Ó Catháin, Padraig 
ORCID: 0000-0002-7963-9688 and Wanless, Ian M. ORCID: 0000-0001-8085-0387
(2015)
Trades in complex Hadamard matrices.
In: Algebraic Design Theory and Hadamard Matrices (ADTHM) 2014, 8-11 July 2014, Lethbridge, AB, Canada..
ISBN 978-3-319-17728-1
Abstract
A trade in a complex Hadamard matrix is a set of entries which can be
changed to obtain a different complex Hadamard matrix. We show that in a real
Hadamard matrix of order n all trades contain at least n entries. We call a trade
rectangular if it consists of a submatrix that can be multiplied by some scalar
c 6= 1 to obtain another complex Hadamard matrix. We give a characterisation of
rectangular trades in complex Hadamard matrices of order n and show that they
all contain at least n entries. We conjecture that all trades in complex Hadamard
matrices contain at least n entries
Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Event Type: | Conference |
| Refereed: | Yes |
| Subjects: | UNSPECIFIED |
| DCU Faculties and Centres: | DCU Faculties and Schools > Faculty of Humanities and Social Science > Fiontar agus Scoil na Gaeilge |
| Published in: | Algebraic Design Theory and Hadamard Matrices (ADTHM). Springer Proceedings in Mathematics & Statistics (PROMS) 133. Springer. ISBN 978-3-319-17728-1 |
| Publisher: | Springer |
| Official URL: | https://doi.org/10.1007/978-3-319-17729-8_18 |
| Copyright Information: | © 2015 Springer |
| Funders: | ARC grants FT110100065 and DP120103067. |
| ID Code: | 29115 |
| Deposited On: | 06 Oct 2023 16:04 by Thomas Murtagh . Last Modified 06 Oct 2023 16:04 |
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