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From: <jl2012@xbt.hk>
To: "'Tier Nolan'" <tier.nolan@gmail.com>
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Cc: bitcoin-dev@lists.linuxfoundation.org
Subject: Re: [bitcoin-dev] BIP CPRKV: Check private key verify
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I just realize that if we have OP_CAT, OP_CHECKPRIVATEKEYVERIFY (aka =
OP_CHECKPRIVPUBPAIR) is not needed (and is probably better for privacy)

=20

Bob has the prikey-x for pubkey-x. Alice and Bob will agree to a random =
secret nonce, k. They calculate r, in the same way as signing a =
transaction.

=20

The script is:

=20

SIZE <r-length + 1> ADD <0x30> SWAP CAT <0x02|r-length|r> CAT SWAP CAT =
<pubkey-x> CECHKSIGVERIFY <Bob pubkey hash> CHECKSIG

=20

To redeem, Bob has to provide:

=20

<Bob sig> <0x02|s-length|s|sighashtype>

=20

With k, s and sighash, Alice (and only Alice) can recover the prikey-x =
with the well-known k-reuse exploit

( =
https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm =
)

=20

The script will be much cleaner if we remove the DER encoding in the =
next generation of CHECKSIG

=20

The benefit is prikey-x remains a secret among Alice and Bob. If they =
don=E2=80=99t mind exposing the prikey-x, they could use r =3D x =
coordinate of pubkey-x, which means k =3D prikey-x =
(https://bitcointalk.org/index.php?topic=3D291092.0) This would reduce =
the witness size a little bit as a DUP may be used

=20

From: bitcoin-dev-bounces@lists.linuxfoundation.org =
[mailto:bitcoin-dev-bounces@lists.linuxfoundation.org] On Behalf Of Tier =
Nolan via bitcoin-dev
Sent: Monday, 29 February, 2016 19:53
Cc: Bitcoin Dev <bitcoin-dev@lists.linuxfoundation.org>
Subject: Re: [bitcoin-dev] BIP CPRKV: Check private key verify

=20

On Mon, Feb 29, 2016 at 10:58 AM, Mats Jerratsch <matsjj@gmail.com =
<mailto:matsjj@gmail.com> > wrote:

This is actually very useful for LN too, see relevant discussion here

http://lists.linuxfoundation.org/pipermail/bitcoin-dev/2015-November/0118=
27.html

=20

Is there much demand for trying to code up a patch to the reference =
client?  I did a basic one, but it would need tests etc. added.

I think that segregated witness is going to be using up any potential =
soft-fork slot for the time being anyway.


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<o:idmap v:ext=3D"edit" data=3D"1" />
</o:shapelayout></xml><![endif]--></head><body lang=3DEN-HK link=3Dblue =
vlink=3Dpurple><div class=3DWordSection1><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>I just =
realize that if we have OP_CAT, OP_CHECKPRIVATEKEYVERIFY (aka =
OP_CHECKPRIVPUBPAIR) is not needed (and is probably better for =
privacy)<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>Bob has the =
prikey-x for pubkey-x. Alice and Bob will agree to a random secret =
nonce, k. They calculate r, in the same way as signing a =
transaction.<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>The script =
is:<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>SIZE =
&lt;r-length + 1&gt; ADD &lt;0x30&gt; SWAP CAT &lt;0x02|r-length|r&gt; =
CAT SWAP CAT &lt;pubkey-x&gt; CECHKSIGVERIFY &lt;Bob pubkey hash&gt; =
CHECKSIG<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>To redeem, =
Bob has to provide:<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>&lt;Bob =
sig&gt; &lt;0x02|s-length|s|sighashtype&gt;<o:p></o:p></span></p><p =
class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>With k, s =
and sighash, Alice (and only Alice) can recover the prikey-x with the =
well-known k-reuse exploit<o:p></o:p></span></p><p =
class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>( <a =
href=3D"https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Al=
gorithm">https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_A=
lgorithm</a> )<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>The script =
will be much cleaner if we remove the DER encoding in the next =
generation of CHECKSIG<o:p></o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>The benefit =
is prikey-x remains a secret among Alice and Bob. If they don=E2=80=99t =
mind exposing the prikey-x, they could use r =3D x coordinate of =
pubkey-x, which means k =3D prikey-x (<a =
href=3D"https://bitcointalk.org/index.php?topic=3D291092.0">https://bitco=
intalk.org/index.php?topic=3D291092.0</a>) This would reduce the witness =
size a little bit as a DUP may be used<o:p></o:p></span></p><p =
class=3DMsoNormal><span =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'><o:p>&nbsp;</=
o:p></span></p><p class=3DMsoNormal><b><span lang=3DEN-US =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'>From:</span><=
/b><span lang=3DEN-US =
style=3D'font-size:11.0pt;font-family:"Calibri",sans-serif'> =
bitcoin-dev-bounces@lists.linuxfoundation.org =
[mailto:bitcoin-dev-bounces@lists.linuxfoundation.org] <b>On Behalf Of =
</b>Tier Nolan via bitcoin-dev<br><b>Sent:</b> Monday, 29 February, 2016 =
19:53<br><b>Cc:</b> Bitcoin Dev =
&lt;bitcoin-dev@lists.linuxfoundation.org&gt;<br><b>Subject:</b> Re: =
[bitcoin-dev] BIP CPRKV: Check private key =
verify<o:p></o:p></span></p><p =
class=3DMsoNormal><o:p>&nbsp;</o:p></p><div><div><div><p =
class=3DMsoNormal>On Mon, Feb 29, 2016 at 10:58 AM, Mats Jerratsch =
&lt;<a href=3D"mailto:matsjj@gmail.com" =
target=3D"_blank">matsjj@gmail.com</a>&gt; =
wrote:<o:p></o:p></p><blockquote style=3D'border:none;border-left:solid =
#CCCCCC 1.0pt;padding:0cm 0cm 0cm =
6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0cm;margin-bottom:5=
.0pt'><p class=3DMsoNormal>This is actually very useful for LN too, see =
relevant discussion here<br><br><a =
href=3D"http://lists.linuxfoundation.org/pipermail/bitcoin-dev/2015-Novem=
ber/011827.html" =
target=3D"_blank">http://lists.linuxfoundation.org/pipermail/bitcoin-dev/=
2015-November/011827.html</a><o:p></o:p></p></blockquote><div><p =
class=3DMsoNormal><o:p>&nbsp;</o:p></p></div><div><p class=3DMsoNormal =
style=3D'margin-bottom:12.0pt'>Is there much demand for trying to code =
up a patch to the reference client?&nbsp; I did a basic one, but it =
would need tests etc. added.<o:p></o:p></p></div><div><p =
class=3DMsoNormal>I think that segregated witness is going to be using =
up any potential soft-fork slot for the time being =
anyway.<o:p></o:p></p></div></div></div></div></div></body></html>
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