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Merge pull request #79 from cryptoeng/gemss
Add GeMSS
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name: GeMSS | ||
type: sig | ||
category: multivariate | ||
year: | ||
paper: 2017 | ||
candidate: 2017 | ||
problems: | ||
- assumption: HFE | ||
stateful: false | ||
nist round: 2 | ||
authors: | ||
- A. Casanova | ||
- J.-C. Faugère | ||
- G. Macario-Rat | ||
- J. Patarin | ||
- L. Perret | ||
- J. Ryckeghem | ||
sources: | ||
- NIST Submission Paper (https://www-polsys.lip6.fr/Links/NIST/GeMSS_specification_round2.pdf) | ||
- Changes for 2nd round (https://www-polsys.lip6.fr/Links/NIST/changes_round2_V2.pdf) |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 52600000 | ||
enc|sign: 1040000000 | ||
dec|vrfy: 164000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 275000000 | ||
enc|sign: 2960000000 | ||
dec|vrfy: 501000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 916000000 | ||
enc|sign: 4940000000 | ||
dec|vrfy: 1120000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 53800000 | ||
enc|sign: 164000000 | ||
dec|vrfy: 176000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 278000000 | ||
enc|sign: 448000000 | ||
dec|vrfy: 512000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 923000000 | ||
enc|sign: 6530000000 | ||
dec|vrfy: 1140000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 54300000 | ||
enc|sign: 5240000 | ||
dec|vrfy: 185000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 277000000 | ||
enc|sign: 13100000 | ||
dec|vrfy: 518000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 921000000 | ||
enc|sign: 21400000 | ||
dec|vrfy: 1170000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 38700000 | ||
enc|sign: 531000000 | ||
dec|vrfy: 106000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 175000000 | ||
enc|sign: 1800000000 | ||
dec|vrfy: 304000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 530000000 | ||
enc|sign: 3020000000 | ||
dec|vrfy: 678000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 39200000 | ||
enc|sign: 81300000 | ||
dec|vrfy: 136000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 174000000 | ||
enc|sign: 252000000 | ||
dec|vrfy: 325000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 530000000 | ||
enc|sign: 399000000 | ||
dec|vrfy: 684000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 39500000 | ||
enc|sign: 2330000 | ||
dec|vrfy: 141000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 173000000 | ||
enc|sign: 5970000 | ||
dec|vrfy: 334000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 534000000 | ||
enc|sign: 399000000 | ||
dec|vrfy: 704000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 51600000 | ||
enc|sign: 1240000000 | ||
dec|vrfy: 163000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 270000000 | ||
enc|sign: 3320000000 | ||
dec|vrfy: 459000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 814000000 | ||
enc|sign: 5380000000 | ||
dec|vrfy: 973000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 52100000 | ||
enc|sign: 198000000 | ||
dec|vrfy: 170000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 268000000 | ||
enc|sign: 481000000 | ||
dec|vrfy: 468000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 810000000 | ||
enc|sign: 733000000 | ||
dec|vrfy: 989000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 52400000 | ||
enc|sign: 5720000 | ||
dec|vrfy: 178000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 264000000 | ||
enc|sign: 13700000 | ||
dec|vrfy: 474000 |
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platform: Intel Xeon E3-1275 v3 (Haswell) 3.5 GHz (Turboboost off), 32GB RAM, CentOS Linux 7 (Core), gcc -O4 -mavx2 -mpclmul -mpopcnt -funroll-loops | ||
timings: | ||
unit: cycles | ||
gen: 805000000 | ||
enc|sign: 22100000 | ||
dec|vrfy: 1010000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 145000000 | ||
enc|sign: 2730000000 | ||
dec|vrfy: 211000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 619000000 | ||
enc|sign: 6510000000 | ||
dec|vrfy: 585000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 1660000000 | ||
enc|sign: 10500000000 | ||
dec|vrfy: 1160000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 118000000 | ||
enc|sign: 530000000 | ||
dec|vrfy: 228000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 520000000 | ||
enc|sign: 1290000000 | ||
dec|vrfy: 592000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 1510000000 | ||
enc|sign: 2080000000 | ||
dec|vrfy: 1190000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 91100000 | ||
enc|sign: 52000000 | ||
dec|vrfy: 239000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 423000000 | ||
enc|sign: 126000000 | ||
dec|vrfy: 627000 |
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platform: Intel Core i7-6600U (Skylake) 2.6 GHz (Turboboost off), 32GB RAM, Ubuntu 16.04.5 LTS, gcc -O2 -msse2 -msse3 -mssse3 -msse4.1 -mpclmul | ||
timings: | ||
unit: cycles | ||
gen: 1310000000 | ||
enc|sign: 203000000 | ||
dec|vrfy: 1190000 |
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name: GeMSS | ||
type: SIG | ||
security notion: EUF-CMA |
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name: Skylake | ||
type: optimized | ||
platform: c |
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name: MQsoft | ||
type: optimized | ||
platform: c | ||
hardware features: | ||
- avx2 | ||
- sse2 | ||
- ssse3 |
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name: Optimized | ||
type: optimized | ||
platform: c |
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name: Reference | ||
type: reference | ||
platform: c |
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name: GeMSS128 | ||
security level: | ||
classical: 128 | ||
quantum: 74 | ||
nist category: 1 | ||
failure probability: -24204404 | ||
number of operations: inf | ||
sizes: | ||
sk: 16 | ||
pk: 352188 | ||
ct|sig: 33 |
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name: GeMSS192 | ||
security level: | ||
classical: 192 | ||
quantum: 112 | ||
nist category: 3 | ||
failure probability: -6345039891167 | ||
number of operations: inf | ||
sizes: | ||
sk: 24 | ||
pk: 1237964 | ||
ct|sig: 52 |
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name: GeMSS256 | ||
security level: | ||
classical: 256 | ||
quantum: 149 | ||
nist category: 5 | ||
failure probability: -1.3306513097844322e+19 | ||
number of operations: inf | ||
sizes: | ||
sk: 32 | ||
pk: 3040700 | ||
ct|sig: 72 |
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name: BlueGeMSS128 | ||
security level: | ||
classical: 128 | ||
quantum: 74 | ||
nist category: 1 | ||
failure probability: -24204404 | ||
number of operations: inf | ||
sizes: | ||
sk: 16 | ||
pk: 363609 | ||
ct|sig: 34 |
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name: BlueGeMSS192 | ||
security level: | ||
classical: 192 | ||
quantum: 112 | ||
nist category: 3 | ||
failure probability: -6345039891167 | ||
number of operations: inf | ||
sizes: | ||
sk: 24 | ||
pk: 1264116 | ||
ct|sig: 53 |
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name: BlueGeMSS256 | ||
security level: | ||
classical: 256 | ||
quantum: 149 | ||
nist category: 5 | ||
failure probability: -1.3306513097844322e+19 | ||
number of operations: inf | ||
sizes: | ||
sk: 32 | ||
pk: 3087963 | ||
ct|sig: 74 |
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name: RedGeMSS128 | ||
security level: | ||
classical: 128 | ||
quantum: 74 | ||
nist category: 1 | ||
failure probability: -24204404 | ||
number of operations: inf | ||
sizes: | ||
sk: 16 | ||
pk: 375212 | ||
ct|sig: 36 |
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name: RedGeMSS192 | ||
security level: | ||
classical: 192 | ||
quantum: 112 | ||
nist category: 3 | ||
failure probability: -6345039891167 | ||
number of operations: inf | ||
sizes: | ||
sk: 24 | ||
pk: 1290543 | ||
ct|sig: 55 |
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