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From: Erik Aronesty <earonesty@gmail.com>
To: Tim Ruffing <crypto@timruffing.de>,
	 Bitcoin Protocol Discussion
	<bitcoin-dev@lists.linuxfoundation.org>
Subject: Re: [bitcoin-dev] Multiparty signatures
Date: Sun, 8 Jul 2018 14:23:45 -0400	[thread overview]
Message-ID: <CAJowKgL050GVKnadxHd=9qk=DdpZxs6gJ+8vYY1+7ss9tCJSBg@mail.gmail.com> (raw)
In-Reply-To: <08201f2292587821e6d23f6cc201d95e6e5ad2cd.camel@timruffing.de>

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You don't have to treat the hash as a group member for the purposes of
signing.

Everything else about the algorithm works the same.

This just enables signatures to be computed much more simply.

On Sun, Jul 8, 2018, 11:32 AM Tim Ruffing via bitcoin-dev <
bitcoin-dev@lists.linuxfoundation.org> wrote:

> Hi Erik,
>
> On Sun, 2018-07-08 at 10:19 -0400, Erik Aronesty via bitcoin-dev wrote:
> > Consider changing the "e" term in the schnorr algorithm to hash of
> > message (elligator style) to the power of r, rather than using
> > concatenation.
>
> How do you compute s = x*e if e is an element of group G?
> (Similar question: How do you verify if e is element of G?)
>
> Are you aware of
>  http://cacr.uwaterloo.ca/techreports/2001/corr2001-13.ps ?
> This is a threshold signature scheme for Schnorr signatures, so what
> you want is possible already with Schnorr signatures.
>
> Best,
> Tim
> _______________________________________________
> bitcoin-dev mailing list
> bitcoin-dev@lists.linuxfoundation.org
> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>

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  reply	other threads:[~2018-07-08 18:23 UTC|newest]

Thread overview: 26+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2018-07-08 14:19 [bitcoin-dev] Multiparty signatures Erik Aronesty
2018-07-08 15:16 ` Tim Ruffing
2018-07-08 18:23   ` Erik Aronesty [this message]
2018-07-08 21:01   ` Gregory Maxwell
2018-07-09  0:27     ` Erik Aronesty
2018-07-09  2:33       ` Pieter Wuille
2018-07-09  4:29         ` Erik Aronesty
2018-07-09  4:39           ` Pieter Wuille
     [not found]             ` <CAJowKg+=7nS4gNmtc8a4-2cu1uCOPqxjfchFwDVqUciKNMUYWQ@mail.gmail.com>
2018-07-09 15:02               ` Erik Aronesty
2018-07-09 15:57                 ` Dan Robinson
2018-07-09 15:59                 ` Gregory Maxwell
2018-07-09 16:33                   ` Erik Aronesty
2018-07-09 16:58                     ` Gregory Maxwell
2018-07-09 17:59                       ` Erik Aronesty
2018-07-10 11:46                         ` Erik Aronesty
2018-07-11 10:35                           ` Adam Back
2018-07-11 14:45                             ` Erik Aronesty
2018-07-19 12:16                               ` Erik Aronesty
2018-07-19 12:24                                 ` Erik Aronesty
2018-07-19 13:11                                 ` Russell O'Connor
2018-07-20 16:25                                   ` Erik Aronesty
2018-07-20 17:34                                     ` Erik Aronesty
2018-07-20 20:18                                       ` Erik Aronesty
2018-07-26  2:05                                         ` Erik Aronesty
2018-07-09 16:21                 ` Gregory Maxwell
2018-07-09  2:29 ` Pieter Wuille

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