The Weights of Hadamard Matrices

Abstract Let Ω n denote the set of all n × n Hadamard matrices. For H ∈ Ω n , define the weight of H to be w ( H ) = number of 1's in H , and w(n) = max {w(H); H ∈ Ω n } . In this paper, we derive upper and lower bounds for w ( n ).