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pk not p

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Anthony Towns 2019-08-22 10:20:12 +10:00
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bip-schnorr.mediawiki
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@ -87,7 +87,7 @@ For example, without tagged hashing a bip-schnorr signature could also be valid
This proposal suggests to include the tag by prefixing the hashed data with ''SHA256(tag) || SHA256(tag)''. Because this is a 64-byte long context-specific constant, optimized implementations are possible (identical to SHA256 itself, but with a modified initial state). Using SHA256 of the tag name itself is reasonably simple and efficient for implementations that don't choose to use the optimization. This proposal suggests to include the tag by prefixing the hashed data with ''SHA256(tag) || SHA256(tag)''. Because this is a 64-byte long context-specific constant, optimized implementations are possible (identical to SHA256 itself, but with a modified initial state). Using SHA256 of the tag name itself is reasonably simple and efficient for implementations that don't choose to use the optimization.
'''Final scheme''' As a result, our final scheme ends up using public key ''pk'' which is the X coordinate of a point ''P'' on the curve whose Y coordinate is a quadratic residue and signatures ''(r,s)'' where ''r'' is the X coordinate of a point ''R'' whose Y coordinate is a quadratic residue. The signature satisfies ''sG = R + tagged_hash(r || p || m)P''. '''Final scheme''' As a result, our final scheme ends up using public key ''pk'' which is the X coordinate of a point ''P'' on the curve whose Y coordinate is a quadratic residue and signatures ''(r,s)'' where ''r'' is the X coordinate of a point ''R'' whose Y coordinate is a quadratic residue. The signature satisfies ''sG = R + tagged_hash(r || pk || m)P''.
=== Specification === === Specification ===