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sonic: add protocol steps

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narodnik
2021-07-17 11:24:41 +02:00
parent 8663911041
commit cd11aecbd8
1 changed files with 11 additions and 2 deletions
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13
scripts/halo/sonic.py
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@@ -170,26 +170,35 @@ print(const_t)
# zkP1
# 4 blinding factors since we evaluate r(X, Y) 3 times
# Blind r(X, Y)
for i in range(1, 4):
blind_c_i = misc.sample_random(fp)
r_x_y += x**(-2*n - i) * y**(-2*n - i) * blind_c_i
# Commit to r(X, Y)
# zkV1
# Send a random y
y = misc.sample_random(fp)
challenge_y = misc.sample_random(fp)
# zkP2
# Commit to t(X, y)
# zkV2
# Send a random z
z = misc.sample_random(fp)
challenge_z = misc.sample_random(fp)
# zkP3
# Evaluate a = r(z, 1)
a = r_x_y.evaluate({x.name: challenge_z, y.name: fp(1)})
# Evaluate b = r(z, y)
b = r_x_y.evaluate({x.name: challenge_z, y.name: challenge_y})
# Evaluate t = t(z, y)
t = t_x_y.evaluate({x.name: challenge_z, y.name: challenge_y})
# Evaluate s = s(z, y)
s = s_x_y.evaluate({x.name: challenge_z, y.name: challenge_y})
# zkV3
# Recalculate t from a, b and s
k = k_y.evaluate({y.name: challenge_y})
t = a * (b + s) - k
# Verify polynomial commitments