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::{twisted_edwards::TECurveConfig, AffineRepr, CurveGroup};
7use ark_ff::PrimeField;
8use digest::Digest;
9use digest::OutputSizeUser;
10use rand_core::CryptoRngCore;
11
12fn prune_buffer<F: PrimeField>(mut bytes: [u8; 32]) -> F {
13 bytes[0] &= 0b1111_1000;
14 bytes[31] &= 0b0111_1111;
15 bytes[31] |= 0b0100_0000;
16 F::from_le_bytes_mod_order(&bytes[..])
17}
18
19#[derive(Copy, Clone, Debug)]
20/// EdDSA secret key is 32 byte data
21pub struct SecretKey([u8; 32]);
22
23impl SecretKey {
24 fn expand<F: PrimeField, D: Digest>(&self) -> (F, [u8; 32]) {
25 let hash = D::new().chain_update(self.0).finalize();
26 let (buffer, hash_prefix) = hash.split_at(32);
27 let buffer: [u8; 32] = buffer.try_into().unwrap();
28 let hash_prefix: [u8; 32] = hash_prefix.try_into().unwrap();
29 let x = prune_buffer(buffer);
30 (x, hash_prefix)
31 }
32}
33
34#[derive(Copy, Clone, Debug)]
35/// `PublicKey` is EdDSA signature verification key
36pub struct PublicKey<A: AffineRepr>(A)
37where
38 A::Config: TECurveConfig;
39
40#[derive(Copy, Clone, Debug)]
41/// `SigningKey` produces EdDSA signatures for given message
42pub struct SigningKey<A: AffineRepr>
43where
44 A::Config: TECurveConfig,
45{
46 secret_key: SecretKey,
47 public_key: PublicKey<A>,
48}
49
50impl<A: AffineRepr> SigningKey<A>
51where
52 A::Config: TECurveConfig,
53 A::BaseField: PrimeField + Absorb,
54{
55 pub fn new<D: Digest>(secret_key: &SecretKey) -> Result<Self, Error> {
56 (<D as OutputSizeUser>::output_size() == 64)
57 .then_some(())
58 .ok_or(Error::BadOutputSize)?;
59
60 let (x, _) = secret_key.expand::<A::ScalarField, D>();
61 let public_key: A = (A::generator() * x).into_affine();
62 let signing_key = Self {
63 secret_key: *secret_key,
64 public_key: PublicKey(public_key),
65 };
66
67 Ok(signing_key)
68 }
69
70 pub fn generate<D: Digest>(rng: &mut impl CryptoRngCore) -> Result<Self, Error> {
71 let mut secret_key = SecretKey([0; 32]);
72 rng.fill_bytes(&mut secret_key.0);
73 Self::new::<D>(&secret_key)
74 }
75
76 pub fn public_key(&self) -> PublicKey<A> {
77 self.public_key
78 }
79
80 pub fn sign<D: Digest, E: Absorb>(
81 &self,
82 poseidon: &PoseidonConfig<A::BaseField>,
83 message: &[E],
84 ) -> Signature<A> {
85 let (x, prefix) = self.secret_key.expand::<A::ScalarField, D>();
86
87 let mut h = D::new();
88 h.update(prefix);
89 message
90 .iter()
91 .for_each(|m| h.update(m.to_sponge_bytes_as_vec()));
92 let r: A::ScalarField = crate::from_digest(h);
93 let sig_r = (A::generator() * r).into_affine();
94
95 let mut poseidon = PoseidonSponge::new(poseidon);
96 let (sig_r_x, sig_r_y) = sig_r.xy().unwrap();
97 poseidon.absorb(sig_r_x);
98 poseidon.absorb(sig_r_y);
99 let (vk_x, vk_y) = self.public_key.0.xy().unwrap();
100 poseidon.absorb(vk_x);
101 poseidon.absorb(vk_y);
102 message.iter().for_each(|m| poseidon.absorb(m));
103
104 let k = poseidon.squeeze_field_elements::<A::ScalarField>(1);
105 let k = k.first().unwrap();
106
107 let sig_s = (x * k) + r;
108
109 Signature::new(sig_r, sig_s)
110 }
111}
112
113impl<A: AffineRepr> PublicKey<A>
114where
115 A::Config: TECurveConfig,
116 A::BaseField: PrimeField + Absorb,
117{
118 pub fn verify<E: Absorb>(
119 &self,
120 poseidon: &PoseidonConfig<A::BaseField>,
121 message: &[E],
122 signature: &Signature<A>,
123 ) -> Result<(), Error> {
124 let mut poseidon = PoseidonSponge::new(poseidon);
125
126 let (sig_r_x, sig_r_y) = signature.r().xy().unwrap();
127 poseidon.absorb(sig_r_x);
128 poseidon.absorb(sig_r_y);
129 let (vk_x, vk_y) = self.0.xy().unwrap();
130 poseidon.absorb(vk_x);
131 poseidon.absorb(vk_y);
132 message.iter().for_each(|m| poseidon.absorb(m));
133
134 let k = poseidon.squeeze_field_elements::<A::ScalarField>(1);
135 let k = k.first().unwrap();
136
137 let kx_b = self.0 * k;
138 let s_b = A::generator() * signature.s();
139 let r_rec: A = (s_b - kx_b).into();
140
141 (signature.r() == &r_rec).then_some(()).ok_or(Error::Verify)
142 }
143}