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To: Gregory Maxwell <gmaxwell@gmail.com>
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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
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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.


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<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 &lt;<a =
href=3D"mailto:gmaxwell@gmail.com">gmaxwell@gmail.com</a>&gt; =
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&nbsp;<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>&nbsp;"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>=

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