Some classes of the MDS matrices over a finite field

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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Zusammenfassung: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080217050067