Title of article
The quaternary complex Hadamard matrices of orders 10, 12, and 14
Author/Authors
Lampio، نويسنده , , Pekka H.J. and Sz?ll?si، نويسنده , , Ferenc and ?sterg?rd، نويسنده , , Patric R.J.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
18
From page
189
To page
206
Abstract
A complete classification of quaternary complex Hadamard matrices of orders 10, 12 and 14 is given, and a new parametrization scheme for obtaining new examples of affine parametric families of complex Hadamard matrices is provided. On the one hand, it is proven that all 10×10 and 12×12 quaternary complex Hadamard matrices belong to some parametric family, but on the other hand, it is shown by exhibiting an isolated 14×14 matrix that there cannot be a general method for introducing parameters into these types of matrices.
Keywords
Butson-type Hadamard matrix , Classification , Complex Hadamard matrix
Journal title
Discrete Mathematics
Serial Year
2013
Journal title
Discrete Mathematics
Record number
1600206
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