On oriented supersingular elliptic curves

被引：18

作者：

Onuki, Hiroshi ^{[1
]}

机构：

[1] Univ Tokyo, Dept Math Informat, Bunkyo Ku, 7-3-1 Hongo, Tokyo 1138656, Japan

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2021年 / 69卷

关键词：

Supersingular elliptic curves; Isogeny graphs;

D O I：

10.1016/j.ffa.2020.101777

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit theoretical background on OSIDH (Oriented Supersingular Isogeny Diffie-Hellman protocol), which 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 for the protocol to work, and estimate the size of the parameters for a certain security level. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：18

共 35 条

[31] Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
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[34] Weierstrass points on X0+ (p) and supersingular j-invariants
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RESEARCH IN THE MATHEMATICAL SCIENCES, 2017, 4
[35] Weierstrass points on [inline-graphic not available: see fulltext] and supersingular j-invariants
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