Name
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.disc.2012.10.001 | Discrete Mathematics |
Keywords | Field | DocType |
Butson-type Hadamard matrix,Classification,Complex Hadamard matrix | Hadamard's maximal determinant problem,Combinatorics,Hadamard matrix,Paley construction,Hadamard product,Hadamard's inequality,Complex Hadamard matrix,Butson-type Hadamard matrix,Hadamard transform,Mathematics | Journal |
Volume | Issue | ISSN |
313 | 2 | 0012-365X |
Citations | PageRank | References |
2 | 0.51 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pekka H. J. Lampio | 1 | 2 | 0.51 |
| Ferenc Szöllösi | 2 | 6 | 2.54 |
| Patric R. J. Östergård | 3 | 609 | 70.61 |