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.
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页数：17
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