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Статья

Some approaches to construct MDS matrices over a finite field

Communication on Applied Mathematics and Computation. 2017. Vol. 31. No. 2. P. 143-152.

The paper examines some approaches to construct the square maximum distance separable (MDS) matrices over a finite field. This class of matrices is widely used as diffuse maps when building block type cryptographic algorithms and hash functions. Some classes of circulant MDS matrices of size 4 × 4 and matrices with the maximum number of units are presented.