On The Number of Different Entries in Involutory MDS Matrices over Finite Fields of Characteristic Two

Abstract

Two of many criteria of a good MDS matrix are being involutory and having few different elements. This paper investigates the number of different entries in an involutory MDS matrices of order 1, 2, 3, and 4 over finite fields of characteristic two. There are at least three and four different elements in an involutory MDS matrices with, respectively, order three and four, over finite fields of characteristic two.

The following article has been accepted by AIP Conference Proceedings. Presented (online) in The International Conference on Mathematical Sciences and Technology, (MathTech) 2020 in School of Mathematical Sciences, Universiti Sains Malaysia