Conference Publication Details
Mandatory Fields
Authors
Egan, R,Flannery, D,Cathain, PO,Colbourn, CJ
Conference Title
Classifying Cocyclic Butson Hadamard Matrices
Title of Paper
ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM
Year
2015
Month
June
Status
Published
Peer Reviewed
1
Times Cited
WOS: 3
()
Optional Fields
Search Keyword
Automorphism group Butson Hadamard matrix Cocyclic Relative difference set
Editors
Start Page
93
End Page
106
Location
Start Date
End Date
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.
Funded By
URL
DOI Link
10.1007/978-3-319-17729-8_8
Grant Details
Funding Body
Grant Details
Publication Themes
Theme (s)