From: Gregory Maxwell <gmaxwell@gmail.com>
To: Nikita Schmidt <nikita@megiontechnologies.com>
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 07:14:12 -0700 [thread overview]
Message-ID: <CAAS2fgQd6_DAPnYtXUKN8sL=MfrySBaRZWHfPtoKUw=p2=9OYA@mail.gmail.com> (raw)
In-Reply-To: <CAC7yFxQXn=c7CEC326yMx4bF7Cv7Gc62shS7xU0XvSp5sQSGZw@mail.gmail.com>
On Fri, Apr 4, 2014 at 6:51 AM, Nikita Schmidt
<nikita@megiontechnologies.com> wrote:
> Fair enough. Although I would have chosen the field order (p) simply
> because that's how all arithmetic already works in bitcoin. One field
> for everybody. It's also very close to 2^256, although still smaller
> than your maximum prime. Now of course with different bit lengths we
> have to pick one consistency over others.
Operation mod the group order is how secret keys must be combined in
type-2 private derivation for BIP-32. It's also absolutely essential
if you want to build a secret sharing scheme in which the shares are
usable for threshold ECDSA.
I still repeat my concern that any private key secret sharing scheme
really ought to be compatible with threshold ECDSA, otherwise we're
just going to have another redundant specification.
next prev parent reply other threads:[~2014-04-04 14:14 UTC|newest]
Thread overview: 90+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-04-03 12:41 [Bitcoin-development] Presenting a BIP for Shamir's Secret Sharing of Bitcoin private keys Nikita Schmidt
2014-04-03 21:42 ` Matt Whitlock
2014-04-04 13:51 ` Nikita Schmidt
2014-04-04 14:14 ` Gregory Maxwell [this message]
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
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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