Received: from sog-mx-4.v43.ch3.sourceforge.com ([172.29.43.194] helo=mx.sourceforge.net) by sfs-ml-3.v29.ch3.sourceforge.com with esmtp (Exim 4.76) (envelope-from ) id 1WTzG1-0002Db-N5 for bitcoin-development@lists.sourceforge.net; Sat, 29 Mar 2014 19:49:33 +0000 X-ACL-Warn: Received: from wp059.webpack.hosteurope.de ([80.237.132.66]) by sog-mx-4.v43.ch3.sourceforge.com with esmtps (TLSv1:AES256-SHA:256) (Exim 4.76) id 1WTzFz-0001i5-Ml for bitcoin-development@lists.sourceforge.net; Sat, 29 Mar 2014 19:49:33 +0000 Received: from [37.143.74.116] (helo=[192.168.2.2]); authenticated by wp059.webpack.hosteurope.de running ExIM with esmtpsa (TLS1.0:RSA_AES_128_CBC_SHA1:16) id 1WTzFs-00049V-Ea; Sat, 29 Mar 2014 20:49:24 +0100 Content-Type: multipart/signed; boundary="Apple-Mail=_92409E08-E38A-4EF0-9EF0-38433B0F8A3B"; protocol="application/pgp-signature"; micalg=pgp-sha1 Mime-Version: 1.0 (Mac OS X Mail 6.6 \(1510\)) From: Tamas Blummer In-Reply-To: Date: Sat, 29 Mar 2014 20:49:23 +0100 Message-Id: References: <4906130.DUyjhm1C93@crushinator> <1396113933.8809.91.camel@mimiz> <3760502.BsfnhHlzm1@crushinator> To: Gregory Maxwell X-Mailer: Apple Mail (2.1510) X-bounce-key: webpack.hosteurope.de; tamas@bitsofproof.com; 1396122571; 1fdd2b58; X-Spam-Score: 1.0 (+) X-Spam-Report: Spam Filtering performed by mx.sourceforge.net. See http://spamassassin.org/tag/ for more details. 1.0 HTML_MESSAGE BODY: HTML included in message X-Headers-End: 1WTzFz-0001i5-Ml Cc: Bitcoin Dev , Dev Random Subject: Re: [Bitcoin-development] Presenting a BIP for Shamir's Secret Sharing of Bitcoin private keys X-BeenThere: bitcoin-development@lists.sourceforge.net X-Mailman-Version: 2.1.9 Precedence: list List-Id: List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Sat, 29 Mar 2014 19:49:33 -0000 --Apple-Mail=_92409E08-E38A-4EF0-9EF0-38433B0F8A3B Content-Type: multipart/alternative; boundary="Apple-Mail=_55AC491E-F38F-41E2-AF26-51B4DEFD6F3F" --Apple-Mail=_55AC491E-F38F-41E2-AF26-51B4DEFD6F3F Content-Transfer-Encoding: quoted-printable Content-Type: text/plain; charset=windows-1252 On 29.03.2014, at 18:46, Gregory Maxwell wrote: > In this case I don't see anything wrong with specifying secret > sharing, but I think=97 if possible=97 it should be carefully = constructed > so that the same polynomials and interpolation code can be used for > threshold signatures (when encoding compatible data). The paper = http://www.cs.princeton.edu/~stevenag/bitcoin_threshold_signatures.pdf does not mention anything special about the polynomial to use other = than: "random polynomial f of degree t - 1 such that d =3D f(0)" Do you have reasons to assume that there is more to this? Since this is = compatible with Matt's proposal. --Apple-Mail=_55AC491E-F38F-41E2-AF26-51B4DEFD6F3F Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset=windows-1252 gmaxwell@gmail.com> = wrote:
In this case I don't see anything = wrong with specifying secret
sharing, but I think=97 if possible=97 = it should be carefully constructed
so that the same polynomials and = interpolation code can be used for
threshold signatures (when = encoding compatible data).

does not mention anything special about the polynomial = to use other than:
 "random polynomial f of degree t - 1 = such that d =3D f(0)"

Do you have reasons to = assume that there is more to this? Since this is = compatible
with Matt's = proposal.

= --Apple-Mail=_55AC491E-F38F-41E2-AF26-51B4DEFD6F3F-- --Apple-Mail=_92409E08-E38A-4EF0-9EF0-38433B0F8A3B Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename=signature.asc Content-Type: application/pgp-signature; name=signature.asc Content-Description: Message signed with OpenPGP using GPGMail -----BEGIN PGP SIGNATURE----- Comment: GPGTools - http://gpgtools.org iQEcBAEBAgAGBQJTNyPDAAoJEPZykcUXcTkc3X0IAJBxu8OfYEYxdFpWNzNCAHj/ +0uPQimY2C5Y4fGgOG8tXzj9QoIFbbNAUNS6jWUZFoFCKEUEvyB9a5k4F7HYnNpe OyvsY3dcptB4Xpj43B/gkzRRVqypYqfpJP2Yh+joOxBOZFq3dD7MqtrC7rCGJcjL kbPbMHeJixIElrJlaLhpBr9WJD1vXjKWplqRf/ptYpximjRoLKjOcQsneVaRdWFz yh7uIdqaG6C4El+OtZPaI2uii6+EczqZgSK+UR8dmsbteP9Qg5Dkzu+mUjSzQSZx ry/Zxf05TL9NvlAeFdQGeKWtmMJZNelXbzvEFq1S3HCt2oEG6vG45uPgqb75neI= =IHHV -----END PGP SIGNATURE----- --Apple-Mail=_92409E08-E38A-4EF0-9EF0-38433B0F8A3B--