Elliptic Curves over a Finite Ring

被引：0

作者：

Cheddour, Zakariae ^{[1
]}

Chillali, Abdelhakim ^{[1
]}

Mouhib, Ali ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah USMBA, Dept Math, LSI Lab, Fes 1223, Morocco

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2023年 / 50卷 / 02期

关键词：

Cryptosystem; elliptic curves; keys exchange; finite field; finite ring; local ring; PUBLIC-KEY CRYPTOSYSTEM; LOGARITHMS;

D O I：

10.52846/ami.v50i2.1689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Fq be a finite field, where q is a power of a prime p such that p >= 5. Let alpha be a root of a monic polynomial of a minimal degree over Fq. In this paper, we will study elliptic curves over (Fq[alpha], +, *), where + is the usual addition and * represent a non-standard product law over Fq[alpha]. Using elliptic curves over this ring can result in a cryptographic method that is fast, simple and secure.

引用

页码：313 / 324

页数：12

共 29 条

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