SHealS and HealS: Isogeny-Based PKEs from a Key Validation Method for SIDH

DOI10.1007/978-3-030-92068-5_10zbMath1514.94082OpenAlexW3216738187MaRDI QIDQ6041287

Tako Boris Fouotsa, Christophe Petit

Publication date: 26 May 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/339080/3/2021-1596.pdf

zbMATH Keywords

post-quantum cryptographySIKESIDHadaptive attacksHealSHealSIDHSHealS

Mathematics Subject Classification ID

Cryptography (94A60) Isogeny (14K02) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (2)

An efficient key recovery attack on SIDH ⋮ Attack on SHealS and HealS: the second wave of GPST

Cites Work

• Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
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• Post-quantum static-static key agreement using multiple protocol instances
• SimS: a simplification of SiGamal
• He gives C-sieves on the CSIDH
• Quantum security analysis of CSIDH
• Verifiable delay functions from supersingular isogenies and pairings
• New techniques for SIDH-based NIKE
• SiGamal: a supersingular isogeny-based PKE and its application to a PRF
• Mathematics of Public Key Cryptography
• On the Security of Supersingular Isogeny Cryptosystems
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• The Arithmetic of Elliptic Curves
• Secure integration of asymmetric and symmetric encryption schemes
• On Adaptive Attacks Against Jao-Urbanik’s Isogeny-Based Protocol
• Constructing elliptic curve isogenies in quantum subexponential time

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