TY - GEN
T1 - Classifying cocyclic butson hadamard matrices
AU - Egan, Ronan
AU - Flannery, Dane
AU - Catháin, Padraig
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015/9/3
Y1 - 2015/9/3
N2 - 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.
AB - 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.
KW - Automorphism group
KW - Butson Hadamard matrix
KW - Cocyclic
KW - Relative difference set
UR - https://www.scopus.com/pages/publications/84945903585
UR - https://www.scopus.com/pages/publications/84955339525
U2 - 10.1007/978-3-319-17729-8_8
DO - 10.1007/978-3-319-17729-8_8
M3 - Conference Publication
AN - SCOPUS:84945903585
SN - 9783319177281
VL - 133
T3 - Springer Proceedings in Mathematics and Statistics
SP - 93
EP - 106
BT - Algebraic Design Theory and Hadamard Matrices, ADTHM 2014
A2 - Colbourn, Charles J.
PB - Springer New York LLC
T2 - Workshop on Algebraic Design Theory and Hadamard Matrices, ADTHM 2014
Y2 - 8 July 2014 through 11 July 2014
ER -