Publication Details

H. Kharaghani and Jennifer Seberry, The excess of complex Hadamard matrices, Graphs and Combinatorics, 9, (1993), 47-56.


A complex Hadamard matrix, C, of order n has elements 1, -1, i, - i and satisfies CC* = nIn where C* denotes the conjugate transpose of C. Let C = [cij] be a complex Hadamard matrix of order n. S(C) = ∑ cij is called the sum of C. 0(C) = │S(C)│ is called the excess of C. We study the excess of complex Hadamard matrices. As an application many real Hadamard matrices of large and maximal excess are obtained.



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