• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • Soft
      • C
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
        • R1cs
        • Interfaces
        • Sha-2
        • Keccak
        • Kdf
        • Mimc
        • Padding
        • Hmac
        • Elliptic-curves
          • Secp256k1-attachment
          • Twisted-edwards
          • Montgomery
          • Short-weierstrass-curves
          • Birational-montgomery-twisted-edwards
          • Has-square-root?-satisfies-pfield-squarep
          • Secp256k1
          • Secp256k1-domain-parameters
          • Secp256k1-types
          • Pfield-squarep
          • Secp256k1-interface
          • Prime-field-extra-rules
          • Points
        • Attachments
        • Elliptic-curve-digital-signature-algorithm
      • Number-theory
      • Lists-light
      • Axe
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Cryptography

Elliptic-curves

Elliptic curve cryptography.

Subtopics

Secp256k1-attachment

Executable attachments for the elliptic curve secp256k1 interface.

Twisted-edwards

Elliptic curves over prime fields in twisted Edwards form.

Montgomery

Elliptic curves over prime fields in Montgomery form.

Short-weierstrass-curves

Elliptic curves over prime fields in short Weierstrass form.

Birational-montgomery-twisted-edwards

Birational equivalence between Montgomery curves and twisted Edwards curves.

Has-square-root?-satisfies-pfield-squarep

Show how pfield-squarep can be refined into has-square-root?

Secp256k1

A library for the Short Weierstrass elliptic curve secp256k1.

Secp256k1-domain-parameters

Domain parameters of the secp256k1 elliptic curve.

Secp256k1-types

Types for the secp256k1 elliptic curve.

Pfield-squarep

Check if a prime field element is a square.

Secp256k1-interface

Elliptic curve secp256k1 interface.

Prime-field-extra-rules

Extra rules about prime fields.

Points

Predicates for points of elliptic curves over prime fields.