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§RustCrypto: NIST P-256 (secp256r1) elliptic curve
Pure Rust implementation of the NIST P-256 (a.k.a. secp256r1, prime256v1)
elliptic curve with support for ECDH, ECDSA signing/verification, and general
purpose curve arithmetic support implemented in terms of traits from the
elliptic-curve crate.
§⚠️ Security Warning
The elliptic curve arithmetic contained in this crate has never been independently audited!
This crate has been designed with the goal of ensuring that secret-dependent
operations are performed in constant time (using the subtle crate and
constant-time formulas). However, it has not been thoroughly assessed to ensure
that generated assembly is constant time on common CPU architectures.
USE AT YOUR OWN RISK!
§Supported Algorithms
- Elliptic Curve Diffie-Hellman (ECDH): gated under the
ecdhfeature. - Elliptic Curve Digital Signature Algorithm (ECDSA): gated under the
ecdsafeature.
§PKCS#8 Key Encoding
PKCS#8 is a private key format with support for multiple algorithms. It can be encoded as binary DER or text PEM.
You can recognize PEM encoded PKCS#8 private keys because they do not have an algorithm name in the type label, e.g.:
-----BEGIN PRIVATE KEY-----PKCS#8 support is gated under the pkcs8 feature. The pem feature, which is
enabled by default, adds PEM decoding and also enables pkcs8.
The same pattern is used by the other curve crates in this repository which
re-export pkcs8.
The following traits can be used to decode/encode secret and public keys as
PKCS#8/SPKI. Note that pkcs8 is re-exported from p256 when the pkcs8
feature is enabled:
pkcs8::DecodePrivateKey: decode private keys from PKCS#8pkcs8::EncodePrivateKey: encode private keys to PKCS#8pkcs8::DecodePublicKey: decode public keys from SPKIpkcs8::EncodePublicKey: encode public keys to SPKI
For private keys, SecretKey::from_der and SecretKey::from_pem provide
convenience methods which can decode PKCS#8 keys. Use the trait methods above
when the input is expected to be specifically PKCS#8.
§Example
use p256::SecretKey;
// WARNING: Do not hardcode private keys in your source code. This is for demonstration purposes only.
let pem = r#"-----BEGIN PRIVATE KEY-----
MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQgaWJBcVYaYzQN4OfY
afKgVJJVjhoEhotqn4VKhmeIGI2hRANCAAQcrP+1Xy8s79idies3SyaBFSRSgC3u
oJkWBoE32DnPf8SBpESSME1+9mrBF77+g6jQjxVfK1L59hjdRHApBI4P
-----END PRIVATE KEY-----"#;
let secret_key = SecretKey::from_pem(pem)?;§About NIST P-256
NIST P-256 is a Weierstrass curve specified in SP 800-186: Recommendations for Discrete Logarithm-based Cryptography: Elliptic Curve Domain Parameters.
Also known as prime256v1 (ANSI X9.62) and secp256r1 (SECG), it’s included in the US National Security Agency’s “Suite B” and is widely used in protocols like TLS and the associated X.509 PKI.
§License
All crates licensed under either of
at your option.
§Contribution
Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.
§serde support
When the serde feature of this crate is enabled, Serialize and
Deserialize are impl’d for the following types:
Please see type-specific documentation for more information.
Re-exports§
pub use elliptic_curve;pub use elliptic_curve::pkcs8;pkcs8pub use hash2curve;hash2curve
Modules§
- ecdh
ecdh - Elliptic Curve Diffie-Hellman (Ephemeral) Support.
- ecdsa
ecdsa-core - Elliptic Curve Digital Signature Algorithm (ECDSA)
- test_
vectors test-vectors - secp256r1 test vectors.
Structs§
- Nist
P256 - NIST P-256 elliptic curve.
- Scalar
arithmetic - Scalars are elements in the finite field modulo n.
Type Aliases§
- Affine
Point arithmetic - Elliptic curve point in affine coordinates.
- Blinded
Scalar arithmetic - Blinded scalar.
- Compressed
Point - Compressed SEC1-encoded NIST P-256 curve point.
- Field
Bytes - NIST P-256 field element serialized as bytes.
- NonZero
Scalar arithmetic - Non-zero NIST P-256 scalar field element.
- Projective
Point arithmetic - Elliptic curve point in projective coordinates.
- Public
Key arithmetic - NIST P-256 public key.
- Sec1
Point - NIST P-256 SEC1 encoded point.
- Secret
Key - NIST P-256 secret key.
- U32
- U256
- 256-bit unsigned big integer.