Re: [Cfrg] ECC reboot
Ilari Liusvaara <ilari.liusvaara@elisanet.fi> Thu, 23 October 2014 19:28 UTC
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Date: Thu, 23 Oct 2014 22:28:01 +0300
From: Ilari Liusvaara <ilari.liusvaara@elisanet.fi>
To: Phillip Hallam-Baker <phill@hallambaker.com>
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References: <5218FD35-E00A-413F-ACCB-AA9B99DEF48B@shiftleft.org> <m3r3y6z3z8.fsf@carbon.jhcloos.org> <CA+Vbu7x4Y_=JZ9Ydp=U5QnJokL28QMQnV4XUn9S6+CUZR9ozEw@mail.gmail.com> <5444D89F.5080407@comodo.com> <90C609A5-ECB2-4FDC-9669-5830F3463D2B@akr.io> <5448DBE2.10107@comodo.com> <CACsn0cne95adtTbCf6WyAZGyCSyLXo5L0302rm7238yHAsE5EQ@mail.gmail.com> <54493DB1.5070204@akr.io> <CALCETrWjR4ROJJFBTo-zAVUg6t50ppm0O_fd=gf2tCr8-evDwg@mail.gmail.com> <CAMm+Lwi-X5_Bh-dwe54uzratLzpds=719F=hzpATCME4wDqxhA@mail.gmail.com>
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Subject: Re: [Cfrg] ECC reboot
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On Thu, Oct 23, 2014 at 02:17:35PM -0400, Phillip Hallam-Baker wrote: > > And the AVX-512 extensions provide 512 bit native registers. Those are vectored registers. The widest multiply appears to be 64x64->128. Even if 2^512-569 seems like it fits into 8x64 bits, unless you have good carry handling (you don't for SIMD on Intel CPUs), you need 9x64 bits for optimal speed. Now, the 9x64 bits could also store 2^521-1 (or 2^522-2), which have faster reductions due to constant being small and power of two (or 1). This explains why 2^521-1 is faster than 2^512-567, despite having to do 9 extra bits and seemingly break word boundary. Similarly, current fastest implementations for Curve25519 use 5x64 bits, not 4x64 bits. -Ilari
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Paterson, Kenny
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Johannes Merkle
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Paterson, Kenny
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Ilari Liusvaara
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Alyssa Rowan
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Andy Lutomirski
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Ilari Liusvaara
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Alyssa Rowan
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Johannes Merkle
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Alyssa Rowan
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Ilari Liusvaara
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Johannes Merkle
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Hallof, Andreas
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Manuel Pégourié-Gonnard
- Re: [Cfrg] ECC reboot (Was: When's the decision?) David Leon Gil
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Hallof, Andreas
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Watson Ladd
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Michael Hamburg
- Re: [Cfrg] ECC reboot (Was: When's the decision?) David Leon Gil
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Phillip Hallam-Baker
- Re: [Cfrg] Hardware requirements, Brainpool (was:… Alyssa Rowan
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Michael Hamburg
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Stephen Farrell
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Watson Ladd
- Re: [Cfrg] ECC reboot James Cloos
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Phillip Hallam-Baker
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Benjamin Black
- Re: [Cfrg] ECC reboot Benjamin Black
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Michael Hamburg
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Watson Ladd
- Re: [Cfrg] ECC reboot Rob Stradling
- Re: [Cfrg] ECC reboot Alyssa Rowan
- [Cfrg] W3C WebCrypto WG Liasioning [was Re: ECC r… Harry Halpin
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Lochter, Manfred
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Ilari Liusvaara
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Lochter, Manfred
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Tanja Lange
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Alyssa Rowan
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Lochter, Manfred
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Alyssa Rowan
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Johannes Merkle
- Re: [Cfrg] ECC reboot Rob Stradling
- Re: [Cfrg] ECC reboot (Was: When's the decision?) Ilari Liusvaara
- Re: [Cfrg] ECC reboot Watson Ladd
- Re: [Cfrg] ECC reboot Phillip Hallam-Baker
- Re: [Cfrg] ECC reboot Phillip Hallam-Baker
- Re: [Cfrg] ECC reboot Alyssa Rowan
- Re: [Cfrg] ECC reboot Andy Lutomirski
- Re: [Cfrg] ECC reboot Phillip Hallam-Baker
- Re: [Cfrg] ECC reboot Andy Lutomirski
- Re: [Cfrg] ECC reboot Ilari Liusvaara
- Re: [Cfrg] ECC reboot Michael Hamburg
- Re: [Cfrg] ECC reboot Rob Stradling
- Re: [Cfrg] ECC reboot Phillip Hallam-Baker
- Re: [Cfrg] ECC reboot Andy Lutomirski
- Re: [Cfrg] ECC reboot Watson Ladd
- Re: [Cfrg] ECC reboot Samuel Neves
- Re: [Cfrg] ECC reboot Michael Hamburg
- Re: [Cfrg] ECC reboot Michael Hamburg
- Re: [Cfrg] ECC reboot Ilari Liusvaara