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7efbbf4745
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cSIDH-511: (#26)
Implementation of Commutative Supersingular Isogeny Diffie Hellman,
based on "A faster way to CSIDH" paper (2018/782).
* For fast isogeny calculation, implementation converts a curve from
Montgomery to Edwards. All calculations are done on Edwards curve
and then converted back to Montgomery.
* As multiplication in a field Fp511 is most expensive operation
the implementation contains multiple multiplications. It has
most performant, assembly implementation which uses BMI2 and
ADOX/ADCX instructions for modern CPUs. It also contains
slower implementation which will run on older CPUs
* Benchmarks (Intel SkyLake):
BenchmarkGeneratePrivate 6459 172213 ns/op 0 B/op 0 allocs/op
BenchmarkGenerateKeyPair 25 45800356 ns/op 0 B/op 0 allocs/op
BenchmarkValidate 297 3915983 ns/op 0 B/op 0 allocs/op
BenchmarkValidateRandom 184683 6231 ns/op 0 B/op 0 allocs/op
BenchmarkValidateGenerated 25 48481306 ns/op 0 B/op 0 allocs/op
BenchmarkDerive 19 60928763 ns/op 0 B/op 0 allocs/op
BenchmarkDeriveGenerated 8 137342421 ns/op 0 B/op 0 allocs/op
BenchmarkXMul 2311 494267 ns/op 1 B/op 0 allocs/op
BenchmarkXAdd 2396754 501 ns/op 0 B/op 0 allocs/op
BenchmarkXDbl 2072690 571 ns/op 0 B/op 0 allocs/op
BenchmarkIsom 78004 15171 ns/op 0 B/op 0 allocs/op
BenchmarkFp512Sub 224635152 5.33 ns/op 0 B/op 0 allocs/op
BenchmarkFp512Mul 246633255 4.90 ns/op 0 B/op 0 allocs/op
BenchmarkCSwap 233228547 5.10 ns/op 0 B/op 0 allocs/op
BenchmarkAddRdc 87348240 12.6 ns/op 0 B/op 0 allocs/op
BenchmarkSubRdc 95112787 11.7 ns/op 0 B/op 0 allocs/op
BenchmarkModExpRdc 25436 46878 ns/op 0 B/op 0 allocs/op
BenchmarkMulBmiAsm 19527573 60.1 ns/op 0 B/op 0 allocs/op
BenchmarkMulGeneric 7117650 164 ns/op 0 B/op 0 allocs/op
* Go code has very similar performance when compared to C
implementation.
Results from sidh_torturer (4e2996e12d68364761064341cbe1d1b47efafe23)
github.com:henrydcase/sidh-torture/csidh
| TestName |Go | C |
|------------------|----------|----------|
|TestSharedSecret | 57.95774 | 57.91092 |
|TestKeyGeneration | 62.23614 | 58.12980 |
|TestSharedSecret | 55.28988 | 57.23132 |
|TestKeyGeneration | 61.68745 | 58.66396 |
|TestSharedSecret | 63.19408 | 58.64774 |
|TestKeyGeneration | 62.34022 | 61.62539 |
|TestSharedSecret | 62.85453 | 68.74503 |
|TestKeyGeneration | 52.58518 | 58.40115 |
|TestSharedSecret | 50.77081 | 61.91699 |
|TestKeyGeneration | 59.91843 | 61.09266 |
|TestSharedSecret | 59.97962 | 62.98151 |
|TestKeyGeneration | 64.57525 | 56.22863 |
|TestSharedSecret | 56.40521 | 55.77447 |
|TestKeyGeneration | 67.85850 | 58.52604 |
|TestSharedSecret | 60.54290 | 65.14052 |
|TestKeyGeneration | 65.45766 | 58.42823 |
On average Go implementation is 2% faster.
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2019-11-25 15:03:29 +00:00 |
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