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The excess of complex Hadamard matrices

Journal Article


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.

Publication Date


  • 1993

Citation


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

Publication Date


  • 1993

Citation


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