A New Family of Amicable Hadamard Matrices
We study constructions for amicable Hadamard matrices. The family for orders 2t, t a positive integer, is explicitly exhibited. We also show that there are amicable Hadamard matrices of order (2t - 1)r + 1 for any odd integer r > 1. Now we have orders 15r + 1, 63r + 1, 255r + 1, 511r + 1, …, r > 1 an odd integer, for the first time.
KeywordsHadamard matrices Amicable Hadamard matrices Amicable Hadamard cores
AMS Subject ClassificationPrimary 05B20
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