Computational analysis demonstrates improved maximal determinant lower bounds in dimensions 51, 107, and 115, suggesting tighter limits for Hadamard matrix optimization.
We compute new lower bounds for determinants of \± 1\-matrices of orders $n=51$, $n=107$ and $n=115$, improving previous recorded bounds by $3.1%$, $0.44%$, and $1.68%$, respectively. We provide the data necessary to construct these matrices.
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Butbaia et al. (2026) studied this question.
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