Date: Thu, 13 Sep 2018 18:46:50 +0000
From: Andrew Poelstra <apoelstra@wpsoftware.net>
To: Erik Aronesty <erik@q32.com>,
	Bitcoin Protocol Discussion <bitcoin-dev@lists.linuxfoundation.org>
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Subject: Re: [bitcoin-dev] Schnorr signatures BIP
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On Tue, Sep 11, 2018 at 01:37:59PM -0400, Erik Aronesty via bitcoin-dev wro=
te:
> - Musig, by being M of M, is inherently prone to loss.
>

It has always been possible to create M-of-N threshold MuSig signatures for=
 any
M, N with 0 < M =E2=89=A4 N. This is (a) obvious, (b) in our paper, (c) imp=
lemented at

https://github.com/apoelstra/secp256k1/blob/2018-04-taproot/src/modules/mus=
ig/main_impl.h=20

--=20
Andrew Poelstra
Research Director, Mathematics Department, Blockstream
Email: apoelstra at wpsoftware.net
Web:   https://www.wpsoftware.net/andrew

"Make it stop, my love; we were wrong to try
 Never saw what we could unravel in traveling light
 Nor how the trip debrides like a stack of slides
 All we saw was that time is taller than space is wide"
       --Joanna Newsom


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S6XtIL3Y2+tRPjpXEZ/JoK1HaBiEJqF5XXUR5HSVVsWAnrqf5S6Vg9Z9ujUCrMxX
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