arXiv · 2608.22518
New Records for the Hadamard Maximal Determinant Problem in Dimensions $51$, $107$, $111$, $115$, and $119$
Abstract
We compute new lower bounds for determinants of $\{\pm 1\}$-matrices of orders $n=51$, $n=107$, $n=111$, $n=115$, and $n=119$, improving previous recorded bounds by $3.1\%$, $0.44\%$, $1.26\%$, $1.68\%$, and $2.12\%$, respectively. We provide the data necessary to construct these matrices.
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Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan, Xiaoyu Huang, Toby Saunders-A'Court, Lucas Fagan, Davide Passaro, Michele Tarquini, Sergei Gukov. 2026-08-31. New Records for the Hadamard Maximal Determinant Problem in Dimensions $51$, $107$, $111$, $115$, and $119$. https://arxiv.org/abs/2608.22518
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