https://github.com/shuklaayush/ed25519
Implementation of the Ed25519 elliptic curve group
https://github.com/shuklaayush/ed25519
Last synced: 8 days ago
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Implementation of the Ed25519 elliptic curve group
- Host: GitHub
- URL: https://github.com/shuklaayush/ed25519
- Owner: shuklaayush
- License: apache-2.0
- Created: 2023-04-12T10:40:59.000Z (about 2 years ago)
- Default Branch: main
- Last Pushed: 2023-04-25T11:53:48.000Z (about 2 years ago)
- Last Synced: 2024-12-26T20:17:18.771Z (5 months ago)
- Language: Rust
- Size: 47.9 KB
- Stars: 2
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE-APACHE
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README
# ed25519
This is a pure Rust implementation of the Ed25519 elliptic curve group and its associated fields.
* **This implementation has not been reviewed or audited. Use at your own risk.**
* This implementation targets Rust `1.60` or later.
* All operations are constant time unless explicitly noted.
* This implementation does not require the Rust standard library.
## Curve Description
Ed25519 is the [twisted Edwards curve](https://en.wikipedia.org/wiki/Twisted_Edwards_curve) `-u^2 + v^2 = 1 + d.u^2.v^2` of rational points over `GF(q)` with a subgroup of prime order `r` and cofactor `8`.
```
q = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed
r = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
d = -(121665/121666)
```
Ed25519 is birationally equivalent to a [Montgomery curve](https://en.wikipedia.org/wiki/Montgomery_curve) `y^2 = x^3 + Ax^2 + x` over the same field with `A = 40962`. The Montgomery curve and its quadratic twist have small cofactors `8` and `4`, respectively.
## License
Licensed under either of
* Apache License, Version 2.0, ([LICENSE-APACHE](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
* MIT license ([LICENSE-MIT](LICENSE-MIT) or http://opensource.org/licenses/MIT)
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.