Supersingular curves with small noninteger endomorphisms

DOI10.2140/obs.2020.4.7zbMath1460.11093arXiv1910.03180OpenAlexW3116436840MaRDI QIDQ5853786

Dan Boneh, Jonathan Love

Publication date: 11 March 2021

Published in: Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03180

zbMATH Keywords

elliptic curveendomorphismsupersingularisogeny graphM-small

Mathematics Subject Classification ID

Elliptic curves (14H52) Curves over finite and local fields (11G20)

Related Items (15)

Group Key Exchange from CSIDH and Its Application to Trusted Setup in Supersingular Isogeny Cryptosystems ⋮ Improved torsion-point attacks on SIDH variants ⋮ A new adaptive attack on SIDH ⋮ Orientations and the supersingular endomorphism ring problem ⋮ Séta: Supersingular Encryption from Torsion Attacks ⋮ Supersingular curves you can trust ⋮ SCALLOP: scaling the CSI-FiSh ⋮ An efficient key recovery attack on SIDH ⋮ Breaking SIDH in polynomial time ⋮ New algorithms for the Deuring correspondence. Towards practical and secure SQISign signatures ⋮ Orienteering with one endomorphism ⋮ Cryptanalysis of an oblivious PRF from supersingular isogenies ⋮ How not to create an isogeny-based PAKE ⋮ Constructing cycles in isogeny graphs of supersingular elliptic curves ⋮ Delay encryption

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