Crate elliptic_curve

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§RustCrypto: Elliptic Curve Traits

crate Docs Build Status Apache2/MIT licensed Rust Version Project Chat

General purpose Elliptic Curve Cryptography (ECC) support, including types and traits for representing various elliptic curve forms, scalars, points, and public/secret keys composed thereof.


§Minimum Supported Rust Version

Requires Rust 1.57 or higher.

Minimum supported Rust version can be changed in the future, but it will be done with a minor version bump.

§SemVer Policy

  • 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.


This crate provides traits for describing elliptic curves, along with types which are generic over elliptic curves which can be used as the basis of curve-agnostic code.

It’s intended to be used with the following concrete elliptic curve implementations from the RustCrypto/elliptic-curves project:

  • bp256: brainpoolP256r1 and brainpoolP256t1
  • bp384: brainpoolP384r1 and brainpoolP384t1
  • k256: secp256k1 a.k.a. K-256
  • p256: NIST P-256 a.k.a secp256r1, prime256v1
  • p384: NIST P-384 a.k.a. secp384r1

The ecdsa crate provides a generic implementation of the Elliptic Curve Digital Signature Algorithm which can be used with any of the above crates, either via an external ECDSA implementation, or using native curve arithmetic where applicable.

§Type conversions

The following chart illustrates the various conversions possible between the various types defined by this crate.

Type Conversion Map

§serde support

When the serde feature of this crate is enabled, Serialize and Deserialize impls are provided for the following types:

Please see type-specific documentation for more information.



  • Type aliases for many constants.
  • Elliptic Curve Diffie-Hellman Support.
  • Traits for arithmetic operations on elliptic curve field elements.
  • Support for SEC1 elliptic curve encoding formats.
  • Complete projective formulas for prime order elliptic curves as described in Renes-Costello-Batina 2015.


  • Provides both inherent and trait impls for a field element type which are backed by a core set of arithmetic functions specified as macro arguments.
  • Emit impls for a core::ops trait for all combinations of reference types, which thunk to the given function.




Type Aliases§