arkeddsa/src/eddsa.rs
src/eddsa.rsRaw
1use crate::{signature::Signature, Error};
2use ark_crypto_primitives::sponge::{
3 poseidon::{PoseidonConfig, PoseidonSponge},
4 Absorb, CryptographicSponge,
5};
6use ark_ec::{
7 twisted_edwards::{Affine, TECurveConfig},
8 AffineRepr,
9};
10use ark_ff::PrimeField;
11use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
12use digest::Digest;
13use digest::OutputSizeUser;
14use rand_core::CryptoRngCore;
15
16fn prune_buffer<F: PrimeField>(mut bytes: [u8; 32]) -> F {
17 bytes[0] &= 0b1111_1000;
18 bytes[31] &= 0b0111_1111;
19 bytes[31] |= 0b0100_0000;
20 F::from_le_bytes_mod_order(&bytes[..])
21}
22
23#[derive(Copy, Clone, Debug)]
24/// EdDSA secret key is 32 byte data
25pub struct SecretKey([u8; 32]);
26
27impl SecretKey {
28 fn expand<F: PrimeField, D: Digest>(&self) -> (F, [u8; 32]) {
29 let hash = D::new().chain_update(self.0).finalize();
30 let (buffer, hash_prefix) = hash.split_at(32);
31 let buffer: [u8; 32] = buffer.try_into().unwrap();
32 let hash_prefix: [u8; 32] = hash_prefix.try_into().unwrap();
33 let x = prune_buffer(buffer);
34 (x, hash_prefix)
35 }
36
37 pub fn to_bytes(&self) -> [u8; 32] {
38 self.0
39 }
40
41 pub fn from_bytes(bytes: [u8; 32]) -> Self {
42 Self(bytes)
43 }
44}
45
46/// `PublicKey` is EdDSA signature verification key
47#[derive(Copy, Clone, Debug, CanonicalSerialize, CanonicalDeserialize)]
48pub struct PublicKey<TE: TECurveConfig>(Affine<TE>);
49
50impl<TE: TECurveConfig> PublicKey<TE> {
51 pub fn xy(&self) -> (&TE::BaseField, &TE::BaseField) {
52 self.as_ref().xy().unwrap()
53 }
54}
55
56impl<TE: TECurveConfig> From<Affine<TE>> for PublicKey<TE> {
57 fn from(affine: Affine<TE>) -> Self {
58 Self(affine)
59 }
60}
61
62impl<TE: TECurveConfig> AsRef<Affine<TE>> for PublicKey<TE> {
63 fn as_ref(&self) -> &Affine<TE> {
64 &self.0
65 }
66}
67
68#[derive(Copy, Clone, Debug)]
69/// `SigningKey` produces EdDSA signatures for given message
70pub struct SigningKey<TE: TECurveConfig> {
71 secret_key: SecretKey,
72 public_key: PublicKey<TE>,
73}
74
75impl<TE: TECurveConfig + Clone> SigningKey<TE>
76where
77 TE::BaseField: PrimeField + Absorb,
78{
79 pub fn new<D: Digest>(secret_key: &SecretKey) -> Result<Self, Error> {
80 (<D as OutputSizeUser>::output_size() == 64)
81 .then_some(())
82 .ok_or(Error::BadDigestOutput)?;
83
84 let (x, _) = secret_key.expand::<TE::ScalarField, D>();
85 let public_key: Affine<TE> = (Affine::<TE>::generator() * x).into();
86 let signing_key = Self {
87 secret_key: *secret_key,
88 public_key: PublicKey(public_key),
89 };
90
91 Ok(signing_key)
92 }
93
94 pub fn from_bytes<D: Digest>(bytes: [u8; 32]) -> Result<Self, Error> {
95 let secret_key = SecretKey::from_bytes(bytes);
96 Self::new::<D>(&secret_key)
97 }
98
99 pub fn generate<D: Digest>(rng: &mut impl CryptoRngCore) -> Result<Self, Error> {
100 let mut secret_key = SecretKey([0; 32]);
101 rng.fill_bytes(&mut secret_key.0);
102 Self::new::<D>(&secret_key)
103 }
104
105 pub fn public_key(&self) -> &PublicKey<TE> {
106 &self.public_key
107 }
108
109 pub fn sign<D: Digest, E: Absorb>(
110 &self,
111 poseidon: &PoseidonConfig<TE::BaseField>,
112 message: &[E],
113 ) -> Signature<TE> {
114 let (x, prefix) = self.secret_key.expand::<TE::ScalarField, D>();
115
116 let mut h = D::new();
117 h.update(prefix);
118 message
119 .iter()
120 .for_each(|m| h.update(m.to_sponge_bytes_as_vec()));
121 let r: TE::ScalarField = crate::from_digest(h);
122 let sig_r: Affine<TE> = (Affine::<TE>::generator() * r).into();
123
124 let mut poseidon = PoseidonSponge::new(poseidon);
125
126 let (sig_r_x, sig_r_y) = sig_r.xy().unwrap();
127 poseidon.absorb(sig_r_x);
128 poseidon.absorb(sig_r_y);
129 let (pk_x, pk_y) = self.public_key.0.xy().unwrap();
130 poseidon.absorb(pk_x);
131 poseidon.absorb(pk_y);
132 message.iter().for_each(|m| poseidon.absorb(m));
133
134 let k = poseidon.squeeze_field_elements::<TE::ScalarField>(1);
135 let k = k.first().unwrap();
136
137 let sig_s = (x * k) + r;
138
139 Signature::new(sig_r, sig_s)
140 }
141}
142
143impl<TE: TECurveConfig> SigningKey<TE> {
144 pub fn shared_key<D: Digest>(&self, recipient: &PublicKey<TE>) -> [u8; 32] {
145 let (x, _) = self.secret_key.expand::<TE::ScalarField, D>();
146 let shared_key: Affine<TE> = (*recipient.as_ref() * x).into();
147 let mut data = Vec::new();
148 shared_key.serialize_compressed(&mut data).unwrap();
149 data[00..32].try_into().unwrap()
150 }
151}
152
153impl<TE: TECurveConfig + Clone> PublicKey<TE>
154where
155 TE::BaseField: PrimeField + Absorb,
156{
157 pub fn verify<E: Absorb>(
158 &self,
159 poseidon: &PoseidonConfig<TE::BaseField>,
160 message: &[E],
161 signature: &Signature<TE>,
162 ) -> Result<(), Error> {
163 let mut poseidon = PoseidonSponge::new(poseidon);
164
165 let (sig_r_x, sig_r_y) = signature.r().xy().unwrap();
166 poseidon.absorb(sig_r_x);
167 poseidon.absorb(sig_r_y);
168 let (pk_x, pk_y) = self.0.xy().unwrap();
169 poseidon.absorb(pk_x);
170 poseidon.absorb(pk_y);
171 message.iter().for_each(|m| poseidon.absorb(m));
172
173 let k = poseidon.squeeze_field_elements::<TE::ScalarField>(1);
174 let k = k.first().unwrap();
175
176 let kx_b = self.0 * k;
177 let s_b = Affine::<TE>::generator() * signature.s();
178 let r_rec: Affine<TE> = (s_b - kx_b).into();
179
180 (signature.r() == &r_rec).then_some(()).ok_or(Error::Verify)
181 }
182}