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Abstract: We show that 138 odd values of n less than 10000 for which one knows how toconstruct a Hadamard matrix of order 4n have been overlooked in the recenthandbook of combinatorial designs. There are four additional odd n, namely 191,5767, 7081 and 8249, in that range for which we can construct a Hadamard matrixof order 4n. Our exhaustive computer searches show that the near-normalsequences NNn exist for n=36,38,40. Thus the Yang conjecture on the existenceof NNn for all even n has been verified for n <= 40 but it still remainsopen.



Author: Dragomir Z. Djokovic

Source: https://arxiv.org/







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