Some classes of the MDS matrices over a finite field
- 31 Downloads
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.
Keywords and phrasesMDS matrix MDS code
Unable to display preview. Download preview PDF.
- 2.D. Augot and M. Finiasz, “Exhaustive search for small dimension recursive MDS diffusion layers for block ciphers and hash functions,” in Proceedings of the IEEE International Symposiumon Information Theory, 2013, pp. 1551–1555.Google Scholar
- 4.G. Murtaza and N. Ikram, “New methods of generating MDS matrices,” in Proceedings of International Cryptology Workshop and Conference, 2008.Google Scholar
- 5.V. Markov and A. Nechaev, “Generalized BCH-theorem and linear recursive MDS-codes,” in Proceedings of 12th International Workshop on Algebraic and Combinatorial Coding Theory, 2010.Google Scholar
- 6.E. Couselo and S. Gonsales, V. Markov, and A. Nechaev, “Recursive MDS-codes and recursively differentiable quasigroup,” Discret.Mat. 10 (2), 3–29 (1988).Google Scholar