Loops of isogeny graphs of supersingular elliptic curves at j=0

被引：4

作者：

Ouyang, Yi ^{[1
]}

Xu, Zheng ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2019年 / 58卷

关键词：

Supersingular elliptic curves over finite fields; Isogeny graphs;

D O I：

10.1016/j.ffa.2019.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We improve Adj et al.'s bound in [1, Theorem 12] from p > 4l to p > 3l for the loops of E-0 : y(2) = x(3) 1 in the l-isogeny graph G(l)(F-p2, -2p) of supersingular elliptic curves over F-p2 with trace -2p. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：174 / 176

页数：3