General Lower Bounds on Maximal Determinants of Binary Matrices

[摘要] We give general lower bounds on the maximal determinant of $n \times n$ $\{+1,-1\}$-matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier results of de Launey and Levin (2010) and, for certain congruence

[学科分类] 离散数学和组合数学

[关键词] { -1}-matrices;lower bounds;maximal determinant;D-optimal designs;Hadamard matrices