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Is there a 4 by 4 NMDS matrix which is better than M= [[0,1,1,1], [1,0,1,1], [1,1,0,1], [1,1,1,0]] used in MIDORI?

Let us consider "bricklayer" designs such as AES, MIDORI, SKINNY and MANTIS where such matrices are used to "mix columns" of 4 4-bit or 8-bit cells which make up the state. The ...
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