论文标题

使用MultinACCI块矩阵的公共密钥密码学

A public key cryptography using multinacci block matrices

论文作者

Kumari, Munesh, Tanti, Jagmohan

论文摘要

在本文中,我们建议使用涉及有限场fp的斐波那契数的递归块矩阵提出了一个公共密钥密码学。为此,我们定义了MultinACCI块矩阵,这是一种涉及对角线位置多动acci矩阵的上三角矩阵,并获得了其一些代数特性。此外,我们已经为最终用户建立了关键元素协议的方法,这使得密码学更有效。拟议的密码学带有一个较大的密钥空间,其安全性依赖于离散对数问题(DLP)。

In this paper, we have proposed a public key cryptography using recursive block matrices involving generalized Fibonacci numbers over a finite field Fp. For this, we define multinacci block matrices, a type of upper triangular matrix involving multinacci matrices at diagonal places and obtained some of its algebraic properties. Moreover, we have set up a method for key element agreement at end users, which makes the cryptography more efficient. The proposed cryptography comes with a large keyspace and its security relies on the Discrete Logarithm Problem(DLP).

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