Generalized binary arrays from quasi-orthogonal cocycles
Combinatorics
2020-01-13 v2
Abstract
Generalized perfect binary arrays (GPBAs) were used by Jedwab to construct perfect binary arrays. A non-trivial GPBA can exist only if its energy is or a multiple of . This paper introduces generalized optimal binary arrays (GOBAs) with even energy not divisible by , as analogs of GPBAs. We give a procedure to construct GOBAs based on a characterization of the arrays in terms of -cocycles. As a further application, we determine negaperiodic Golay pairs arising from generalized optimal binary sequences of small length.
Cite
@article{arxiv.1902.08812,
title = {Generalized binary arrays from quasi-orthogonal cocycles},
author = {J. A. Armario and D. L. Flannery},
journal= {arXiv preprint arXiv:1902.08812},
year = {2020}
}