))}" + "\n") + f.write(f"Enc(i, Key) for 0..3^9 = {tuple(a3s(int_to_byt(i), key) for i in range(3 ** 9))}") + +if __name__ == "__main__": + gen() diff --git a/crypto/mini-A3S/src/output.txt b/crypto/mini-A3S/src/output.txt new file mode 100644 index 0000000..29ddb94 --- /dev/null +++ b/crypto/mini-A3S/src/output.txt @@ -0,0 +1,2 @@ +Hash(Key) ^ Flag = b"v\x17\xed'\xad:\xa2t\xaf\x8c\x8bT7\x9af\xc0\xf4\x92w\x82WR\xb4md\xafh_\xcc\xe9\xa6d:7f;.\xd0h\xc1\x12DU\x02&\x91Z\xbf\x9a\x05\x08A\xc4\xb9\xde\xed\x90\xda/f\xfd\x07\xf6I" +Enc(i, Key) for 0..3^9 = (b'\x05\xfeG[\xb5)', b'\x01Q\x8c\x98\xe3?', b'\x04t\xa5\x9b\xc5\xf9', b'\x02{\x10K\xad\xf2', b'\x1b!`\x1b\xe5', b'\x03<\xef\xae3\x19', b'\x06w0\xd9\xa8,', b'\x03 \t\xfc\x8c\xf7', b'\x01*\x9fp\xe3\x99', b'\x02\xc5r\xaa\xe6\x1d', b'\x04HM\xd2\x9bO', b'\x04\xf8\xb0jv\xc2', b'\x04\x0e^\xf6\xef\x17', b'\x01^\x1e\x8fX\x94', b'k\x92\x13\xf5O', b'\x01\x87n\x9e\xea\xae', b'\x06\x1e\xc8&\xf1\x9a', b'\x01\xa33]\x95t', b'\x023\\X\xffL', b'\x03\xe0>98\x8a', b'\x03_C\xa8\x8d\x9d', b"\x03\xd5.\xaf\x85'", b'\x02\x00\xe4g\x93\xe0', b'\x01W\x04\x8a\xaf\xeb', b'\x03\xf7\xff:\xaa\x10', b'\x04\x8b\xfba\x9f\xb9', b'\x06JD\xacF\xb8', b'\x04\xde\x9e\xc5\xcf\xdc', b'\x01dm\x01\xbdr', b'\x04\xda\x94O\xb3\xf0', b'\x04\xca]\xec\xf6\xbb', b'\x05\x1e\xc9\xdaKj', b'\x0187\xbc\xefx', b'\x01&\xeb\x9b\x98\xec', b'\x01^\xb7\xf7\xc1\xb8', b'\x05\xef\xa7\xa60e', b'\x06\x0bx\xb3\xc5L', b'\x02\x9d\xab\xc5\xd22', b'\x01\xbe\xd6\xa1qy', b'\x02\x9d\x06l\x80X', b'\x01\x9e\xa6\xd5|*', b'\x02T?\xa1\xdb\xda', b'\x01\x19\xc6\x14\xebk', b'\x01\x8dj~\xd8Y', b"\x04t;\xa1/'", b'\x06\x06>\xe4H\x8a', b'`e\xe6\x9f\xb9', b'\x05\xdc\xf7\r\xd4f', b'\x01\xc5\x1d\x8c)]', b'\x06\x81,\xe8\xb0\xdd', b'\x1e\xcf\x97B\x01', b'\x03\xd6\xbd&\xc01', b'\x04^3\xfaW<', b'\x01M\xeb\xae2\x1d', b'\x04\xfe\x98\xe8\xbd7', b'\x05\x97^\xac\xa8\xc2', b'\x05\xbc\xa9\x85\xd2\t', b'\x03d\x8e=\xff\x89', b'\x03\xb1\xf3\x06a5', b'\x01\xf1\x81\xb6W\xa1', b'\x04\xf0?\xc6\x08U', b'\x06\x1d\x83\xb6bn', b'\x05\xaf\xf5\x85\x01,', b'\x01!_S\r\xe8', b'\x04_\x18\xc4\xf3"', b'\x02\x83"\xba1\xd2', b'\x02\x13m2[\xcd', b'\x05)\xc4^\xd9G', b'\x03V>U\x0b\xf3', b'\x05>\xf8\x96\x0fi', b'\x06\xac\xff\xcf\xbd\xf3', b'\x02W\xf9\x88\x98W', b'\x06\x8f9\xact\xe2', b'\x04\xadmz\xbf\xed', b'\x04\xad\xd6H|\x1c', b'\xcf\x9fa\xcb\x00', b'\x06$}\x95\x1e|', b'\x02A\xa1Xk\x85', b'\x06^\xb2\xb9\x0c\xb8', b'\x02\xbf\xc0\xb3\xa9b', b'\x03\xe2\xea \xcc\xe3', b'\x03\xbe;\x9c\\X', b'\xb1\x14u\x13w', b'\x04\xa3+Z\x97\x81', b'\x021(\x16\xe5\x10', b'\x01\x02\xb7\xa0W\xd7', b"\x02 ~'\x1c\xe9", b'\x06Y$\xf3\xd91', b'\\L\xf9\x0em', b'\x01\x89s\x14\xc1e', b'\xb9\xc9\x04S\x80', b'\x06\xd9\xd6\xa3\xc3\xdf', b'\x019s\xcedH', b'a7N\xd5b', b'\x06lB\x988\xa6', b'\x05)n\x05\xca\xd3', b'\x03\xca\x881\xf3\xc9', b'\x05J\xe3c\n2', b'\x037\xd1\xdd\xe7\xa0', b'\x02W\xfc\x8d\x0c7', b'\x02\x9f\xa0\xcd\x05\xf7', b'\x068\x11\x86\x07\x12', b'\x01\xcb\xe3?\xbcW', b'\x04\xfakDc\x9a', b'\x04\xf9\x84hu\x0f', b'\x06C\xae\xf4`i', b'\x03leV\x1ca', b'\x01\x93\\\xe7b\xc9', b'\x04\xaf_\x05\xbb\x9f', b'\x02\x90p/j\x9a', b'\x02\xfae\x1c\xd8g', b'\x01o\xed@/\xba', b'\x06\n\xb2\xa8n\xe7', b'\x01\xbf\xc6EGp', b'\x01:\x12\x05\x85\x02', b'\x03X\x03\xf7W\xc3', b"\x02\x89'i\x06v", b'\x04\xc9\x83\x13\x1e\xf3', b'\x04\xcf\x07W\xf6q', b'\x05<.\xd3\xbfo', b'\x06\xc9\\\xe1\x8c\xa5', b'\x04iLiA\x12', b'\x06\x99\x8a\xbc\x1d\xa7', b'\x04\xea\xd3F\xa0O', b'\x02\xa4>\xc4\xbcB', b'\x01\xe1\x1f1!\x81', b'\x04\\.\x08\x17i', b'\x01\x0e\x82\xa0\xc69', b'\x04\rVw\x84\xe8', b'\x05O\xd2\xca\xdb\x03', b'\x01\xeb\x9b{\x88\xa5', b'\x06!\x89\xec\x94\x00', b"\x04\x7f\xf3\xe4\xbd'", b'\x03\xdbz\xc5\x87\xd3', b'\x02\x98\x89?Q\xaf', b'\x90\xce\\!;', b'\x03\xdb?\xc3\x13\xde', b'\x03#\x80\xe6\xbfp', b'\x04Y\xc5s\xdd\x8d', b'\x9dt\xe7\x11%', b'\x04\x02\x1cU+\xc9', b'dh\xc9d\xef', b'\x03\xd7\xf6\x12\x8b\x07', b'\xc8$\x99[@', b'\x0e\x87\x07\xaeC', b'\x02\xb6\xc47\xd9\xb7', b'\x01~\xdf\xc4\x1f\xb2', b'\x04U\xcc\xd1\xff\xb9', b'\x03\xe4\xdd\x92l&', b'\x04\xd2\xcc\xba;\xb7', b'\x04\n"\xc0>\xf2', b'\x05*\x984R\xf9', b"\x06\xdd\x15\x15'\x07", b'\x057\x15g\x03\xab', b'\xec..\x1d\x94', b'\xb5\x0b\xb6\x02R', b'\x01~\xe7w\xc2/', b'\x02\xf8\xe5\x8dON', b'\x04J\xf9u\x8do', b'\xff\xf8]\xcc\x88', b'\x02p\x15\x1c\xd3', b'\x02\xfelW\xd3J', b'\xf3R\x8cq\xb7', b'\x04\xfb\x1f\xe4\xd0^', b'\x03\xd4\x1f\xdd\xb8\xeb', b'\x03*f\xca\xc69', b'\x06;\xcc\xc5+\xe4', b'\x052@\xea\xefQ', b'\x05\xceD\xeb\xeb\x0e', b'\x87A#ms', b'\x02-\xb9\xca\x0cd', b'\x01\xbe\xb3v>\x7f', b'\x02\xce\xb0\xf7\xcc\xab', b'\x05e\xf3\xbe\xf6e', b'\r\t\xbb\x0fJ', b'\x01n\xec6\x92+', b'\x03z\x12^\x08~', b'\x06\xa7\xe0\x1c\x90\t', b'\x03\x90\xe4\xe9\xe8\x90', b'\x06F=\xde\xf9u', b'\x05\x95\xe2\xa5B\x1d', b'\x02\xac\xf4Q#\xf5', b'\x015\x94MU\x00', b'\x9177\xc8\xa6', b'\x05\x06\xdb\x18\xce\xaf', b'\x03!3x\x86n', b'be\xe4a=', b'\x06\xb7]\xb9\xc4\xa3', b'\x07\x0f(\xb5<', b'\x05\xd1K\xefE-', b'\x03I\xfd\xaf\xe7\x0f', b'\x06\xd3-\xf3Yp', b'\x99#\x82\x87r', b'\x03Z\xf6wHx', b'\x06\xdb\x0f\x8b.\xda', b'\x04F\xe1|\xc4\x80', b'\x03\xdc\xdbB\xa1\x11', b'\xd2\x84\\Ez', b'\xbe\x86b<\xad', b'\x05h\xdf\x04a5', b'\x05!\x1f\xb0\xb6\x90', b'\x05\x19Uw\x9d\x96', b'\x03\x8a\x9aV\xc9\xda', b'\x06\x8d\xdb\x81\xdb]', b'=\x8d}\xdd+', b'\x02H\td\xb5\x8e', b'\x01\\@\xd8\xdc\x91', b'\x03j\x01M(\x8f', b'\x02\x19\x15\xd2\x16\x02', b'\x05jt\x14\x03\xf7', b'\x03\xd8\xdbq\xfa\xb6', b'\x04\xb0\x1c\xba2\x9e', b'\x06)M\x14\xa1\xda', b'\x05\x85\xcbVt\xac', b'\x02\xd8\x07Nk\xb3', b'\x06\x9fE9\x88V', b'\x02#D\x10\xb7\xb9', b'\x01\xc0?\xc1\x87\x85', b'\x03\xf01\xe9\xdf&', b'\x05\x81\xe8\xa1\x9d\x9a', b'\x06u\xa5\xba\x15\xe7', b'\x055\xf9\x1b\xbc\xe2', b'\x03\xe3\x11u\xa8\xd8', b'\x01fa\x100\x1e', b'mj\x90n\xfd', b'\x02o\x0b\x9b\x9c/', b'\x06\xe6\xeeG\x9a\x9d', b'\x04\xd6\x9e\xa0\xcb\xca', b'\x03\xaaUo\xads', b'\x06h\xa5\xfc\x00\x12', b'\x06^cQ\xf6\xb8', b'\x05\x0f\x92\xc7g4', b'\x02wm\xa6\x86\x11', b'\x01\xfe\x8fy\x00\x81', b'\x02\xd6F\xd6\xee\xb8', 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b'\x01\xea\x10\xcb7\x13', b'\x04\xa0\xean\x8b\x0f', b'\x04<\xc4\x85.\x1a', b'\x01*\xe3ho\x15', b'\x03\xd6\xef\xad\x8f\xe3', b'\x04\xa1\r\xcc6\xa9') \ No newline at end of file diff --git a/crypto/minigen/solve.py b/crypto/minigen/solve.py new file mode 100644 index 0000000..7916587 --- /dev/null +++ b/crypto/minigen/solve.py @@ -0,0 +1,11 @@ +out = "281 547 54 380 392 98 158 440 724 218 406 672 193 457 694 208 455 745 196 450 724".split(" ") +out = [int(x) for x in out] + +exec('def f(x):'+'yield((x:=-~x)*x+-~-x)%727;'*100) + +for i in range(727): + g=f(i) + a = (list([*map(lambda c:c^next(g),out)])) + if all([x < 128 for x in a]): + print(i) + print("".join([chr(x) for x in a])) diff --git a/crypto/minigen/src/f b/crypto/minigen/src/f new file mode 100644 index 0000000..41b8d82 --- /dev/null +++ b/crypto/minigen/src/f @@ -0,0 +1 @@ +rarctf{pyg01f_1s_fun} \ No newline at end of file diff --git a/crypto/minigen/src/minigen.py b/crypto/minigen/src/minigen.py new file mode 100644 index 0000000..f6ead75 --- /dev/null +++ b/crypto/minigen/src/minigen.py @@ -0,0 +1,2 @@ +exec('def f(x):'+'yield((x:=-~x)*x+-~-x)%727;'*100) +g=f(id(f));print(*map(lambda c:ord(c)^next(g),list(open('f').read()))) \ No newline at end of file diff --git a/crypto/minigen/src/output.txt b/crypto/minigen/src/output.txt new file mode 100644 index 0000000..f5aaacf --- /dev/null +++ b/crypto/minigen/src/output.txt @@ -0,0 +1 @@ +281 547 54 380 392 98 158 440 724 218 406 672 193 457 694 208 455 745 196 450 724 diff --git a/crypto/rotoRSA/solve.sage b/crypto/rotoRSA/solve.sage new file mode 100644 index 0000000..37c75a5 --- /dev/null +++ b/crypto/rotoRSA/solve.sage @@ -0,0 +1,15 @@ +# thanks will +N = ? +e = 111 + +def gcd(a,b): + # custom GCD implementation because Sage's one apparently doesn't work here + while b: + a, b = b, a % b + return a.monic() + +P. = PolynomialRing(Zmod(N)) +p1 = (poly1) ^ e - ct0 +p2 = (poly2) ^ e - ct0 +result = -gcd(p1, p2).coefficients()[0] +print(long_to_bytes(result)) diff --git a/crypto/rotoRSA/src/Dockerfile b/crypto/rotoRSA/src/Dockerfile new file mode 100644 index 0000000..3a1d2d0 --- /dev/null +++ b/crypto/rotoRSA/src/Dockerfile @@ -0,0 +1,23 @@ +# randompad +FROM python:3.9.2-slim-buster + +RUN apt-get update && apt-get install -y \ + xinetd \ + && rm -rf /var/lib/apt/lists/* + +RUN pip3 install --no-cache-dir pycryptodome sympy + +RUN mkdir -p /challenge +RUN useradd -M -d /challenge ctf +WORKDIR /challenge + +COPY ctf.xinetd /etc/xinetd.d/ctf +COPY . /challenge/ + +RUN chown -R ctf:ctf /challenge && chmod -R 770 /challenge +RUN chown -R root:ctf /challenge && \ + chmod -R 750 /challenge + +CMD ["/usr/sbin/xinetd", "-dontfork"] + +EXPOSE 1337 diff --git a/crypto/rotoRSA/src/build.sh b/crypto/rotoRSA/src/build.sh new file mode 100755 index 0000000..2379add --- /dev/null +++ b/crypto/rotoRSA/src/build.sh @@ -0,0 +1,4 @@ +#!/bin/bash +docker rm -f rotorsa +docker build --tag=rotorsa . && \ +docker run -p 1337:1337 --restart=on-failure --name=rotorsa --detach rotorsa diff --git a/crypto/rotoRSA/src/ctf.xinetd b/crypto/rotoRSA/src/ctf.xinetd new file mode 100644 index 0000000..4cca067 --- /dev/null +++ b/crypto/rotoRSA/src/ctf.xinetd @@ -0,0 +1,17 @@ +service ctf +{ + disable = no + socket_type = stream + protocol = tcp + wait = no + user = ctf + type = UNLISTED + port = 1337 + bind = 0.0.0.0 + server = /usr/local/bin/python3 + server_args = /challenge/source.py + # safety options + per_source = 10 # the maximum instances of this service per source IP address + rlimit_cpu = 1 # the maximum number of CPU seconds that the service may use + #rlimit_as = 1024M # the Address Space resource limit for the service +} diff --git a/crypto/rotoRSA/src/flag.txt b/crypto/rotoRSA/src/flag.txt new file mode 100644 index 0000000..7d5dad6 --- /dev/null +++ b/crypto/rotoRSA/src/flag.txt @@ -0,0 +1 @@ +rarctf{fr4nkl1n_reiter_w0rks_0n_p0lynom14ls_t00_5851060b} diff --git a/crypto/rotoRSA/src/source.py b/crypto/rotoRSA/src/source.py new file mode 100644 index 0000000..c85ffe1 --- /dev/null +++ b/crypto/rotoRSA/src/source.py @@ -0,0 +1,45 @@ +from sympy import poly, symbols +from collections import deque +import Crypto.Random.random as random +from Crypto.Util.number import getPrime, bytes_to_long, long_to_bytes + +def build_poly(coeffs): + x = symbols('x') + return poly(sum(coeff * x ** i for i, coeff in enumerate(coeffs))) + +def encrypt_msg(msg, poly, e, N): + return long_to_bytes(pow(poly(msg), e, N)).hex() + +p = getPrime(256) +q = getPrime(256) +N = p * q +e = 11 + +flag = bytes_to_long(open("/challenge/flag.txt", "rb").read()) + +coeffs = deque([random.randint(0, 128) for _ in range(16)]) + + +welcome_message = f""" +Welcome to RotorSA! +With our state of the art encryption system, you have two options: +1. Encrypt a message +2. Get the encrypted flag +The current public key is +n = {N} +e = {e} +""" + +print(welcome_message) + +while True: + padding = build_poly(coeffs) + choice = int(input('What is your choice? ')) + if choice == 1: + message = int(input('What is your message? '), 16) + encrypted = encrypt_msg(message, padding, e, N) + print(f'The encrypted message is {encrypted}') + elif choice == 2: + encrypted_flag = encrypt_msg(flag, padding, e, N) + print(f'The encrypted flag is {encrypted_flag}') + coeffs.rotate(1) \ No newline at end of file

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python:3.9.2-slim-buster + +RUN apt-get update && apt-get install -y \ + xinetd \ + && rm -rf /var/lib/apt/lists/* + +RUN pip3 install --no-cache-dir pycryptodome + +RUN mkdir -p /challenge +RUN useradd -M -d /challenge ctf +WORKDIR /challenge + +COPY ctf.xinetd /etc/xinetd.d/ctf +COPY . /challenge/ + +RUN chown -R ctf:ctf /challenge && chmod -R 770 /challenge +RUN chown -R root:ctf /challenge && \ + chmod -R 750 /challenge + +CMD ["/usr/sbin/xinetd", "-dontfork"] + +EXPOSE 1337 diff --git a/crypto/SSS/src/build.sh b/crypto/SSS/src/build.sh new file mode 100755 index 0000000..2897323 --- /dev/null +++ b/crypto/SSS/src/build.sh @@ -0,0 +1,4 @@ +#!/bin/bash +docker rm -f sss +docker build --tag=sss . && \ +docker run -p 1337:1337 --restart=on-failure --name=sss --detach sss diff --git a/crypto/SSS/src/ctf.xinetd b/crypto/SSS/src/ctf.xinetd new file mode 100644 index 0000000..41da466 --- /dev/null +++ b/crypto/SSS/src/ctf.xinetd @@ -0,0 +1,17 @@ +service ctf +{ + disable = no + socket_type = stream + protocol = tcp + wait = no + user = ctf + type = UNLISTED + port = 1337 + bind = 0.0.0.0 + server = /usr/local/bin/python3 + server_args = /challenge/stingy.py + # safety options + per_source = 10 # the maximum instances of this service per source IP address + rlimit_cpu = 1 # the maximum number of CPU seconds that the service may use + #rlimit_as = 1024M # the Address Space resource limit for the service +} diff --git a/crypto/SSS/src/flag.txt b/crypto/SSS/src/flag.txt new file mode 100644 index 0000000..c91a46b --- /dev/null +++ b/crypto/SSS/src/flag.txt @@ -0,0 +1 @@ +rarctf{n3v3r_trust_4n_1nt3g3r_d124d204} diff --git a/crypto/SSS/src/stingy.py b/crypto/SSS/src/stingy.py new file mode 100644 index 0000000..fca548e --- /dev/null +++ b/crypto/SSS/src/stingy.py @@ -0,0 +1,24 @@ +import random, sys +from Crypto.Util.number import long_to_bytes + +def bxor(ba1,ba2): + return bytes([_a ^ _b for _a, _b in zip(ba1, ba2)]) + +BITS = 128 +SHARES = 30 + +poly = [random.getrandbits(BITS) for _ in range(SHARES)] +flag = open("/challenge/flag.txt","rb").read() + +random.seed(poly[0]) +print(bxor(flag, long_to_bytes(random.getrandbits(len(flag)*8))).hex()) + +try: + x = int(input('Take a share... BUT ONLY ONE. ')) +except: + print('Do you know what an integer is?') + sys.exit(1) +if abs(x) < 1: + print('No.') +else: + print(sum(map(lambda i: poly[i] * pow(x, i), range(len(poly))))) \ No newline at end of file diff --git a/crypto/mini-A3S/solution.ipynb b/crypto/mini-A3S/solution.ipynb new file mode 100644 index 0000000..b27621c --- /dev/null +++ b/crypto/mini-A3S/solution.ipynb @@ -0,0 +1,986 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n", + " [ 0 23 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0]\n", + " [ 0 0 23 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0]\n", + " [ 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 23 0 0 0 0 0 0 0]\n", + " [ 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 23 0 0 0 0 0 0]\n", + " [ 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 23 0 0 0 0 0 0 0 0]\n", + " [ 0 0 0 0 0 0 0 2 0 0 0 23 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0]\n", + " [ 0 0 0 0 0 0 0 0 2 23 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0]\n", + " [ 0 0 0 0 0 0 2 0 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0]\n", + " [ 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 23 0 0 0 0 0]\n", + " [ 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 23 0 0 0 0]\n", + " [ 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 23 0 0 0]\n", + " [ 0 0 0 0 0 0 0 0 0 0 0 0 0 24 0 0 0 0 0 0 0 0 0 0 0 0 3]\n", + " [ 0 2 0 0 0 0 0 0 0 0 0 0 0 0 23 0 0 0 0 0 0 0 0 0 2 0 0]\n", + " [ 0 0 2 0 0 0 0 0 0 0 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 2 0]\n", + " [ 0 0 0 0 0 23 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0]\n", + " [ 0 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0]\n", + " [ 0 0 0 0 23 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0]\n", + " [ 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 23 0 0 0 2 0 0 0 0 0 0 0]\n", + " [ 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 23 0 0 0 2 0 0 0 0 0 0]\n", + " [ 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 23 2 0 0 0 0 0 0 0 0]\n", + " [ 0 0 0 0 0 0 0 23 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0]\n", + " [ 0 0 0 0 0 0 0 0 23 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0]\n", + " [ 0 0 0 0 0 0 23 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0]\n", + " [ 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 24]\n", + " [ 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 23 0 0]\n", + " [ 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 23 0]]\n", + "[27, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 23, 23]\n" + ] + } + ], + "source": [ + "'''\n", + "Section [1]\n", + "'''\n", + "\n", + "import numpy\n", + "numpy.set_printoptions(linewidth=180)\n", + "pp = lambda x: print(numpy.array(x))\n", + "\n", + "SBOX = (9, 10, 11, 1, 2, 0, 20, 18, 19, 3, 4, 5, 22, 23, 21, 14, 12, 26, 24, 25, 13, 16, 17, 15, 8, 6, 7)\n", + "\n", + "F. = GF(3^3, modulus=x^3 + x^2 + 2)\n", + "\n", + "tri = [F.fetch_int(i) for i in range(27)]\n", + "lng = {x: x.integer_representation() for x in tri}\n", + "\n", + "def dif(s):\n", + " s2 = {tri[i]:tri[s[i]] for i in s}\n", + " out = []\n", + " for i in tri:\n", + " layer = [0 for _ in range(27)]\n", + " for p in tri:\n", + " layer[lng[s2[p + i] - s2[p]]] += 1\n", + " out.append(layer)\n", + " return out\n", + "\n", + "ddt = dif(SBOX)\n", + "pp(ddt)\n", + "chance = [max(i) for i in ddt]\n", + "print(chance)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "'''\n", + "Section [2]\n", + "'''\n", + "ROUNDS = 6\n", + "def mald(tup, a, b):\n", + " out = 0\n", + " for i, j in enumerate(tup):\n", + " out2 = 0\n", + " for k, l in enumerate(j):\n", + " out2 += l*a^k\n", + " out += out2*b^i\n", + " return out\n", + "\n", + "def unmald(pol):\n", + " return tuple(tuple(i.polynomial().list()) for i in pol.list())\n", + "\n", + "G. = PolynomialRing(F)\n", + "mm = ((2, 0, 1), (1, 2, 0), (0, 2, 1), (2, 0, 1))\n", + "MM = mald(mm, a, b)\n", + "H. = G.quotient(MM) # Setting up for mix columns\n", + "\n", + "cc = ((1, 2, 0), (2, 0, 1), (1, 1, 1))\n", + "CC = mald(cc, a, c)\n", + "DD = CC.inverse_mod(MM)\n", + "assert CC*DD == 1\n", + "\n", + "def add(a, b):\n", + " return [i + j for i, j in zip(a, b)]\n", + "\n", + "def sub(a):\n", + " b = []\n", + " c = []\n", + " for i in a:\n", + " inp = lng[i]\n", + " row = ddt[inp]\n", + " col = row.index(chance[inp])\n", + " out = tri[col] \n", + " b.append(out)\n", + " c.append(chance[inp]/27)\n", + " return b, c\n", + "\n", + "def mix(a):\n", + " b = [0 for _ in range(9)]\n", + "\n", + " for i in range(3):\n", + " we = a[i::3]\n", + " we = we[0] + we[1]*c + we[2]*c^2\n", + " we *= CC\n", + "\n", + " b[i::3] = we.list()\n", + " return b\n", + "\n", + "def row(a):\n", + " return [a[i] for i in (0, 1, 2, 4, 5, 3, 8, 6, 7)]\n", + "\n", + "lst = {i:([0, 0, 0] + i.polynomial().list()) for i in F}\n", + "\n", + "def calc(x): # skips add()\n", + " hist = []\n", + " for _ in range(ROUNDS):\n", + " x, y = sub(x)\n", + " hist += y\n", + " x = row(x)\n", + " x = mix(x)\n", + " x, y = sub(x)\n", + " hist += y\n", + " x = row(x)\n", + " return x, prod(hist).numerical_approx(), sum(i < 1 for i in hist), hist\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "Waa" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['.solution.ipynb.sage-jupyter2', '.smc', '.2021-08-03-003824.ipynb.sage-jupyter2', 'lol.txt', 'dump.txt', '.snapshots', '.bash_history', 'output.txt', '.jupyter-blobs-v0.db', '2021-08-03-003824.ipynb', '.ccache', '.2021-08-03-003824.ipynb-0.term', '.sage', 'solution.ipynb', '.cache', '.bash_profile', '.gitexcludes', '.bashrc', '.ssh', '.gitconfig']\n" + ] + } + ], + "source": [ + "import os\n", + "print(os.listdir('.'))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + ], + "source": [ + "with open(\"./output.txt\", \"r\") as f:\n", + " chal = eval(f.read()[217:])" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "b'\\x05\\xfeG[\\xb5)'\n" + ] + } + ], + "source": [ + "print(chal[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "int_to_byt = lambda x: x.to_bytes((x.bit_length() + 7) // 8, \"big\")\n", + "byt_to_int = lambda x: int.from_bytes(x, byteorder=\"big\")\n", + "\n", + "def byt_to_tri(x):\n", + " x = [int(i) for i in Integer(byt_to_int(x)).str(3)]\n", + " x.reverse()\n", + " return [F(x[i:i + 3]) for i in range(0, 27, 3)]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "chal = [byt_to_tri(x) for x in chal]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[a^2 + a + 1, 2*a, a, 2*a^2 + 2*a, 2*a^2 + 2*a, 2, 2*a^2 + 2*a + 2, 2*a + 2, 2*a^2 + a + 2]\n" + ] + } + ], + "source": [ + "print(chal[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 1, 0, 0, 0, 0, 0, 0, 0]\n" + ] + } + ], + "source": [ + "zadd = lambda x, y: x + y\n", + "zsub = lambda x, y: x - y\n", + "def zlip(a, b, k = zadd):\n", + " return [k(i, j) for i, j in zip(a, b)]\n", + "\n", + "def lint(a):\n", + " out = 0\n", + " for i in a[::-1]:\n", + " out *= 27\n", + " out += lng[i]\n", + " return out\n", + "\n", + "def ltri(a):\n", + " x = [int(i) for i in Integer(a).str(3)]\n", + " x.reverse()\n", + " return [F(x[i:i + 3]) for i in range(0, 27, 3)]\n", + "\n", + "print(ltri(lint([2, 1, 0, 0, 0, 0, 0, 0, 0])))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2*a^2 + 2*a, 1, 0, 0, 0, 0, 0, 0, 0]\n", + "53\n" + ] + } + ], + "source": [ + "print(byt_to_tri(b\"3\"))\n", + "print(ord(\"5\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a^2 + 1\n" + ] + } + ], + "source": [ + "print(eval(\"a**2 + 1\"))\n", + "from sage.misc.persist import dumps, loads" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(1, 2, a^2), (1, 0, a^2)]\n", + "((1, 2, a^2), (1, 0, a^2), (1, 2, a^2), (1, 2, a^2), 1, 2)\n" + ] + } + ], + "source": [ + "nom = [(1, 2, a*a), (1, 0, a*a), (1, 2, a*a), (1, 2, a*a)]\n", + "print(list(set(nom)))\n", + "print((*nom, 1, 2))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[Errno 2] No such file or directory: 'dumps.txt'\n", + "Something went wrong?????\n", + "^^^\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Escaping loop...\n", + "Stopped at (0, a, 2*a^2 + 1)\n", + "Done!?!?!\n" + ] + } + ], + "source": [ + "from itertools import product, islice\n", + "safe = []\n", + "undup = lambda x: list(set(x))\n", + "try:\n", + " with open(\"dumps.txt\", \"rb\") as f:\n", + " safe = loads(f.read())\n", + " nom = safe.pop()\n", + " nom2 = lng[nom[0]] * 27^2 + lng[nom[1]] * 27 + lng[nom[2]]\n", + " print(f\"Starting at {nom2} => {nom}...\")\n", + " if safe:\n", + " print(f\"> {safe[-1]}\")\n", + " print()\n", + " kek = islice(product(tri, tri, tri), nom2, None)\n", + "except Exception as e:\n", + " print(e)\n", + " print(\"Something went wrong?????\")\n", + " print(\"^^^\")\n", + " kek = product(tri, tri, tri)\n", + " next(kek)\n", + "\n", + "try:\n", + " for i in kek:\n", + " safe2 = []\n", + " guess = (*i, 0, 0, 0, 0, 0, 0)\n", + " out = calc(guess)\n", + " for j, k in enumerate(chal):\n", + " nj = lint(zlip(guess, ltri(j)))\n", + " nk = chal[nj]\n", + " #assert zlip(ltri(nj), ltri(j), zsub) == guess\n", + " if out[0] == zlip(nk, k, zsub):\n", + " safe2.append((j, nj, guess, tuple(out[0])))\n", + " if safe2:\n", + " safe += safe2\n", + "except Exception as e:\n", + " print(f\"Error: {e}\")\n", + " choice = input(\"You wish to save?? [y/n]\")\n", + " if choice == \"n\":\n", + " raise SystemExit\n", + "except KeyboardInterrupt:\n", + " print(\"Escaping loop...\")\n", + "\n", + "\n", + "print(f\"Stopped at {i}\")\n", + "safe = undup(safe)\n", + "safety = dumps(safe + [i])\n", + "with open(\"dumps.txt\", \"wb+\") as f:\n", + " f.write(safety)\n", + "\n", + "print(\"Done!?!?!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(6765, 18429, (0, 0, a^2 + 2*a + 1, 0, 0, 0, 0, 0, 0), (a^2 + 2*a + 1, 2, 2*a + 1, 2*a^2 + 2*a + 1, 2*a^2 + a, 2*a + 2, a^2 + 2, 2*a^2 + 2*a + 2, a + 1))\n", + "(11009, 10955, (0, 1, 0, 0, 0, 0, 0, 0, 0), (2*a^2 + 2*a, a^2 + a + 2, a^2 + 2*a + 2, 2*a + 1, 2*a^2 + 2*a + 2, a^2 + 2, 2*a^2 + a + 2, a^2 + a + 1, 2*a^2))\n", + "687\n" + ] + } + ], + "source": [ + "print(safe[0])\n", + "print(safe[-1])\n", + "print(len(safe))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "test = [a, 2*a, 0, a^2, 2, a^2 + 2, 1, 2*a^2, a]\n", + "\n", + "def usub(a):\n", + " b = []\n", + " c = []\n", + " for i in a:\n", + " out = lng[i]\n", + " col = [_[out] for _ in ddt]\n", + " prob = max(col)\n", + " row = col.index(prob)\n", + " inp = tri[row]\n", + " b.append(inp)\n", + " c.append(prob/27)\n", + " return b, c\n", + "\n", + "assert usub(sub(test)[0])[0] == test\n", + "\n", + "def umix(a):\n", + " b = [0 for _ in range(9)]\n", + "\n", + " for i in range(3):\n", + " we = a[i::3]\n", + " we = we[0] + we[1]*c + we[2]*c^2\n", + " we *= DD\n", + "\n", + " b[i::3] = we.list()\n", + " return b\n", + "\n", + "assert umix(mix(test)) == test\n", + "\n", + "def urow(a):\n", + " return [a[i] for i in (0, 1, 2, 5, 3, 4, 7, 8, 6)]\n", + "\n", + "assert urow(row(test)) == test\n", + "\n", + "ussub = {tri[SBOX[lng[i]]]:i for i in tri}\n", + "ssub = {i:tri[SBOX[lng[i]]] for i in tri}\n", + "\n", + "tsub = lambda x: [ssub[i] for i in x]\n", + "utsub = lambda x: [ussub[i] for i in x]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "def vroom():\n", + " scores = [[0] * 27 for _ in range(9)]\n", + " for i in safe:\n", + " i1, i2, din, dout = i\n", + " o1, o2 = chal[i1], chal[i2]\n", + " dmid, o1, o2 = usub(urow(dout))[0], urow(o1), urow(o2)\n", + " for pos, kpos in enumerate((0, 1, 2, 5, 3, 4, 7, 8, 6)):\n", + " expect = dmid[pos]\n", + " for key in tri:\n", + " k1, k2 = ussub[o1[pos] - key], ussub[o2[pos] - key]\n", + " if k2 - k1 == expect:\n", + " scores[kpos][lng[key]] += 1\n", + " final = []\n", + " for score in scores:\n", + " k = tri[score.index(max(score))]\n", + " print(f\"{str(k):>16} {score}\")\n", + " final.append(k)\n", + " return final" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " a^2 + a + 2 [566, 631, 594, 552, 613, 582, 596, 581, 578, 595, 560, 609, 583, 567, 687, 581, 546, 601, 609, 581, 567, 581, 593, 581, 631, 573, 582]\n", + " 2*a^2 + a [600, 563, 582, 560, 589, 596, 583, 621, 607, 573, 578, 621, 596, 572, 563, 587, 602, 566, 580, 606, 568, 687, 605, 580, 557, 572, 564]\n", + " 2*a^2 + a + 2 [593, 573, 584, 580, 580, 582, 627, 581, 588, 568, 627, 579, 590, 580, 592, 579, 582, 560, 564, 561, 589, 591, 577, 687, 565, 609, 588]\n", + " a [586, 595, 555, 687, 606, 590, 592, 595, 575, 581, 579, 563, 551, 578, 568, 612, 643, 584, 601, 591, 643, 583, 567, 582, 556, 575, 587]\n", + " a^2 + 2*a + 1 [594, 561, 586, 627, 537, 586, 553, 567, 625, 610, 549, 571, 599, 588, 575, 585, 687, 551, 569, 598, 627, 583, 614, 575, 573, 611, 605]\n", + " a^2 [579, 577, 596, 576, 575, 589, 575, 559, 634, 687, 597, 570, 599, 577, 614, 583, 571, 560, 559, 576, 591, 584, 634, 630, 566, 573, 569]\n", + " a + 1 [599, 588, 591, 584, 687, 583, 562, 576, 608, 591, 589, 572, 566, 570, 585, 586, 604, 634, 634, 592, 597, 574, 583, 589, 572, 551, 556]\n", + " a + 2 [586, 572, 561, 562, 561, 687, 575, 604, 604, 609, 575, 586, 566, 561, 588, 637, 588, 571, 555, 637, 602, 625, 603, 591, 587, 568, 568]\n", + " 2*a + 1 [576, 575, 599, 613, 607, 593, 558, 687, 551, 565, 563, 620, 578, 594, 586, 579, 603, 622, 609, 595, 584, 620, 553, 568, 531, 579, 577]\n", + "-> [a^2 + a + 2, 2*a^2 + a, 2*a^2 + a + 2, a, a^2 + 2*a + 1, a^2, a + 1, a + 2, 2*a + 1]\n" + ] + } + ], + "source": [ + "print(f\"-> {str(vroom())}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "def subtracc(a, b):\n", + " return [x - y for x, y in zip(a, b)]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(6765, 18429, (0, 0, a^2 + 2*a + 1, 0, 0, 0, 0, 0, 0), (a^2 + 2*a + 1, 2, 2*a + 1, 2*a^2 + 2*a + 1, 2*a^2 + a, 2*a + 2, a^2 + 2, 2*a^2 + 2*a + 2, a + 1))\n", + "(11009, 10955, (0, 1, 0, 0, 0, 0, 0, 0, 0), (2*a^2 + 2*a, a^2 + a + 2, a^2 + 2*a + 2, 2*a + 1, 2*a^2 + 2*a + 2, a^2 + 2, 2*a^2 + a + 2, a^2 + a + 1, 2*a^2))\n" + ] + } + ], + "source": [ + "print(safe[0])\n", + "print(safe[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + "def mega_usbox(spec):\n", + " keys = [[0] * 27 for _ in range(9)]\n", + " spec = [(i, j, usub(k)[0]) for i, j, k in spec]\n", + " for pos in range(9):\n", + " for key in tri:\n", + " cnt = sum([ussub[j[pos] - key] - ussub[i[pos] - key] == k[pos] for i, j, k in spec])\n", + " keys[pos][lng[key]] = cnt\n", + " key = [tri[i.index(max(i))] for i in keys]\n", + " for i in keys:\n", + " if len(set(i)) == 1:\n", + " print(f\"Data set too small (Difference of 0 found) {keys}.\")\n", + " return spec, key\n", + "\n", + "def mega_vroom():\n", + " spec = [(chal[i], chal[j], list(k)) for i, j, _, k in safe]\n", + " final = []\n", + "\n", + " spec = [(urow(i), urow(j), urow(k)) for i, j, k in spec]\n", + " spec, key = mega_usbox(spec)\n", + " spec = [(utsub(subtracc(i, key)), utsub(subtracc(j, key)), k) for i, j, k in spec]\n", + " final.append(row(key))\n", + "\n", + " for _ in range(ROUNDS):\n", + " print(_)\n", + " spec = [(urow(umix(i)), urow(umix(j)), urow(umix(k))) for i, j, k in spec]\n", + " spec, key = mega_usbox(spec)\n", + " spec = [(utsub(subtracc(i, key)), utsub(subtracc(j, key)), k) for i, j, k in spec]\n", + " final.append(mix(row(key)))\n", + "\n", + " last = [(subtracc(j[0], chal[safe[i][0]]), subtracc(j[1], chal[safe[i][0]])) for i, j in enumerate(spec)]\n", + " print(f\"Sanity check... {last[0][0] == last[0][1] == last[-1][1]}\")\n", + " final.append(last[0][0])\n", + " return final[::-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [640, 581, 654, 650, 644, 643, 593, 655, 653, 658, 591, 663, 656, 687, 623, 591, 650, 618, 615, 635, 687, 631, 624, 635, 583, 685, 640], [607, 595, 601, 618, 593, 559, 606, 551, 651, 651, 609, 557, 547, 591, 541, 568, 645, 573, 564, 568, 578, 577, 687, 537, 631, 627, 595], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [633, 569, 662, 625, 614, 616, 663, 640, 643, 655, 687, 635, 642, 629, 636, 619, 658, 614, 687, 622, 654, 588, 611, 663, 616, 667, 637], [554, 573, 586, 614, 566, 527, 651, 631, 618, 530, 609, 631, 593, 588, 560, 557, 687, 585, 553, 548, 614, 687, 595, 645, 565, 576, 573], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [587, 602, 616, 611, 664, 604, 624, 648, 687, 687, 656, 626, 587, 656, 610, 653, 620, 664, 687, 638, 638, 661, 687, 655, 629, 570, 618], [552, 545, 687, 546, 631, 543, 614, 647, 578, 596, 645, 603, 635, 555, 567, 551, 609, 577, 626, 523, 617, 643, 596, 574, 585, 635, 559]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [640, 581, 654, 650, 644, 643, 593, 655, 653, 658, 591, 663, 656, 687, 623, 591, 650, 618, 615, 635, 687, 631, 624, 635, 583, 685, 640], [607, 595, 601, 618, 593, 559, 606, 551, 651, 651, 609, 557, 547, 591, 541, 568, 645, 573, 564, 568, 578, 577, 687, 537, 631, 627, 595], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [633, 569, 662, 625, 614, 616, 663, 640, 643, 655, 687, 635, 642, 629, 636, 619, 658, 614, 687, 622, 654, 588, 611, 663, 616, 667, 637], [554, 573, 586, 614, 566, 527, 651, 631, 618, 530, 609, 631, 593, 588, 560, 557, 687, 585, 553, 548, 614, 687, 595, 645, 565, 576, 573], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [587, 602, 616, 611, 664, 604, 624, 648, 687, 687, 656, 626, 587, 656, 610, 653, 620, 664, 687, 638, 638, 661, 687, 655, 629, 570, 618], [552, 545, 687, 546, 631, 543, 614, 647, 578, 596, 645, 603, 635, 555, 567, 551, 609, 577, 626, 523, 617, 643, 596, 574, 585, 635, 559]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [640, 581, 654, 650, 644, 643, 593, 655, 653, 658, 591, 663, 656, 687, 623, 591, 650, 618, 615, 635, 687, 631, 624, 635, 583, 685, 640], [607, 595, 601, 618, 593, 559, 606, 551, 651, 651, 609, 557, 547, 591, 541, 568, 645, 573, 564, 568, 578, 577, 687, 537, 631, 627, 595], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [633, 569, 662, 625, 614, 616, 663, 640, 643, 655, 687, 635, 642, 629, 636, 619, 658, 614, 687, 622, 654, 588, 611, 663, 616, 667, 637], [554, 573, 586, 614, 566, 527, 651, 631, 618, 530, 609, 631, 593, 588, 560, 557, 687, 585, 553, 548, 614, 687, 595, 645, 565, 576, 573], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [587, 602, 616, 611, 664, 604, 624, 648, 687, 687, 656, 626, 587, 656, 610, 653, 620, 664, 687, 638, 638, 661, 687, 655, 629, 570, 618], [552, 545, 687, 546, 631, 543, 614, 647, 578, 596, 645, 603, 635, 555, 567, 551, 609, 577, 626, 523, 617, 643, 596, 574, 585, 635, 559]].\n", + "5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Data set too small (Difference of 0 found) [[687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [595, 635, 585, 665, 687, 653, 631, 619, 656, 656, 613, 596, 621, 664, 655, 654, 658, 687, 687, 620, 640, 616, 687, 607, 603, 577, 618], [632, 587, 687, 643, 557, 645, 520, 565, 566, 599, 535, 579, 687, 572, 587, 557, 609, 554, 573, 595, 569, 599, 584, 536, 568, 687, 627], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687], [687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687, 687]].\n", + "Sanity check... False\n" + ] + } + ], + "source": [ + "kek = mega_vroom()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[a^2 + a + 2, 2*a^2, a^2 + 2*a + 2, 2*a^2, 2*a^2 + 2*a + 1, a^2 + a + 1, 2*a^2 + a + 2, a^2 + 2*a + 1, 2*a^2 + 2]\n", + "[0, 2*a^2 + 1, a + 2, 0, 2*a, 2*a^2 + 1, 0, a^2 + 2*a + 2, 2*a^2 + 2*a + 2]\n", + "[2*a^2 + a, 2*a^2 + 2*a, a + 1, 2*a^2 + a + 2, a^2 + 1, 2, a^2 + 1, 1, 2*a^2 + a + 1]\n", + "[a^2 + a, 2*a^2 + 2*a + 2, 2*a + 1, 0, a^2, a^2 + 2*a, a, a^2 + 2*a, 1]\n", + "[a, a^2 + 2*a + 1, a + 2, a^2, a, 0, 2*a^2 + a, 2*a^2 + 2, 2*a + 1]\n", + "[2*a^2 + a + 1, 0, 2*a^2 + a + 1, 2*a^2 + 2*a + 1, a^2 + 2*a, 2*a^2 + a + 2, 2*a^2 + 1, 2*a^2 + a + 1, 2*a^2 + 2*a + 1]\n", + "[1, 2*a^2 + 2*a + 1, 2*a^2 + 2*a + 1, 2*a^2 + a + 1, a^2 + 2*a, 2*a^2 + a + 2, 2*a^2 + 2*a + 1, a^2 + 2*a, 0]\n", + "[a^2 + a + 2, 2*a^2 + a, 2*a^2 + a + 2, a, a^2 + 2*a + 1, a^2, a + 1, a + 2, 2*a + 1]\n" + ] + } + ], + "source": [ + "for i in kek:\n", + " print(i)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(11009, 10955, (0, 1, 0, 0, 0, 0, 0, 0, 0), (2*a^2 + 2*a, a^2 + a + 2, a^2 + 2*a + 2, 2*a + 1, 2*a^2 + 2*a + 2, a^2 + 2, 2*a^2 + a + 2, a^2 + a + 1, 2*a^2))\n", + "[[a^2 + a, 2*a^2 + 2*a + 2, 2*a + 1, 0, a^2, a^2 + 2*a, a, a^2 + 2*a, 1], [a, a^2 + 2*a + 1, a + 2, a^2, a, 0, 2*a^2 + a, 2*a^2 + 2, 2*a + 1], [2*a^2 + a + 1, 0, 2*a^2 + a + 1, 2*a^2 + 2*a + 1, a^2 + 2*a, 2*a^2 + a + 2, 2*a^2 + 1, 2*a^2 + a + 1, 2*a^2 + 2*a + 1], [1, 2*a^2 + 2*a + 1, 2*a^2 + 2*a + 1, 2*a^2 + a + 1, a^2 + 2*a, 2*a^2 + a + 2, 2*a^2 + 2*a + 1, a^2 + 2*a, 0], [a^2 + a + 2, 2*a^2 + a, 2*a^2 + a + 2, a, a^2 + 2*a + 1, a^2, a + 1, a + 2, 2*a + 1]]\n" + ] + } + ], + "source": [ + "print(safe[-1])\n", + "five = kek[-5:] # change this depending on when error starts\n", + "print(five)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[a^2 + a, 2*a^2 + 2*a + 2, 2*a + 1], [0, a^2, a^2 + 2*a], [a, a^2 + 2*a, 1], [a, a^2 + 2*a + 1, a + 2], [a^2, a, 0], [2*a^2 + a, 2*a^2 + 2, 2*a + 1], [2*a^2 + a + 1, 0, 2*a^2 + a + 1], [2*a^2 + 2*a + 1, a^2 + 2*a, 2*a^2 + a + 2], [2*a^2 + 1, 2*a^2 + a + 1, 2*a^2 + 2*a + 1], [1, 2*a^2 + 2*a + 1, 2*a^2 + 2*a + 1], [2*a^2 + a + 1, a^2 + 2*a, 2*a^2 + a + 2], [2*a^2 + 2*a + 1, a^2 + 2*a, 0], [a^2 + a + 2, 2*a^2 + a, 2*a^2 + a + 2], [a, a^2 + 2*a + 1, a^2], [a + 1, a + 2, 2*a + 1]]\n", + "8\n", + "[a^2 + a, 2*a^2 + 2*a + 2, 2*a + 1]\n", + "9 [a^2 + a, 2*a^2 + 2*a + 2, 2*a + 1]\n", + "8 [a^2 + 2*a, 2*a^2 + 2*a + 2, 2*a + 1]\n", + "7 [0, 1, a + 1]\n", + "6 [a, 2*a, 2*a^2 + a + 1]\n", + "Wtf\n", + "[2*a + 1, 2*a^2, 2*a^2 + a + 1]\n", + "5 [2, 2*a^2, 2*a^2 + a + 2]\n", + "4 [2*a, 0, 0]\n", + "3 [a^2 + 2*a, 2*a^2 + 2*a + 1, a]\n", + "2 [2*a, a + 1, a^2]\n", + "1 [a + 1, a^2 + 2*a, 2]\n", + "Wtf\n", + "[a^2, a^2, 2*a^2 + 2]\n", + "0 [2*a^2 + 1, a^2, a]\n", + "[2*a^2 + 1, a^2, a]\n", + "[a + 1, a^2 + 2*a, 2]\n", + "[2*a, a + 1, a^2]\n", + "[a^2 + 2*a, 2*a^2 + 2*a + 1, a]\n", + "[2*a, 0, 0]\n", + "[1, 2*a^2, 2*a^2 + a + 2]\n", + "[a, 2*a, 2*a^2 + a + 1]\n", + "[0, 1, a + 1]\n", + "[a^2 + 2*a, 2*a^2 + 2*a + 2, 2*a + 1]\n", + "[a^2 + a, 2*a^2 + 2*a + 2, 2*a + 1]\n", + "[2*a, a^2, a^2 + 2*a]\n", + "[a, a^2 + 2*a, 1]\n", + "[a, a^2 + 2*a + 1, a + 2]\n", + "[a^2, a, 0]\n", + "[2*a^2 + a, 2*a^2 + 2, 2*a + 1]\n", + "[2*a^2 + a + 1, 0, 2*a^2 + a + 1]\n", + "[2*a^2 + 2*a + 1, a^2 + 2*a, 2*a^2 + a + 2]\n", + "[2*a^2 + 1, 2*a^2 + a + 1, 2*a^2 + 2*a + 1]\n", + "[1, 2*a^2 + 2*a + 1, 2*a^2 + 2*a + 1]\n", + "[2*a^2 + a + 1, a^2 + 2*a, 2*a^2 + a + 2]\n", + "[2*a^2 + 2*a + 1, a^2 + 2*a, 0]\n", + "[a^2 + a + 2, 2*a^2 + a, 2*a^2 + a + 2]\n", + "[a, a^2 + 2*a + 1, a^2]\n", + "[a + 1, a + 2, 2*a + 1]\n" + ] + } + ], + "source": [ + "def slic(x):\n", + " y = sum(x, [])\n", + " z = [y[i:i+3] for i in range(0, len(y), 3)]\n", + " return z\n", + "fiv = slic(five)\n", + "print(fiv)\n", + "\n", + "size = ROUNDS + 2 # 8\n", + "ksize = ROUNDS - 1\n", + "print(size)\n", + "\n", + "def expp(five):\n", + " key = [[0]*3 for _ in range(size*3)] # 24\n", + " key[-len(five):] = five\n", + " print(key[9])\n", + " for i in range(size*3-len(five), -1, -1): #24\n", + " if i % ksize == 0: # 5\n", + " print(\"Wtf\")\n", + " t = key[i + ksize]\n", + " t[0] -= a^(i // ksize)\n", + " l = tsub(key[i + ksize - 1])\n", + " l = l[1:] + l[:1]\n", + " print(l)\n", + " key[i] = subtracc(t, l)\n", + " else:\n", + " key[i] = subtracc(key[i + ksize], key[i + ksize - 1])\n", + " print(i, key[i])\n", + " return key\n", + "\n", + "yay = expp(fiv)\n", + "for i in yay:\n", + " print(i)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2*a^2 + 1, a^2, a, a + 1, a^2 + 2*a, 2, 2*a, a + 1, a^2, a^2 + 2*a, 2*a^2 + 2*a + 1, a, 2*a, 0, 0]\n", + "0\n", + "0\n", + "2*a\n", + "a\n", + "2*a^2 + 2*a + 1\n", + "a^2 + 2*a\n", + "a^2\n", + "a + 1\n", + "2*a\n", + "2\n", + "a^2 + 2*a\n", + "a + 1\n", + "a\n", + "a^2\n", + "2*a^2 + 1\n", + "b'\\x0c\\xcdiD\\x8cc\\x18\\xf2'\n", + "b'\\x04v\\x9fD\\xd9\\\\\\xd9A\\xdb\\xbc\\xfb\\x0bg\\xf5\\x15\\xf7\\xc5\\xfcN\\xa3\\x08f\\xd6]\\x11\\xdb7k\\xa1\\xd9\\xe8#ebS\\x1a\\x0f\\x8fY\\xf657\\nl\\x16\\xe5\\x05\\x88\\xefKFv\\x9b\\x8a\\xbc\\xd4\\xf3\\xb9\\x17\\x03\\xcc5\\xc24'\n", + "b\"rarctf{5t0p_Pos71n9!_4b0ut_4m0NG_U5!!_17's_n0t_7uNN7_3b9cc8e124}\"\n" + ] + } + ], + "source": [ + "wee = sum(yay[:5], [])\n", + "print(wee)\n", + "weed= 0\n", + "for i in wee[::-1]:\n", + " print(i)\n", + " weed *= 27\n", + " weed += i.integer_representation()\n", + "key = int_to_byt(int(weed))\n", + "print(key)\n", + "\n", + "from hashlib import sha512\n", + "\n", + "hsh = sha512(key).digest()\n", + "print(hsh)\n", + "\n", + "def byte_xor(a, b):\n", + " return bytes([i ^^ j for i, j in zip(a, b)])\n", + "\n", + "flag = byte_xor(b\"v\\x17\\xed'\\xad:\\xa2t\\xaf\\x8c\\x8bT7\\x9af\\xc0\\xf4\\x92w\\x82WR\\xb4md\\xafh_\\xcc\\xe9\\xa6d:7f;.\\xd0h\\xc1\\x12DU\\x02&\\x91Z\\xbf\\x9a\\x05\\x08A\\xc4\\xb9\\xde\\xed\\x90\\xda/f\\xfd\\x07\\xf6I\", hsh)\n", + "print(flag)" + ] + }, + { + "cell_type": "code", + "execution_count": 0, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + ] + }, + { + "cell_type": "code", + "execution_count": 0, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + ] + }, + { + "cell_type": "code", + "execution_count": 0, + "metadata": { + "collapsed": false + }, + "outputs": [ + ], + "source": [ + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "SageMath 9.3", + "language": "sagemath", + "metadata": { + "cocalc": { + "description": "Open-source mathematical software system", + "priority": 10, + "url": "https://www.sagemath.org/" + } + }, + "name": "sage-9.3", + "resource_dir": "/ext/jupyter/kernels/sage-9.3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} \ No newline at end of file diff --git a/crypto/mini-A3S/src/help.pdf b/crypto/mini-A3S/src/help.pdf new file mode 100644 index 0000000000000000000000000000000000000000..833cbf2139d4dbc89b1c87eab4c8f8cc6359a13e GIT binary patch literal 259802 zcma&NL$EMx%q)0p+qP}L$F^}XY-!9w3 zV_-_!fY!u5m_d7jiaNbta`Jdg<*w87^cQsQ8L*ci*l>hG8YI;?8DJMxo5I+OU$s1T zDr2WsIxRNS*NU4tuBs~AvN`T)>1it1a&)Pa-C@*Tmty}eCh96@Y{f@=dZtA$)8&dY zNFtDalP(c_muga@DMRGBWPaSycrLk2eu;gJhbYwqtc3MQ;-#x~eB_8SX-}i}4MU 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