| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4647980 | Discrete Mathematics | 2013 | 18 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Pekka H.J. Lampio, Ferenc Szöllősi, Patric R.J. Östergård,