直接指数变换下MDS矩阵不动点系数的保持

2015 International Conference on Advanced Technologies for Communications (ATC) Pub Date : 2015-10-01 DOI:10.1109/ATC.2015.7388301

T. Luong, Nguyen Ngoc Cuong, Luong The Dung

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引用次数: 3

摘要

最大距离可分离码在纠错码理论中研究已久，在密码学中得到了广泛的应用。一些作者研究并提出了一些不基于MDS编码的MDS矩阵的构造方法。人们研究了一些MDS矩阵变换，直接指数变换就是这样一种变换。本文给出了直接指数变换下MDS矩阵不动点个数保持的一些新结果。此外，这些结果的重要应用将在分组密码中显示。

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The preservation of the coefficient of fixed points of an MDS matrix under direct exponent transformation

MDS (Maximum Distance Separable) code has been studied for a long time in the theory of error-correcting code and has been applied widely in cryptography. Some authors studied and proposed some methods for constructing MDS matrices which do not base on MDS codes. Some MDS matrix transformations have been studied and direct exponent is such a transformation. In this paper, we present some new results on the preservation of the number of fixed points of an MDS matrix under direct exponent transformation. In addition, the important applications of these results will be shown in block ciphers.

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2015 International Conference on Advanced Technologies for Communications (ATC)

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