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From: Gregory Maxwell <gmaxwell@gmail•com>
To: Watson Ladd <wbl@uchicago•edu>
Cc: Bitcoin Dev <bitcoin-development@lists•sourceforge.net>
Subject: Re: [Bitcoin-development] Presenting a BIP for Shamir's Secret Sharing of Bitcoin private keys
Date: Sat, 29 Mar 2014 07:36:58 -0700	[thread overview]
Message-ID: <CAAS2fgRCuQ+WtaMOr45cPh6bFmajweSAfPJse85Rh3bYjtdE3Q@mail.gmail.com> (raw)
In-Reply-To: <CACsn0cn8cFn79dMi7M3uALE5KDFJOzxK4PdFyRR8j56FygnQZg@mail.gmail.com>

On Sat, Mar 29, 2014 at 7:28 AM, Watson Ladd <wbl@uchicago•edu> wrote:
> This is not the case: one can use MPC techniques to compute a
> signature from shares without reconstructing the private key. There is
> a paper on this for bitcoin, but I don't know where it is.

Practically speaking you cannot unless the technique used is one
carefully selected to make it possible. This proposal isn't such a
scheme I beleieve, however,  and I think I'd strongly prefer that we
BIP standardize a formulation which also has this property.

The paper you want is
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.9913

There will soon be a paper coming out from some princeton folks about
refining that and applying it to Bitcoin.

You can use the secret sharing from threshold ecdsa in the
not-super-useful way where you just recombine the private key and
sign... but you can also use it to compute a secret shared signature
and then interpolate back the signature... avoiding the need for any
trusted device in holding the signature.



  reply	other threads:[~2014-03-29 14:37 UTC|newest]

Thread overview: 90+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
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 [this message]
2014-03-29 15:01                 ` Matt Whitlock
2014-03-29  9:21 ` Chris Beams
     [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
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
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

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