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4 years ago
4 years ago
  1. #![cfg_attr(not(feature = "std"), no_std)]
  2. #![deny(
  3. warnings,
  4. unused,
  5. future_incompatible,
  6. nonstandard_style,
  7. rust_2018_idioms
  8. )]
  9. #![forbid(unsafe_code)]
  10. //! This library implements the MNT4_753 curve generated in
  11. //! [[BCTV14]](https://eprint.iacr.org/2014/595). The name denotes that it is a
  12. //! Miyaji--Nakabayashi--Takano curve of embedding degree 4, defined over a 753-bit (prime) field.
  13. //! The main feature of this curve is that its scalar field and base field respectively equal the
  14. //! base field and scalar field of MNT6_753.
  15. //!
  16. //! Curve information:
  17. //! * Base field: q = 0x01C4C62D92C41110229022EEE2CDADB7F997505B8FAFED5EB7E8F96C97D87307FDB925E8A0ED8D99D124D9A15AF79DB117E776F218059DB80F0DA5CB537E38685ACCE9767254A4638810719AC425F0E39D54522CDD119F5E9063DE245E8001
  18. //! * Scalar field: r = 0x01C4C62D92C41110229022EEE2CDADB7F997505B8FAFED5EB7E8F96C97D87307FDB925E8A0ED8D99D124D9A15AF79DB26C5C28C859A99B3EEBCA9429212636B9DFF97634993AA4D6C381BC3F0057974EA099170FA13A4FD90776E240000001
  19. //! * valuation(q - 1, 2) = 15
  20. //! * valuation(r - 1, 2) = 30
  21. //! * G1 curve equation: y^2 = x^3 + ax + b, where
  22. //! * a = 2
  23. //! * b = 0x01373684A8C9DCAE7A016AC5D7748D3313CD8E39051C596560835DF0C9E50A5B59B882A92C78DC537E51A16703EC9855C77FC3D8BB21C8D68BB8CFB9DB4B8C8FBA773111C36C8B1B4E8F1ECE940EF9EAAD265458E06372009C9A0491678EF4
  24. //! * G2 curve equation: y^2 = x^3 + Ax + B, where
  25. //! * A = Fq2 = (a * NON_RESIDUE, 0)
  26. //! * B = Fq2(0, b * NON_RESIDUE)
  27. //! * NON_RESIDUE = 13 is the quadratic non-residue used to construct the extension field Fq2
  28. #[cfg(feature = "r1cs")]
  29. pub mod constraints;
  30. #[cfg(feature = "curve")]
  31. mod curves;
  32. #[cfg(any(feature = "scalar_field", feature = "base_field"))]
  33. mod fields;
  34. #[cfg(feature = "curve")]
  35. pub use curves::*;
  36. #[cfg(any(feature = "scalar_field", feature = "base_field"))]
  37. pub use fields::*;