An efficient authenticated key exchange from random self-reducibility on CSIDH

DOI10.1007/978-3-030-68890-5_4OpenAlexW3095589423MaRDI QIDQ831632

Yusuke Aikawa, Tomoki Kawashima, Tsuyoshi Takagi, Katsuyuki Takashima

Publication date: 24 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-68890-5_4

zbMATH Keywords

authenticated key exchangepost-quantumCSIDHisogeny-based cryptographytight security

Mathematics Subject Classification ID

Cryptography (94A60) Data encryption (aspects in computer science) (68P25)

Related Items (8)

Towards post-quantum security for signal's X3DH handshake ⋮ Practical isogeny-based key-exchange with optimal tightness ⋮ An efficient and generic construction for signal's handshake (X3DH): post-quantum, state leakage secure, and deniable ⋮ Password-authenticated key exchange from group actions ⋮ Group action key encapsulation and non-interactive key exchange in the QROM ⋮ Post-quantum asynchronous deniable key exchange and the signal handshake ⋮ Post-quantum anonymous one-sided authenticated key exchange without random oracles ⋮ An efficient and generic construction for Signal's handshake (X3DH): post-quantum, state leakage secure, and deniable

Uses Software

• HMQV
• NAXOS

Cites Work

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• CSIDH: an efficient post-quantum commutative group action
• Supersingular isogeny Diffie-Hellman authenticated key exchange
• Computational problems in supersingular elliptic curve isogenies
• Lossy CSI-fish: efficient signature scheme with tight reduction to decisional CSIDH-512
• Strongly secure authenticated key exchange from supersingular isogenies
• One-round authenticated group key exchange from isogenies
• Highly efficient key exchange protocols with optimal tightness
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• Stronger Security of Authenticated Key Exchange
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Class Field Theory
• HMQV: A High-Performance Secure Diffie-Hellman Protocol
• Faster computation of isogenies of large prime degree

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