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Elliptic curve cryptography

Finite-field elliptic curve groups support cryptography based on hard discrete logarithms.

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  • Digital signatures

    A private signing key and public verification key authenticate messages under security assumptions.

  • Groups

    A group has an associative operation, an identity and an inverse for every element.

  • Symmetric encryption

    A shared secret key supports encryption and decryption under a specified scheme.

  • Zero-knowledge proofs

    A proof can establish a statement without revealing extra witness information in a formal security model.

  • Chinese remainder theorem

    Pairwise coprime moduli give a unique combined congruence class modulo their product.

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Cryptography

Explore arithmetic and security models; encryption and authentication; groups, signatures and hashes. Concepts and connections are available independently of video coverage.

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