Re: [Cfrg] Safecurves draft
Watson Ladd <watsonbladd@gmail.com> Thu, 09 January 2014 18:11 UTC
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Date: Thu, 09 Jan 2014 10:10:54 -0800
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From: Watson Ladd <watsonbladd@gmail.com>
To: Mike Hamburg <mike@shiftleft.org>
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Cc: "cfrg@irtf.org" <cfrg@irtf.org>
Subject: Re: [Cfrg] Safecurves draft
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On Thu, Jan 9, 2014 at 10:07 AM, Mike Hamburg <mike@shiftleft.org> wrote: > On Jan 9, 2014, at 7:26 AM, Bodo Moeller <bmoeller@acm.org> wrote: > > Robert Ransom <rransom.8774@gmail.com>: > >> > So while the Montgomery-form Curve25519 certainly has its use, allowing >> > applications to negotiate a different form for ECDH would be beneficial. >> > >> >> Even if the party which generates a public key uses Edwards-form >> points internally for that operation, whoever generates the key can >> put it into Montgomery form for free before scaling, whereas whoever >> receives it would need to perform an extra coordinate inversion in >> order to convert from Edwards form to affine Montgomery form. > > > That's a good point. As I've pointed out (or tried to point out, anyway), > the receiver might want to do the computations in Edwards form too, but > there's not that much to be gained from that, so it may not be worth the > extra complexity. > > Bodo > > > I agree. The sender might well use Edwards internally -- it's about 3x > faster -- but the point should be sent in Montgomery form. > > I wonder, though, if the standard encoding of the spec should have the sign > of the y-coordinate. That way if we want to use the format for something > other than ECDH -- signatures or PAKE or whatever -- we won't have to > specify a new encoding. > > An overly-complicated but cute solution is 1/sqrt(x) chosen with the same > sign as y. (x is always square if you're in the q-torsion; 1/x works just > as well as x in the ladder; 1/x lets you encode the identity.) But we > probably don't actually want to spec that. Maybe just a bit for sign(y)? This draft doesn't specify an encoding: it's up to whichever standard uses this draft to pick one. Specifying an encoding of an x coordinate, or x coordinate plus sign is easy enough. You could upload a draft to specify it in more detail if you want. I've uploaded a new version. > > -- Mike > > _______________________________________________ > Cfrg mailing list > Cfrg@irtf.org > http://www.irtf.org/mailman/listinfo/cfrg > -- "Those who would give up Essential Liberty to purchase a little Temporary Safety deserve neither Liberty nor Safety." -- Benjamin Franklin
- [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Stephen Farrell
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Manuel Pégourié-Gonnard
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Manuel Pégourié-Gonnard
- Re: [Cfrg] Safecurves draft Dan Harkins
- Re: [Cfrg] Safecurves draft Manuel Pégourié-Gonnard
- Re: [Cfrg] Safecurves draft Paul Lambert
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Alyssa Rowan
- Re: [Cfrg] Safecurves draft Stephen Farrell
- Re: [Cfrg] Safecurves draft Alyssa Rowan
- Re: [Cfrg] Safecurves draft Stephen Farrell
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Paul Lambert
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Paul Lambert
- Re: [Cfrg] Safecurves draft Isaac Chua
- Re: [Cfrg] Safecurves draft Dan Brown
- Re: [Cfrg] Safecurves draft Manuel Pégourié-Gonnard
- [Cfrg] Fwd: Re: Safecurves draft Alyssa Rowan
- Re: [Cfrg] Fwd: Re: Safecurves draft Manuel Pégourié-Gonnard
- Re: [Cfrg] Safecurves draft Adam Back
- Re: [Cfrg] Fwd: Re: Safecurves draft Robert Ransom
- Re: [Cfrg] Fwd: Re: Safecurves draft Manuel Pégourié-Gonnard
- Re: [Cfrg] Safecurves draft Johannes Merkle
- Re: [Cfrg] Safecurves draft Bodo Moeller
- Re: [Cfrg] Safecurves draft Robert Ransom
- Re: [Cfrg] Safecurves draft Bodo Moeller
- Re: [Cfrg] Safecurves draft Robert Ransom
- Re: [Cfrg] Safecurves draft Bodo Moeller
- Re: [Cfrg] Fwd: Re: Safecurves draft Robert Ransom
- Re: [Cfrg] Safecurves draft Mike Hamburg
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Jon Callas
- Re: [Cfrg] Safecurves draft Paul Lambert
- Re: [Cfrg] Safecurves draft Paul Lambert
- Re: [Cfrg] Safecurves draft Watson Ladd
- Re: [Cfrg] Safecurves draft Bodo Moeller
- Re: [Cfrg] Fwd: Re: Safecurves draft Manuel Pégourié-Gonnard
- Re: [Cfrg] Safecurves draft Robert Ransom
- Re: [Cfrg] Fwd: Re: Safecurves draft Robert Ransom