From: Gregory Maxwell <gmaxwell@gmail•com>
To: Matt Whitlock <bip@mattwhitlock•name>
Cc: bitcoin-development <bitcoin-development@lists•sourceforge.net>
Subject: Re: [Bitcoin-development] Presenting a BIP for Shamir's Secret Sharing of Bitcoin private keys
Date: Fri, 4 Apr 2014 10:08:05 -0700 [thread overview]
Message-ID: <CAAS2fgTEMtH99yvwv_79UvUQjFOuZymHOaa1+ZzYmKvaUDPmTA@mail.gmail.com> (raw)
In-Reply-To: <1888881.3JyvKYNUFa@crushinator>
On Fri, Apr 4, 2014 at 9:36 AM, Matt Whitlock <bip@mattwhitlock•name> wrote:
> Are you proposing to switch from prime fields to a binary field? Because if you're going to "break up" a secret into little pieces, you can't assume that every piece of the secret will be strictly less than some 8-bit prime modulus. And if you're going to do a base conversion, then you have to do arbitrary-precision integer math anyway, so I don't see that the small field really saves you any code.
Yes, I'm proposing using the binary extension field of GF(2^8). There
are many secret sharing and data integrity applications available
already operating over GF(2^8) so you can go compare implementation
approaches without having to try them our yourself. Obviously anything
efficiently encoded as bytes will efficiently encode over GF(2^8).
> Weren't you just clamoring for implementation *simplicity* in your previous paragraph? :)
I do think there is a material difference in complexity that comes in
layers rather than at a single point. It's much easier to implement a
complex thing that has many individually testable parts then a single
complex part. (Implementing arithmetic mod some huge P is quite a bit
of work unless you're using some very high level language with
integrated bignums— and are comfortable hoping that their bignums are
sufficiently consistent with the spec).
next prev parent reply other threads:[~2014-04-04 17:08 UTC|newest]
Thread overview: 90+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-04-03 12:41 Nikita Schmidt
2014-04-03 21:42 ` Matt Whitlock
2014-04-04 13:51 ` Nikita Schmidt
2014-04-04 14:14 ` Gregory Maxwell
2014-04-04 16:05 ` Matt Whitlock
2014-04-04 16:25 ` Gregory Maxwell
2014-04-04 16:36 ` Matt Whitlock
2014-04-04 17:08 ` Gregory Maxwell [this message]
2014-04-04 17:16 ` Matt Whitlock
2014-04-04 17:51 ` Gregory Maxwell
2014-04-04 18:53 ` Matt Whitlock
2014-04-04 16:03 ` Matt Whitlock
2014-04-08 0:33 ` Nikita Schmidt
2014-04-08 0:38 ` Gregory Maxwell
2014-04-08 1:46 ` Matt Whitlock
2014-04-08 2:07 ` Gregory Maxwell
2014-04-08 11:52 ` Matt Whitlock
2014-04-10 22:31 ` Nikita Schmidt
2014-04-22 8:06 ` Jan Møller
2014-04-22 8:11 ` Matt Whitlock
2014-04-22 8:27 ` Jan Møller
2014-04-22 8:29 ` Matt Whitlock
2014-04-22 8:39 ` Jan Møller
2014-04-22 8:43 ` Matt Whitlock
2014-04-22 8:51 ` Jan Møller
2014-04-22 9:13 ` Matt Whitlock
2014-04-22 11:50 ` Justin A
2014-04-22 8:35 ` Matt Whitlock
2014-04-22 8:39 ` Tamas Blummer
2014-04-22 8:40 ` Matt Whitlock
2014-04-22 8:43 ` Tamas Blummer
2014-04-22 8:47 ` Matt Whitlock
2014-04-22 8:50 ` Tamas Blummer
2014-04-22 15:32 ` Mark Friedenbach
2014-04-22 15:49 ` Tamas Blummer
2014-04-22 17:03 ` Mark Friedenbach
2014-04-22 17:07 ` Jan Møller
2014-04-22 18:29 ` Tamas Blummer
2014-04-22 18:46 ` Gregory Maxwell
2014-04-23 5:33 ` Tamas Blummer
2014-04-23 6:16 ` Gregory Maxwell
2014-05-05 19:36 ` Nikita Schmidt
2014-05-12 12:09 ` Jan Møller
2014-08-14 19:23 ` Nikita Schmidt
2014-04-22 13:37 ` Nikita Schmidt
2014-04-22 8:15 ` Gregory Maxwell
2014-04-22 8:49 ` Jan Møller
[not found] <CACsn0ckScTWG4YxNCscxvtdsmcUkxtR2Gi-rdBs2HCkirPz5rA@mail.gmail.com>
2014-03-29 15:44 ` Matt Whitlock
2014-03-29 16:59 ` Alan Reiner
2014-03-29 17:19 ` Matt Whitlock
2014-03-29 17:52 ` Alan Reiner
2014-03-29 18:00 ` Matt Whitlock
2014-03-29 18:08 ` Alan Reiner
2014-03-29 18:10 ` Matt Whitlock
[not found] ` <CAAt2M18j7bGDsKouVw+e4j+FMiJ4vK6-sx+nrkwHyiKLqiH7Jg@mail.gmail.com>
2014-03-29 19:34 ` Natanael
2014-04-04 2:38 ` Jeff Garzik
2014-03-29 18:16 ` Tamas Blummer
2014-03-29 18:41 ` Alan Reiner
2014-03-29 17:28 ` Roy Badami
2014-03-29 17:42 ` Matt Whitlock
2014-03-29 17:51 ` Roy Badami
2014-03-29 17:28 ` devrandom
[not found] ` <1396113933.8809.91.camel@mimiz>
2014-03-29 17:38 ` Matt Whitlock
2014-03-29 17:46 ` Gregory Maxwell
2014-03-29 19:49 ` Tamas Blummer
2014-03-29 17:48 ` devrandom
2014-03-29 17:51 ` Matt Whitlock
2014-03-29 17:56 ` devrandom
-- strict thread matches above, loose matches on Subject: below --
2014-03-29 8:05 Matt Whitlock
2014-03-29 8:34 ` Tamas Blummer
2014-03-29 8:44 ` Tamas Blummer
2014-03-29 8:51 ` Matt Whitlock
2014-03-29 8:54 ` Matt Whitlock
2014-03-29 16:54 ` Matt Whitlock
2014-03-29 17:37 ` Tamas Blummer
2014-03-29 9:08 ` Chris Beams
2014-03-29 9:31 ` Matt Whitlock
2014-03-29 11:16 ` Matt Whitlock
2014-03-29 11:54 ` Chris Beams
2014-03-29 13:27 ` Jeff Garzik
2014-03-29 13:36 ` Mike Hearn
2014-03-29 13:38 ` Tamas Blummer
2014-03-29 14:10 ` Matt Whitlock
2014-03-29 14:19 ` Jeff Garzik
2014-03-29 14:55 ` Matt Whitlock
2014-03-29 15:04 ` Mike Hearn
2014-03-29 14:28 ` Watson Ladd
2014-03-29 14:36 ` Gregory Maxwell
2014-03-29 15:01 ` Matt Whitlock
2014-03-29 9:21 ` Chris Beams
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