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arXiv · 1902.08812

Generalized binary arrays from quasi-orthogonal cocycles

J. A. Armario·D. L. Flannery
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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 $2$ or a multiple of $4$. This paper introduces generalized optimal binary arrays (GOBAs) with even energy not divisible by $4$, as analogs of GPBAs. We give a procedure to construct GOBAs based on a characterization of the arrays in terms of $2$-cocycles. As a further application, we determine negaperiodic Golay pairs arising from generalized optimal binary sequences of small length.

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J. A. Armario, D. L. Flannery. 2020-01-10. Generalized binary arrays from quasi-orthogonal cocycles. https://doi.org/10.1007/s10623-019-00626-9

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