blob: 8481dbc17171e8b1d8e8db518b026fa3864176a8 (
plain)
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
|
Return-Path: <bitcoin-dev@wuille.net>
Received: from fraxinus.osuosl.org (smtp4.osuosl.org [140.211.166.137])
by lists.linuxfoundation.org (Postfix) with ESMTP id B4084C016F
for <bitcoin-dev@lists.linuxfoundation.org>;
Thu, 27 Aug 2020 01:10:33 +0000 (UTC)
Received: from localhost (localhost [127.0.0.1])
by fraxinus.osuosl.org (Postfix) with ESMTP id A96BA86CEF
for <bitcoin-dev@lists.linuxfoundation.org>;
Thu, 27 Aug 2020 01:10:33 +0000 (UTC)
X-Virus-Scanned: amavisd-new at osuosl.org
Received: from fraxinus.osuosl.org ([127.0.0.1])
by localhost (.osuosl.org [127.0.0.1]) (amavisd-new, port 10024)
with ESMTP id IlmXui_VpoP5
for <bitcoin-dev@lists.linuxfoundation.org>;
Thu, 27 Aug 2020 01:10:32 +0000 (UTC)
X-Greylist: from auto-whitelisted by SQLgrey-1.7.6
Received: from mail1.protonmail.ch (mail1.protonmail.ch [185.70.40.18])
by fraxinus.osuosl.org (Postfix) with ESMTPS id 5114486ACE
for <bitcoin-dev@lists.linuxfoundation.org>;
Thu, 27 Aug 2020 01:10:32 +0000 (UTC)
Date: Thu, 27 Aug 2020 01:10:21 +0000
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=wuille.net;
s=protonmail; t=1598490629;
bh=xjRN0SabOmtKdauCB3uiqdDj4FELQr0rbpPsnk/3Zx8=;
h=Date:To:From:Reply-To:Subject:In-Reply-To:References:From;
b=kDVAM1WAtFnYOJs0NNbEpiWX7iVj9CVdEIJQ2G83i3gNjgk0pJ10jbQDIr8ZVL1tz
5TV6BQJhddFnVW8BmssPSP77RDzwD7L67QvGONMulc1AK2XTppcHbmNWSqytVyruwq
XDHpwS8Y2oOsJ0ygcoMyYEq7u5wkx5Ygr5JdeHNM=
To: Bitcoin Protocol Discussion <bitcoin-dev@lists.linuxfoundation.org>
From: Pieter Wuille <bitcoin-dev@wuille.net>
Reply-To: Pieter Wuille <bitcoin-dev@wuille.net>
Message-ID: <DwS85N0KtcuFE7n5tHOg9C_nq1JSMg9qqpuhQn3mJhhTnLbvh6yHHxj8aqDzwHFNO9LnbHIQ-NsVevhxqUlHP1gL5iB-NpSdaLwt_s6ymGc=@wuille.net>
In-Reply-To: <CAFmfg2uL-gCV+1e1rf8+ywSUcEGTA01PP4jm+8kYub7R9E9hNw@mail.gmail.com>
References: <g7VgKBKlUmgMkNo6Nq1OkyilwW6Z4WbqeSZHXfvh_LDYmry5R7uGbavyEHtv2xr_0KBevL057TxSdlo_tS0_ucBXYNm8MuTu_jgyrGO9jpo=@wuille.net>
<CAFmfg2uL-gCV+1e1rf8+ywSUcEGTA01PP4jm+8kYub7R9E9hNw@mail.gmail.com>
MIME-Version: 1.0
Content-Type: multipart/alternative;
boundary="b1_vfX7DoHJrVnUSnX1XF178lwjdwSCO7NIRCZYSXHNYms"
X-Mailman-Approved-At: Thu, 27 Aug 2020 01:15:01 +0000
Subject: Re: [bitcoin-dev] Revisiting squaredness tiebreaker for R point in
BIP340
X-BeenThere: bitcoin-dev@lists.linuxfoundation.org
X-Mailman-Version: 2.1.15
Precedence: list
List-Id: Bitcoin Protocol Discussion <bitcoin-dev.lists.linuxfoundation.org>
List-Unsubscribe: <https://lists.linuxfoundation.org/mailman/options/bitcoin-dev>,
<mailto:bitcoin-dev-request@lists.linuxfoundation.org?subject=unsubscribe>
List-Archive: <http://lists.linuxfoundation.org/pipermail/bitcoin-dev/>
List-Post: <mailto:bitcoin-dev@lists.linuxfoundation.org>
List-Help: <mailto:bitcoin-dev-request@lists.linuxfoundation.org?subject=help>
List-Subscribe: <https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev>,
<mailto:bitcoin-dev-request@lists.linuxfoundation.org?subject=subscribe>
X-List-Received-Date: Thu, 27 Aug 2020 01:10:33 -0000
This is a multi-part message in MIME format.
--b1_vfX7DoHJrVnUSnX1XF178lwjdwSCO7NIRCZYSXHNYms
Content-Type: text/plain; charset=utf-8
Content-Transfer-Encoding: base64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==
--b1_vfX7DoHJrVnUSnX1XF178lwjdwSCO7NIRCZYSXHNYms
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: base64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=
--b1_vfX7DoHJrVnUSnX1XF178lwjdwSCO7NIRCZYSXHNYms--
|