Quantum Cryptography and Post-Quantum Cryptography

  1. Isogeny-Based Cryptography
    1. Mathematical Foundations
      1. Elliptic Curves over Finite Fields
        1. Isogenies Definition and Properties
          1. Supersingular Elliptic Curves
            1. Isogeny Graphs
            2. Key Exchange Protocols
              1. Supersingular Isogeny Diffie-Hellman
                1. Protocol Description
                  1. Security Assumptions
                    1. Implementation Challenges
                    2. CSIDH Protocol
                      1. Class Group Actions
                        1. Efficiency Improvements
                          1. Security Analysis
                        2. Signature Schemes
                          1. CSI-FiSh Signatures
                            1. SQISign Protocol
                              1. Security Properties
                              2. Recent Developments
                                1. Cryptanalytic Advances
                                  1. SIDH Vulnerabilities
                                    1. Future Prospects

                                  Previous

                                  12. Multivariate Cryptography

                                  Go to top

                                  Next

                                  14. NIST Post-Quantum Cryptography Standardization