1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
use std::borrow::Borrow;
use bincode::{deserialize, serialize};
use curve25519_dalek::ristretto::RistrettoPoint;
use curve25519_dalek::traits::{Identity, MultiscalarMul};
use curve25519_dalek::{constants, scalar};
use ring::{error, rand};
use serde::{Deserialize, Serialize};
use sha3::{Digest, Sha3_256};
use super::*;
#[derive(Debug, Serialize, Deserialize)]
struct SerializableAbeRingSignature {
ring: Vec<([u8; 32], [u8; 32])>,
s: [u8; 32],
}
#[derive(Clone)]
pub struct AbeRingSignature {
ring: Vec<(PublicKey, scalar::Scalar)>,
s: scalar::Scalar,
}
pub struct AbeRingSigner<D> {
c: D,
z: RistrettoPoint,
ring: Vec<(PublicKey, scalar::Scalar)>,
}
impl AbeRingSignature {
pub fn verify(&self, data: &[u8]) -> bool {
self.verify_with_digest::<Sha3_256>(data)
}
pub fn verify_with_digest<D: Digest>(&self, data: &[u8]) -> bool {
let mut sum = scalar::Scalar::zero();
let mut digest = D::new();
let scalars = self.ring.iter().map(|&(_, ref c)| c);
let points = self.ring.iter().map(|&(ref p, _)| &p.inner);
let z = &self.s * &constants::RISTRETTO_BASEPOINT_TABLE
+ RistrettoPoint::multiscalar_mul(scalars, points);
for &(ref member, ref c) in self.ring.iter() {
sum += c;
digest.update(member.inner.compress().as_bytes());
}
digest.update(data);
digest.update(z.compress().as_bytes());
let hash = scalar_from_digest(digest);
sum -= hash;
sum == scalar::Scalar::zero()
}
pub fn serialize(&self) -> Vec<u8> {
serialize(&SerializableAbeRingSignature {
ring: self
.ring
.iter()
.map(|&(ref pk, ref scalar)| (pk.bytes(), scalar.to_bytes()))
.collect(),
s: self.s.to_bytes(),
})
.expect("Could not serialize RingSignature")
}
pub fn deserialize<B: AsRef<[u8]>>(bytes: B) -> Result<AbeRingSignature, error::Unspecified> {
let signature = deserialize::<SerializableAbeRingSignature>(bytes.as_ref())
.map_err(|_| error::Unspecified)?;
Ok(AbeRingSignature {
ring: signature
.ring
.into_iter()
.map(|(pk, scalar)| {
(
PublicKey::from_bytes(&pk).expect("Invalid public key"),
scalar::Scalar::from_bytes_mod_order(scalar),
)
})
.collect(),
s: scalar::Scalar::from_bytes_mod_order(signature.s),
})
}
}
impl<D: Digest> AbeRingSigner<D> {
pub fn push<R: rand::SecureRandom>(
&mut self,
pk: &PublicKey,
rng: &R,
) -> crate::crypto::Result<()> {
let c = random_scalar(rng)?;
self.z += c * pk.inner;
self.ring.push((pk.clone(), c));
Ok(())
}
pub fn push_many<R, Key, KeyList>(&mut self, pk: KeyList, rng: &R) -> crate::crypto::Result<()>
where
KeyList: AsRef<[Key]>,
R: rand::SecureRandom,
Key: Borrow<PublicKey>,
{
let pk = pk.as_ref();
let pk_iter = pk.iter().map(|k| k.borrow());
let scalars: Result<Vec<_>, _> = (0..pk.len()).map(|_| random_scalar(rng)).collect();
let scalars = scalars?;
self.z += RistrettoPoint::multiscalar_mul(&scalars, pk_iter.clone().map(|key| key.inner));
self.ring.extend(
pk_iter
.zip(scalars)
.map(|(key, scalar)| (key.clone(), scalar)),
);
Ok(())
}
pub fn finish<R: rand::SecureRandom>(
self,
sk: &PrivateKey,
position: usize,
rng: &R,
data: &[u8],
) -> crate::crypto::Result<AbeRingSignature> {
let alpha = random_scalar(rng)?;
let AbeRingSigner {
mut c,
mut z,
mut ring,
} = self;
z += &alpha * &constants::RISTRETTO_BASEPOINT_TABLE;
for item in &ring[0..position] {
c.update(item.0.inner.compress().as_bytes());
}
c.update(sk.compute_public_key()?.inner.compress().as_bytes());
for item in &ring[position..ring.len()] {
c.update(item.0.inner.compress().as_bytes());
}
c.update(data);
c.update(z.compress().as_bytes());
let mut ck = scalar_from_digest(c);
let mut sum = scalar::Scalar::zero();
for &(_, ref c) in ring.iter() {
sum += c;
}
ck -= sum;
ring.insert(position, (sk.compute_public_key()?, ck));
let s = alpha - ck * sk.inner;
let signature = AbeRingSignature { ring, s };
Ok(signature)
}
}
impl Default for AbeRingSigner<Sha3_256> {
fn default() -> Self {
AbeRingSigner {
c: Sha3_256::default(),
z: RistrettoPoint::identity(),
ring: Vec::new(),
}
}
}