Supersingular Isogeny-based Cryptography: A Survey

DOI10.4036/iis.2020.R.02zbMath1479.94255OpenAlexW3096315280MaRDI QIDQ5158416

Philipp Stratil, Hiroki Shuzuya, Shingo Hasegawa

Publication date: 22 October 2021

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4036/iis.2020.r.02

zbMATH Keywords

supersingular isogeny Diffie-Hellmanisogeny cryptography

Mathematics Subject Classification ID

Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50) Quantum cryptography (quantum-theoretic aspects) (81P94)

Uses Software

• SageMath

Cites Work

• Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
• Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
• Cryptographic hash functions from expander graphs
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• Fault attack on supersingular isogeny cryptosystems
• A modular analysis of the Fujisaki-Okamoto transformation
• Faster algorithms for isogeny problems using torsion point images
• Secure integration of asymmetric and symmetric encryption schemes
• Mathematics of Public Key Cryptography
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• Random Oracles in a Quantum World
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• New directions in cryptography
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Constructing elliptic curve isogenies in quantum subexponential time
• Advances in Elliptic Curve Cryptography
• Identification protocols and signature schemes based on supersingular isogeny problems
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