1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
|
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 <tamas@bitsofproof.com>) 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 <tamas@bitsofproof.com>
In-Reply-To: <CAAS2fgTVo_j9NkDdHBw8mEDjw6i7yY2_Y5-Z=Yer7WUi0ZySQw@mail.gmail.com>
Date: Sat, 29 Mar 2014 20:49:23 +0100
Message-Id: <C8A29130-8456-472D-91BF-6231825FAD5C@bitsofproof.com>
References: <CACsn0ckScTWG4YxNCscxvtdsmcUkxtR2Gi-rdBs2HCkirPz5rA@mail.gmail.com>
<4906130.DUyjhm1C93@crushinator> <1396113933.8809.91.camel@mimiz>
<3760502.BsfnhHlzm1@crushinator>
<CAAS2fgTVo_j9NkDdHBw8mEDjw6i7yY2_Y5-Z=Yer7WUi0ZySQw@mail.gmail.com>
To: Gregory Maxwell <gmaxwell@gmail.com>
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 <bitcoin-development@lists.sourceforge.net>,
Dev Random <c1.devrandom@niftybox.net>
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: <bitcoin-development.lists.sourceforge.net>
List-Unsubscribe: <https://lists.sourceforge.net/lists/listinfo/bitcoin-development>,
<mailto:bitcoin-development-request@lists.sourceforge.net?subject=unsubscribe>
List-Archive: <http://sourceforge.net/mailarchive/forum.php?forum_name=bitcoin-development>
List-Post: <mailto:bitcoin-development@lists.sourceforge.net>
List-Help: <mailto:bitcoin-development-request@lists.sourceforge.net?subject=help>
List-Subscribe: <https://lists.sourceforge.net/lists/listinfo/bitcoin-development>,
<mailto:bitcoin-development-request@lists.sourceforge.net?subject=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 <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).
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
<html><head><meta http-equiv=3D"Content-Type" content=3D"text/html =
charset=3Dwindows-1252"></head><body style=3D"word-wrap: break-word; =
-webkit-nbsp-mode: space; -webkit-line-break: after-white-space; =
"><div><div>On 29.03.2014, at 18:46, Gregory Maxwell <<a =
href=3D"mailto:gmaxwell@gmail.com">gmaxwell@gmail.com</a>> =
wrote:</div><blockquote type=3D"cite">In this case I don't see anything =
wrong with specifying secret<br>sharing, but I think=97 if possible=97 =
it should be carefully constructed<br>so that the same polynomials and =
interpolation code can be used for<br>threshold signatures (when =
encoding compatible data).<br></blockquote></div><br><div>The =
paper <a =
href=3D"http://www.cs.princeton.edu/~stevenag/bitcoin_threshold_signatures=
.pdf">http://www.cs.princeton.edu/~stevenag/bitcoin_threshold_signatures.p=
df</a></div><div>does not mention anything special about the polynomial =
to use other than:</div><div> "random polynomial f of degree t - 1 =
such that d =3D f(0)"</div><div><br></div><div>Do you have reasons to =
assume that there is more to this? Since this is =
compatible</div><div>with Matt's =
proposal.</div><div><br></div></body></html>=
--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--
|