Generalized binary arrays from quasi-orthogonal cocycles View Full Text


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Article Info

DATE

2019-03-19

AUTHORS

J. A. Armario, D. L. Flannery

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. More... »

PAGES

1-13

References to SciGraph publications

  • 2001-09. Hadamard and Conference Matrices in JOURNAL OF ALGEBRAIC COMBINATORICS
  • 1992-03. Generalized perfect arrays and menon difference sets in DESIGNS, CODES AND CRYPTOGRAPHY
  • 1999-09. Williamson Matrices and a Conjecture of Ito's in DESIGNS, CODES AND CRYPTOGRAPHY
  • 2017-12. On equivalence of negaperiodic Golay pairs in DESIGNS, CODES AND CRYPTOGRAPHY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10623-019-00626-9

    DOI

    http://dx.doi.org/10.1007/s10623-019-00626-9

    DIMENSIONS

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