Mersenne Weighted Graph for Increasing the Symmetric Encryption Schemes Security

R. K. Ajeena, Shatha Mohammed Hashim, F. A. Abdullatif
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Abstract

The intersection of cryptography and number theory has been encapsulated by studying the graph theory. The graphs have an important role in building the cryptographic schemes. In this work, a new contribution has been proposed by using the Mersenne numbers. These numbers are used to define new weighted graphs which named by Mersenne weight graphs (MWG). An efficient symmetric encryption (SE) scheme using MWG has been formed. The implementation results of a proposed algorithm are presented in this study. The security analysis of the proposed MWG-SE algorithm is discussed as well.
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提高对称加密方案安全性的Mersenne加权图
通过对图论的研究,将密码学与数论的交叉点封装起来。图在构建密码方案中起着重要的作用。在这项工作中,利用梅森数提出了一个新的贡献。这些数字被用来定义新的加权图,称为梅森加权图(MWG)。提出了一种基于MWG的高效对称加密方案。本文给出了一种算法的实现结果。对所提出的MWG-SE算法进行了安全性分析。
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