Name
Abstract | ||
|---|---|---|
A BH(q,n) Butson-type Hadamard matrix H is an n×n matrix over the complex qth roots of unity that fulfils HH∗=nIn. It is well known that a BH(4,n) matrix can be used to construct a BH(2,2n) matrix, that is, a real Hadamard matrix. This method is here generalised to construct a BH(q,pn) matrix from a BH(pq,n) matrix, where q has at most two distinct prime divisors, one of them being p. Moreover, an algorithm for finding the domain of the mapping from its codomain in the case p=q=2 is developed and used to classify the BH(4,16) matrices from a classification of the BH(2,32) matrices. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.disc.2018.05.012 | Discrete Mathematics |
Keywords | Field | DocType |
Butson-type Hadamard matrix,Classification,Complex matrix,Monomial equivalence,Mapping | Prime (order theory),Discrete mathematics,Combinatorics,Hadamard matrix,Codomain,Matrix (mathematics),Root of unity,Butson-type Hadamard matrix,Divisor,Hadamard transform,Mathematics | Journal |
Volume | Issue | ISSN |
341 | 9 | 0012-365X |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Patric R. J. Östergård | 1 | 609 | 70.61 |
| William T. Paavola | 2 | 0 | 0.34 |