Generalized Fibonacci Sequences for Elliptic Curve Cryptography

被引：1

作者：

Cheddour, Zakariae ^{[1
]}

Chillali, Abdelhakim ^{[1
]}

Mouhib, Ali ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdellah, Polydisciplinary Fac Taza, LSI Lab, Dept Math, BP 1223, Taza, Morocco

来源：

MATHEMATICS | 2023年 / 11卷 / 22期

关键词：

cryptosystem; elliptic curve; elliptic curve discrete logarithm problem; Fibonacci sequence; fully homomorphic encryption; matrices; K-NACCI SEQUENCES; CRYPTANALYSIS;

D O I：

10.3390/math11224656

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Fibonacci sequence is a well-known sequence of numbers with numerous applications in mathematics, computer science, and other fields. In recent years, there has been growing interest in studying Fibonacci-like sequences on elliptic curves. These sequences have a number of exciting properties and can be used to build new encryption systems. This paper presents a further generalization of the Fibonacci sequence defined on elliptic curves. We also describe an encryption system using this sequence which is based on the discrete logarithm problem on elliptic curves.

引用

页数：17

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