The excess of complex Hadamard matrices

Citation

• Kharaghani, H., & Seberry, J. (1993). The excess of complex Hadamard matrices. Graphs and Combinatorics, 9(1), 47-56. doi:10.1007/BF01195326

Digital Object Identifier (doi)

• 10.1007/BF01195326

Scopus Eid

• 2-s2.0-0039489437

Web Of Science Accession Number

Start Page

• 47

End Page

• 56

Volume

• 9

Issue

• 1

Abstract

• A complex Hadamard matrix, C, of order n has elements 1, -1, i, -i and satisfies CC*=nInwhere C* denotes the conjugate transpose of C. Let C=[cij] be a complex Hadamard matrix of order {Mathematical expression} is called the sum of C. σ(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. © 1993 Springer-Verlag.

UOW Authors

•   Seberry, Jennifer

Publication Date

• 1993

Publisher

• Springer Science and Business Media LLC 

Published In

• Graphs and Combinatorics  Journal

Citation

• Kharaghani, H., & Seberry, J. (1993). The excess of complex Hadamard matrices. Graphs and Combinatorics, 9(1), 47-56. doi:10.1007/BF01195326

Digital Object Identifier (doi)

• 10.1007/BF01195326

Scopus Eid

• 2-s2.0-0039489437

Web Of Science Accession Number

Start Page

• 47

End Page

• 56

Volume

• 9

Issue

• 1