Re: [Cfrg] Timing of libsodium, curve25519-donna, MSR ECCLib, and openssl-master
Andrey Jivsov <crypto@brainhub.org> Fri, 10 October 2014 02:54 UTC
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Date: Thu, 09 Oct 2014 19:54:18 -0700
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From: Andrey Jivsov <crypto@brainhub.org>
To: Mike Hamburg <mike@shiftleft.org>
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Subject: Re: [Cfrg] Timing of libsodium, curve25519-donna, MSR ECCLib, and openssl-master
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On Oct 8, 2014 11:52 PM, "Mike Hamburg" <mike@shiftleft.org> wrote: > > > On 10/8/2014 10:47 PM, Andrey Jivsov wrote: >> >> >> Montgomery curve has fewer underlying filed operations. The performance benefit will be lower than due to prime reduction/hardware/instruction assistance. However, given that the numbers are fairly close now, we can expect change in leadership depending on the mix of features. For example, a hypothetical mix of the P-256 underlying field operations found in the code that I timed and a Montgomery curve on top would probably move such an implementation into the lead in the tests I performed. > > Yeah, or getting Shay and Vlad to hand-tune an x25519 implementation :-) BTW, I may be wrong on this one, but the latest performance boost I reported yesterday is due to OpenSSL team, I believe. > >> P-256 has an advantage that it's in standards, widely deployed, can do point additions (without penalty of coordinate conversion), and you can get X.509 certs with it. It would have been easier to argue on its disadvantages if it had worse performance than it appears to have. I am aware of other disadvantages of P-256. >> >> In your other e-mail, Watson, regarding AVX2/vector operations + X25519, it's an interesting question. The issues here are: >> * will this hide some benefits of the 2^n-1 prime? > > Possibly. You probably won't be able to use Langley and Bernstein's carry handling techniques, but fewer coefficients is always good. >> >> * increase code complexity? > > Compared to a version without handwritten asm? The field arithmetic will definitely be more complex. ... and the combined code not so neat ... > >> * it seems that this is of no use to mobile devices (in the near future anyway) > > Curve25519 performs quite well on ARM NEON. My list is regarding vector operations. I was alluding that one of the driving forces for new ECC is its excellent performance on mobile devices but many of them don't have vector athithetic. Therefore, there is no immediate ownership apparent of such vectorized code (until it is in OpenSSL :-)). > >> * but servers will benefit from this. > > > Cheers, > -- Mike
- [Cfrg] Timing of libsodium, curve25519-donna, MSR… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Michael Hamburg
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… James Cloos
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Michael Hamburg
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Watson Ladd
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Mike Hamburg
- Re: [Cfrg] Timing of libsodium, curve25519-donna,… Andrey Jivsov