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 (ADTHM 2014) - University of Lethbridge, Alberta, Canada Duration: 8 Jul 2014 → 11 Jul 2017 |
Conference
| Conference | Workshop on Algebraic Design Theory and Hadamard Matrices (ADTHM 2014) |
|---|---|
| Abbreviated title | ADTHM |
| Country | Canada |
| City | Alberta |
| Period | 8/07/14 → 11/07/17 |
Keywords
- Automorphism group
- Butson hadamard matrix
- Cocyclic
- Relative difference set
Cite this
Egan, R., Flannery, D., & O Cathain, P. (2015). Classifying cocyclic Butson Hadamard matrices. In C. J. Colbourn (Ed.), Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014 (Vol. 133, pp. 93-106). Cham Switzerland: Springer. https://doi.org/10.1007/978-3-319-17729-8_8