schnorr

func Commit ¶

func Commit(V, R *btcec.PublicKey, m []byte) *btcec.PublicKey

Commit is calculatd by the following formula

sG = R - h(R, m) * V

Where

s: sign for the message m
G: elliptic curve base
R: R-point
m: message
V: oracle's public key

func CommitMulti ¶

func CommitMulti(
	V *btcec.PublicKey, Rs []*btcec.PublicKey, msgs [][]byte,
) *btcec.PublicKey

CommitMulti calculates a commitment by summing commitments of multiple msgs

func Sign ¶

func Sign(opriv, rpriv *btcec.PrivateKey, m []byte) []byte

Sign is calculated by the following formula

s = k - h(R, m) * v

Where

s: sign
h: hash function
k: random nonce
R: R-point R = kG
m: message
G: elliptic curve base
v: oracle's private key

Parameters:

rpriv: random point EC private key opriv: oracle's EC private key
m: message

func SumSigs ¶

func SumSigs(signs [][]byte) []byte

SumSigs sums signs up for a multi-message commitment

func Verify ¶

func Verify(P *btcec.PublicKey, sign []byte) bool

Verify verfies sG = R - h(R, m) * V