Computing endomorphism rings of supersingular elliptic curves and connections to path-finding in isogeny graphs

DOI10.2140/obs.2020.4.215zbMath1460.11148arXiv2004.11495OpenAlexW3115412413MaRDI QIDQ5853799

Chris Leonardi, Sean Hallgren, Jennifer Park, Travis Morrison, Kirsten Eisenträger

Publication date: 11 March 2021

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

Full work available at URL: https://arxiv.org/abs/2004.11495

zbMATH Keywords

quaternion algebrassupersingular elliptic curvesendomorphism ringisogeny-based cryptographyisogeny graph

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Number-theoretic algorithms; complexity (11Y16) Elliptic curves (14H52) Computational aspects of algebraic curves (14Q05) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (7)

Orientations and the supersingular endomorphism ring problem ⋮ On the Isogeny Problem with Torsion Point Information ⋮ Proving knowledge of isogenies: a survey ⋮ SCALLOP: scaling the CSI-FiSh ⋮ Adventures in Supersingularland ⋮ A new isogeny representation and applications to cryptography ⋮ On oriented supersingular elliptic curves

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