具有Perrin二元复多项式的Hessenberg矩阵的行列式和永久性及其应用

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-05-17 DOI:10.37394/23206.2023.22.40

Jirawat Kantalo

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引用次数: 1

摘要

在本文中，我们定义了一些n×n Hessenberg矩阵，然后得到了它们的矩阵的行列式和不变量，给出了二元复Perrin多项式的奇项和偶项。此外，我们还将我们的结果应用于密码学的应用领域。我们通过改进我们的矩阵作为密钥矩阵，讨论了复数上的仿射-希尔方法，并给出了一个实验例子来证明我们的方法可以用于密码学。

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Determinants and Permanents of Hessenberg Matrices with Perrin’s Bivariate Complex Polynomials and Its Application

In this paper, we define some n x n Hessenberg matrices and then we obtain determinants and permanents of their matrices that give the odd and even terms of bivariate complex Perrin polynomials. Moreover, we use our results to apply the application cryptology area. We discuss the Affine-Hill method over complex numbers by improving our matrix as the key matrix and present an experimental example to show that our method can work for cryptography.

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来源期刊

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.