The "Elliptic" Matrices and a New Kind of Cryptography

被引：2

作者：

Cheddour, Zakariae ^{[1
]}

Chillali, Abdelhakim ^{[1
]}

Mouhib, Ali ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah USMBA, Dept Math, FP Taza, LSI Lab, Taza, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Cryptosystem; elliptic curves; fully homomorphic encryption; matrices; discrete logarithm problem;

D O I：

10.5269/bspm.62377

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In their article titled "Cryptography Based on the Matrices", A. Chillali et al. introduce a new cryptographic method based on matrices over a finite field F-pn, where p is a prime number. In this paper, we will generate this method in a new group of square block matrices based on an elliptic curve, called "elliptic" matrices.

引用

页数：12

共 17 条

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[2]

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[3]

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[4]

Boyd C., 2003, Information Security and Cryptography Series

[5]