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| Content Provider | Springer Nature Link |
|---|---|
| Author | Szöllősi, Ferenc |
| Copyright Year | 2010 |
| Abstract | In this paper we use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Harpe and Jones (C R Acad Sci Paris 311(Série I): 147–150, 1990), and Munemasa and Watatani (C R Acad Sci Paris 314(Série I): 329–331, 1992) and offer a theoretical explanation for the existence of some sporadic examples of complex Hadamard matrices in the existing literature. As it is increasingly difficult to distinguish inequivalent matrices from each other, we propose a new invariant, the fingerprint of complex Hadamard matrices. As a side result, we refute a conjecture of Koukouvinos et al. on (n − 8)×(n − 8) minors of real Hadamard matrices (Koukouvinos et al., Linear Algebra Appl 371:111–124, 2003). |
| Starting Page | 187 |
| Ending Page | 198 |
| Page Count | 12 |
| File Format | |
| ISSN | 19362447 |
| Journal | Cryptography and Communications |
| Volume Number | 2 |
| Issue Number | 2 |
| e-ISSN | 19362455 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2010-02-19 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Complex Hadamard matrix Block design Minor Matrices General theory of von Neumann algebras Mathematics of Computing Information and Communication, Circuits Communications Engineering, Networks Coding and Information Theory Data Structures, Cryptology and Information Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Computer Networks and Communications Computational Theory and Mathematics |
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