• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Acre
      • Milawa
      • Smtlink
      • Abnf
      • Vwsim
      • Isar
      • Wp-gen
      • Dimacs-reader
      • Pfcs
      • Legacy-defrstobj
      • Proof-checker-array
      • Soft
      • C
      • Farray
      • Rp-rewriter
      • Instant-runoff-voting
      • Imp-language
      • Sidekick
      • Leftist-trees
      • Java
      • Taspi
      • Bitcoin
      • Riscv
      • Des
      • Ethereum
      • X86isa
      • Sha-2
      • Yul
      • Zcash
      • Proof-checker-itp13
      • Regex
      • ACL2-programming-language
      • Json
      • Jfkr
      • Equational
      • 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
      • Poseidon
      • Where-do-i-place-my-book
      • Axe
      • Bigmems
      • Builtins
      • Execloader
      • Aleo
      • Solidity
      • Paco
      • Concurrent-programs
      • Bls12-377-curves
    • Debugging
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
    • Software-verification
    • 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.