On oriented supersingular elliptic curves

被引：12
|
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.
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页数：18
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