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
//! Elliptic Curve Digital Signature Algorithm (ECDSA)
//!
//! This module contains support for computing and verifying ECDSA signatures.
//! To use it, you will need to enable one of the two following Cargo features:
//!
//! - `ecdsa-core`: provides only the [`Signature`] type (which represents an
//!   ECDSA/P-256 signature). Does not require the `arithmetic` feature.
//!   This is useful for 3rd-party crates which wish to use the `Signature`
//!   type for interoperability purposes (particularly in conjunction with the
//!   [`signature::Signer`] trait. Example use cases for this include other
//!   software implementations of ECDSA/P-256 and wrappers for cloud KMS
//!   services or hardware devices (HSM or crypto hardware wallet).
//! - `ecdsa`: provides `ecdsa-core` features plus the [`SigningKey`] and
//!   [`VerifyKey`] types which natively implement ECDSA/P-256 signing and
//!   verification.
//!
//! ## Signing/Verification Example
//!
//! This example requires the `ecdsa` Cargo feature is enabled:
//!
//! ```
//! # #[cfg(feature = "ecdsa")]
//! # {
//! use p256::{
//!     ecdsa::{SigningKey, Signature, signature::Signer},
//! };
//! use rand_core::OsRng; // requires 'getrandom' feature
//!
//! // Signing
//! let signing_key = SigningKey::random(&mut OsRng); // Serialize with `::to_bytes()`
//! let message = b"ECDSA proves knowledge of a secret number in the context of a single message";
//! let signature = signing_key.sign(message);
//!
//! // Verification
//! use p256::ecdsa::{VerifyKey, signature::Verifier};
//!
//! let verify_key = VerifyKey::from(&signing_key); // Serialize with `::to_encoded_point()`
//! assert!(verify_key.verify(message, &signature).is_ok());
//! # }
//! ```

pub use ecdsa_core::signature::{self, Error};

use super::NistP256;

#[cfg(feature = "ecdsa")]
use {
    crate::{AffinePoint, ProjectivePoint, Scalar},
    core::borrow::Borrow,
    ecdsa_core::hazmat::{SignPrimitive, VerifyPrimitive},
    elliptic_curve::ops::Invert,
};

/// ECDSA/P-256 signature (fixed-size)
pub type Signature = ecdsa_core::Signature<NistP256>;

/// ECDSA/P-256 signature (ASN.1 DER encoded)
pub type Asn1Signature = ecdsa_core::asn1::Signature<NistP256>;

/// ECDSA/P-256 signing key
#[cfg(feature = "ecdsa")]
#[cfg_attr(docsrs, doc(cfg(feature = "ecdsa")))]
pub type SigningKey = ecdsa_core::SigningKey<NistP256>;

/// ECDSA/P-256 verification key (i.e. public key)
#[cfg(feature = "ecdsa")]
#[cfg_attr(docsrs, doc(cfg(feature = "ecdsa")))]
pub type VerifyKey = ecdsa_core::VerifyKey<NistP256>;

#[cfg(not(feature = "ecdsa"))]
impl ecdsa_core::CheckSignatureBytes for NistP256 {}

#[cfg(all(feature = "ecdsa", feature = "sha256"))]
impl ecdsa_core::hazmat::DigestPrimitive for NistP256 {
    type Digest = sha2::Sha256;
}

#[cfg(feature = "ecdsa")]
impl SignPrimitive<NistP256> for Scalar {
    #[allow(clippy::many_single_char_names)]
    fn try_sign_prehashed<K>(&self, ephemeral_scalar: &K, z: &Scalar) -> Result<Signature, Error>
    where
        K: Borrow<Scalar> + Invert<Output = Scalar>,
    {
        let k_inverse = ephemeral_scalar.invert();
        let k = ephemeral_scalar.borrow();

        if k_inverse.is_none().into() || k.is_zero().into() {
            return Err(Error::new());
        }

        let k_inverse = k_inverse.unwrap();

        // Compute `x`-coordinate of affine point 𝑘×𝑮
        let x = (ProjectivePoint::generator() * k).to_affine().x;

        // Lift `x` (element of base field) to serialized big endian integer,
        // then reduce it to an element of the scalar field
        let r = Scalar::from_bytes_reduced(&x.to_bytes());

        // Compute `s` as a signature over `r` and `z`.
        let s = k_inverse * (z + &(r * self));

        if s.is_zero().into() {
            return Err(Error::new());
        }

        Signature::from_scalars(r, s)
    }
}

#[cfg(feature = "ecdsa")]
impl VerifyPrimitive<NistP256> for AffinePoint {
    fn verify_prehashed(&self, z: &Scalar, signature: &Signature) -> Result<(), Error> {
        let r = signature.r();
        let s = signature.s();
        let s_inv = s.invert().unwrap();
        let u1 = z * &s_inv;
        let u2 = *r * s_inv;

        let x = ((ProjectivePoint::generator() * u1) + (ProjectivePoint::from(*self) * u2))
            .to_affine()
            .x;

        if Scalar::from_bytes_reduced(&x.to_bytes()) == *r {
            Ok(())
        } else {
            Err(Error::new())
        }
    }
}

#[cfg(all(test, feature = "ecdsa"))]
mod tests {
    use crate::{
        ecdsa::{signature::Signer, SigningKey},
        test_vectors::ecdsa::ECDSA_TEST_VECTORS,
        BlindedScalar, Scalar,
    };
    use ecdsa_core::hazmat::SignPrimitive;
    use elliptic_curve::{ff::PrimeField, generic_array::GenericArray, rand_core::OsRng};
    use hex_literal::hex;

    // Test vector from RFC 6979 Appendix 2.5 (NIST P-256 + SHA-256)
    // <https://tools.ietf.org/html/rfc6979#appendix-A.2.5>
    #[test]
    fn rfc6979() {
        let x = &hex!("c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721");
        let signer = SigningKey::new(x).unwrap();
        let signature = signer.sign(b"sample");
        assert_eq!(
            signature.as_ref(),
            &hex!(
                "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
                     f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8"
            )[..]
        );
    }

    #[test]
    fn scalar_blinding() {
        let vector = &ECDSA_TEST_VECTORS[0];
        let d = Scalar::from_repr(GenericArray::clone_from_slice(vector.d)).unwrap();
        let k = Scalar::from_repr(GenericArray::clone_from_slice(vector.k)).unwrap();
        let k_blinded = BlindedScalar::new(k, &mut OsRng);
        let z = Scalar::from_repr(GenericArray::clone_from_slice(vector.m)).unwrap();
        let sig = d.try_sign_prehashed(&k_blinded, &z).unwrap();

        assert_eq!(vector.r, sig.r().to_bytes().as_slice());
        assert_eq!(vector.s, sig.s().to_bytes().as_slice());
    }

    mod sign {
        use crate::{test_vectors::ecdsa::ECDSA_TEST_VECTORS, NistP256};
        ecdsa_core::new_signing_test!(NistP256, ECDSA_TEST_VECTORS);
    }

    mod verify {
        use crate::{test_vectors::ecdsa::ECDSA_TEST_VECTORS, NistP256};
        ecdsa_core::new_verification_test!(NistP256, ECDSA_TEST_VECTORS);
    }
}