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RustCrypto: secp256k1 (K-256) elliptic curve
secp256k1 (a.k.a. K-256) elliptic curve library written in pure Rust with support for ECDSA signing/verification/public-key recovery, Taproot Schnorr signatures, Elliptic Curve Diffie-Hellman (ECDH), and general-purpose secp256k1 elliptic curve group operations which can be used to implement arbitrary group-based protocols.
Uses traits and base types from the
Optionally includes a secp256k1
arithmetic feature providing scalar and
point types (projective/affine) with support for constant-time scalar
multiplication. Additionally, implements traits from the
which can be used to generically construct group-based protocols.
⚠️ Security Warning
The secp256k1 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
secp256k1 operations are performed in constant time (using the
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!
- Elliptic Curve Diffie-Hellman (ECDH): gated under the
ecdhfeature. Note that this is technically ephemeral secp256k1 Diffie-Hellman (a.k.a. ECDHE)
- Elliptic Curve Digital Signature Algorithm (ECDSA): gated under the
ecdsafeature. Support for ECDSA/secp256k1 signing and verification, applying low-S normalization (BIP 0062) as used in consensus-critical applications, and additionally supports secp256k1 public-key recovery from ECDSA signatures (as used by e.g. Ethereum)
- Taproot Schnorr signatures (as defined in BIP0340): next-generation signature algorithm based on group operations enabling elegant higher-level constructions like multisignatures.
About secp256k1 (K-256)
secp256k1 is a Koblitz curve commonly used in cryptocurrency applications. The "K-256" name follows NIST notation where P = prime fields, B = binary fields, and K = Koblitz curves.
The curve is specified as
secp256k1 by Certicom's SECG in
"SEC 2: Recommended Elliptic Curve Domain Parameters":
secp256k1 is primarily notable for usage in Bitcoin and other cryptocurrencies, particularly in conjunction with the Elliptic Curve Digital Signature Algorithm (ECDSA). Owing to its wide deployment in these applications, secp256k1 is one of the most popular and commonly used elliptic curves.
Minimum Supported Rust Version
Rust 1.65 or higher.
Minimum supported Rust version can be changed in the future, but it will be done with a minor version bump.
- All on-by-default features of this library are covered by SemVer
- MSRV is considered exempt from SemVer as noted above
All crates licensed under either of
at your option.
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.