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Some classes of the MDS matrices over a finite field


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Abstract

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.

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About the authors

A. V. Belov

National Research University Higher School of Economics

Author for correspondence.
Email: avbelov@hse.ru
Russian Federation, Moscow, 123458

A. B. Los

National Research University Higher School of Economics

Email: avbelov@hse.ru
Russian Federation, Moscow, 123458

M. I. Rozhkov

National Research University Higher School of Economics

Email: avbelov@hse.ru
Russian Federation, Moscow, 123458

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