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In this paper, we explicitly define the automorphisms of MDS matrices over the same binary extension field. By extending this idea, we present the isomorphisms between MDS matrices over F2m and MDS matrices over F 2 mt , where t ≥ 1 and m > 1 , which preserves the software implementation properties in view of XOR operations and table lookups of any given MDS matrix over F2m . Then we propose a novel method to obtain distinct functions related to these automorphisms and isomorphisms to be useddoi:10.3906/elk-1906-151 fatcat:37ofna4s45gczi6ybgmy4njxea