An alternative approach for SIDH arithmetic

DOI10.1007/978-3-030-75245-3_2zbMath1479.94134OpenAlexW3108296941MaRDI QIDQ2061911

Laurent Imbert, Cyril Bouvier

Publication date: 21 December 2021

Full work available at URL: https://hal-lirmm.ccsd.cnrs.fr/lirmm-03219438/file/pmns_for_sidh.pdf

zbMATH Keywords

supersingular isogeny Diffie-Hellmanefficient arithmeticpolynomial modular number system

Mathematics Subject Classification ID

Cryptography (94A60) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (2)

Finite field arithmetic in large characteristic for classical and post-quantum cryptography ⋮ Delegating supersingular isogenies over \(\mathbb{F}_{p^2}\) with cryptographic applications

Cites Work

• Supersingular isogeny key exchange for beginners
• Pre- and post-quantum Diffie-Hellman from groups, actions, and isogenies
• Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• Modular Multiplication Without Trial Division
• Efficient Modular Arithmetic in Adapted Modular Number System Using Lagrange Representation
• A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol
• Efficient Finite Field Multiplication for Isogeny Based Post Quantum Cryptography

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