The excess of complex Hadamard matrices |
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| Authors: | H Kharaghani Jennifer Seberry |
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| Institution: | (1) Department of Mathematical Sciences, The University of Lethbridge, T1K 3M4 Lethbridge, Alberta, Canada;(2) Department of Computer Science, University of Wollongong, 2500 Wollongong, NSW, Australia |
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| Abstract: | A complex Hadamard matrix,C, of ordern has elements 1, –1,i, –i and satisfiesCC
*=nInwhereC
* denotes the conjugate transpose ofC. LetC=c
ij] be a complex Hadamard matrix of order
is called the sum ofC.  (C)=|S(C)| is called the excess ofC. We study the excess of complex Hadamard matrices. As an application many real Hadamard matrices of large and maximal excess are obtained.Supported by an NSERC grant.Supported by Telecom grant 7027, an ATERB and ARC grant # A48830241. |
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