New Records for the Hadamard Maximal Determinant Problem in Dimensions $51$, $107$, and $115$

Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan +6

We compute new lower bounds for determinants of $\{\pm 1\}$-matrices of orders $n=51$, $n=107$ and $n=115$, improving previous recorded bounds by $3.1\%$, $0.44\%$, and $1.68\%$, r…