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@@ -18,18 +18,18 @@ use std::borrow::Borrow;
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use std::convert::TryInto;
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use bls12_381::{G1Projective, G2Projective, Scalar};
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use digest::generic_array::typenum::Unsigned;
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use digest::Digest;
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use digest::generic_array::typenum::Unsigned;
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use group::GroupEncoding;
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use itertools::izip;
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use sha2::Sha256;
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use crate::{Attribute, elgamal, ElGamalKeyPair};
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use crate::elgamal::Ciphertext;
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use crate::error::{CoconutError, Result};
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use crate::scheme::setup::Parameters;
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use crate::scheme::VerificationKey;
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use crate::utils::{hash_g1, try_deserialize_scalar, try_deserialize_scalar_vec};
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use crate::{elgamal, Attribute, ElGamalKeyPair};
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// as per the reference python implementation
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type ChallengeDigest = Sha256;
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@@ -51,10 +51,10 @@ pub struct ProofCmCs {
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// and as per the bls12-381 library all elements are using big-endian form
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/// Generates a Scalar [or Fp] challenge by hashing a number of elliptic curve points.
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fn compute_challenge<D, I, B>(iter: I) -> Scalar
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where
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D: Digest,
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I: Iterator<Item = B>,
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B: AsRef<[u8]>,
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where
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D: Digest,
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I: Iterator<Item=B>,
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B: AsRef<[u8]>,
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{
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let mut h = D::new();
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for point_representation in iter {
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@@ -82,8 +82,8 @@ fn produce_response(witness: &Scalar, challenge: &Scalar, secret: &Scalar) -> Sc
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// note: it's caller's responsibility to ensure witnesses.len() = secrets.len()
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fn produce_responses<S>(witnesses: &[Scalar], challenge: &Scalar, secrets: &[S]) -> Vec<Scalar>
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where
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S: Borrow<Scalar>,
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where
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S: Borrow<Scalar>,
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{
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debug_assert_eq!(witnesses.len(), secrets.len());
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@@ -150,10 +150,10 @@ impl ProofCmCs {
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// Ccm = (wr * g1) + (wm[0] * hs[0]) + ... + (wm[i] * hs[i])
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let commitment_attributes = g1 * witness_commitment_opening
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+ witness_attributes
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.iter()
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.zip(params.gen_hs().iter())
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.map(|(wm_i, hs_i)| hs_i * wm_i)
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.sum::<G1Projective>();
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.iter()
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.zip(params.gen_hs().iter())
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.map(|(wm_i, hs_i)| hs_i * wm_i)
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.sum::<G1Projective>();
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let ciphertexts_bytes = priv_attributes_ciphertexts
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.iter()
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@@ -244,19 +244,19 @@ impl ProofCmCs {
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self.response_keys.iter(),
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self.response_attributes.iter()
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)
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.map(|(c2, res_key, res_attr)| c2 * self.challenge + pub_key * res_key + h * res_attr)
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.map(|witness| witness.to_bytes())
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.collect::<Vec<_>>();
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.map(|(c2, res_key, res_attr)| c2 * self.challenge + pub_key * res_key + h * res_attr)
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.map(|witness| witness.to_bytes())
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.collect::<Vec<_>>();
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// Cw = (cm * c) + (rr * g1) + (rm[0] * hs[0]) + ... + (rm[n] * hs[n])
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let commitment_attributes = commitment * self.challenge
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+ g1 * self.response_opening
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+ self
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.response_attributes
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.iter()
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.zip(params.gen_hs().iter())
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.map(|(res_attr, hs)| hs * res_attr)
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.sum::<G1Projective>();
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.response_attributes
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.iter()
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.zip(params.gen_hs().iter())
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.map(|(res_attr, hs)| hs * res_attr)
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.sum::<G1Projective>();
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let ciphertexts_bytes = attributes_ciphertexts
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.iter()
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@@ -413,10 +413,10 @@ impl ProofKappaNu {
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let commitment_kappa = params.gen2() * witness_blinder
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+ verification_key.alpha
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+ witness_attributes
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.iter()
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.zip(verification_key.beta.iter())
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.map(|(wm_i, beta_i)| beta_i * wm_i)
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.sum::<G2Projective>();
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.iter()
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.zip(verification_key.beta.iter())
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.map(|(wm_i, beta_i)| beta_i * wm_i)
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.sum::<G2Projective>();
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// zeta is the public value associated with the serial number
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let commitment_zeta = params.gen2() * witness_serial_number;
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@@ -470,10 +470,10 @@ impl ProofKappaNu {
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+ params.gen2() * self.response_blinder
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+ verification_key.alpha * (Scalar::one() - self.challenge)
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+ response_attributes
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.iter()
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.zip(verification_key.beta.iter())
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.map(|(priv_attr, beta_i)| beta_i * priv_attr)
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.sum::<G2Projective>();
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.iter()
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.zip(verification_key.beta.iter())
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.map(|(priv_attr, beta_i)| beta_i * priv_attr)
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.sum::<G2Projective>();
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// zeta is the public value associated with the serial number
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let commitment_zeta = zeta * self.challenge + params.gen2() * self.response_serial_number;
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@@ -482,7 +482,7 @@ impl ProofKappaNu {
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let challenge = compute_challenge::<ChallengeDigest, _, _>(
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std::iter::once(params.gen2().to_bytes().as_ref())
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.chain(std::iter::once(kappa.to_bytes().as_ref()))
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.chain(std::iter::once(zeta.to_bytes().as_ref())) //kappa
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.chain(std::iter::once(zeta.to_bytes().as_ref()))
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.chain(std::iter::once(verification_key.alpha.to_bytes().as_ref()))
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.chain(beta_bytes.iter().map(|b| b.as_ref()))
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.chain(std::iter::once(commitment_kappa.to_bytes().as_ref()))
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