OracleSchnorrSignature.md

Oracle Schnorr Signature

Introduction

This document uses Schnorr Signature on an elliptic curve.

G is the base point of the elliptic curve.

Oracle public key and private key. V = vG

Random keys. R = rG

Sign is s.

Message is m.

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Schnorr Signature

sG = R - H(R,m)V
s = r - H(R,m)v

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Hash function

H(R,m) = sha256(R || m)

R is compress EC point.

Head is 0x02 or 0x03 and 33 bytes length.

So, concatenate message.

Example.

R = 02989df59fc563bb46c3970e5efb6849aaa60f4a6a3222e53d5437d108d4d0c75a
m = 00000001
H(R,m) = sha256(02989df59fc563bb46c3970e5efb6849aaa60f4a6a3222e53d5437d108d4d0c75a00000001)
       = 3bb02106aa486097945c3ade0a817b92f8de51e63d2967f647f7433109c3c8f7

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