Some classes of the MDS matrices over a finite field

The paper is presented some classes of MDS matrices of size 4 × 4 with the maximum number of units and minimal number of non unit elements. This class of matrices is widely used as diffuse maps when building block type algorithms and hash functions that provide protection against certain methods of...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2017-09, Vol.38 (5), p.880-883
Hauptverfasser:	Belov, A. V., Los, A. B., Rozhkov, M. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Geometry Hash based algorithms Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes
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description	The paper is presented some classes of MDS matrices of size 4 × 4 with the maximum number of units and minimal number of non unit elements. This class of matrices is widely used as diffuse maps when building block type algorithms and hash functions that provide protection against certain methods of analysis.
doi_str_mv	10.1134/S1995080217050067
format	Article
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subjects	Algebra Analysis Geometry Hash based algorithms Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes
title	Some classes of the MDS matrices over a finite field
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