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 nonexistence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.
Original language  English 

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  93106 
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%2F9783319177298 
Conference
Conference  Workshop on Algebraic Design Theory and Hadamard Matrices 2014 

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

A new approach to compressed sensing
Horsley, D., Bryant, D. & Colbourn, C.
Australian Research Council (ARC)
1/01/12 → 31/12/14
Project: Research