Name: On oriented supersingular elliptic curves
Creator: Hiroshi Onuki
Keywords: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2021Embargo end date: 01 Jan 2020 English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 69, page 101,777 (issn: 1071-5797,

Authors: Hiroshi Onuki;

doi: 10.1016/j.ffa.2020.101777 , 10.48550/arxiv.2002.09894

arXiv: http://arxiv.org/abs/2002.09894

On oriented supersingular elliptic curves

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Abstract

We revisit theoretical background on OSIDH, that is an isogeny-based key-exchange protocol proposed by Col�� and Kohel at NutMiC 2019. We give a proof of a fundamental theorem for OSIDH. The theorem was stated by Col�� and Kohel without proof. Furthermore, we consider parameters of OSIDH, give a sufficient condition on the parameters that the protocol works, and estimate the size of the parameters for a certain security level.

Related Organizations

University of Tokyo
Japan

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

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