On Generalized Hadamard Matrices and Difference Matrices: $Z_6$
Bradley W. Brock, Robert Compton, Warwick de Launey, Jennifer, Seberry
TL;DR
This paper introduces new orthogonal matrices over groups, specifically focusing on generalized Hadamard matrices related to the group Z_6, providing undocumented examples for archival purposes.
Contribution
It presents previously undocumented matrices orthogonal over groups, expanding the known examples of generalized Hadamard matrices over Z_6.
Findings
New orthogonal matrices over Z_6 are constructed.
These matrices are documented for the first time in literature.
The work provides a resource for future research in group orthogonal matrices.
Abstract
We give some very interesting matrices which are orthogonal over groups and, as far as we know, referenced, but in fact undocumented. This note is not intended to be published but available for archival reasons.
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Taxonomy
Topicsgraph theory and CDMA systems · Coding theory and cryptography · Finite Group Theory Research