Projects per year
Abstract
We classify all the cocyclic Butson Hadamard matrices BH(n,p) of order n over the pth roots of unity for an odd prime p and np ≤ 100. That is, we compile a list of matrices such that any cocyclic BH(n,p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.
Original language | English |
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Title of host publication | Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014 |
Editors | Charles J Colbourn |
Place of Publication | Cham Switzerland |
Publisher | Springer |
Pages | 93-106 |
Number of pages | 14 |
Volume | 133 |
ISBN (Print) | 9783319177281 |
DOIs | |
Publication status | Published - 2015 |
Event | Workshop on Algebraic Design Theory and Hadamard Matrices 2014 - University of Lethbridge, Alberta, Canada Duration: 8 Jul 2014 → 11 Jul 2017 https://link.springer.com/book/10.1007%2F978-3-319-17729-8 |
Conference
Conference | Workshop on Algebraic Design Theory and Hadamard Matrices 2014 |
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Abbreviated title | ADTHM 2014 |
Country/Territory | Canada |
City | Alberta |
Period | 8/07/14 → 11/07/17 |
Internet address |
Keywords
- Automorphism group
- Butson hadamard matrix
- Cocyclic
- Relative difference set
Projects
- 1 Finished
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A new approach to compressed sensing
Horsley, D., Bryant, D. & Colbourn, C.
Australian Research Council (ARC)
1/01/12 → 31/12/14
Project: Research