A Systematic Construction Approach for All $4\times 4$ Involutory MDS Matrices

arXiv:2404.08250v1 Announce Type: new
Abstract: Maximum distance separable (MDS) matrices play a crucial role not only in coding theory but also in the design of block ciphers and hash functions. Of particular interest are involutory MDS matrices, which facilitate the use of a single circuit for both encryption and decryption in hardware implementations. In this article, we present several characterizations of involutory MDS matrices of even order. Additionally, we introduce a new matrix form for obtaining all involutory MDS matrices …

arxiv block ciphers coding construction cs.cr design encryption functions hash hash functions interest mds play role single theory