Article
Generalized binary arrays from quasi-orthogonal cocycles
Author/s | Armario Sampalo, José Andrés
![]() ![]() ![]() ![]() ![]() ![]() ![]() Flannery, D. L. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2019 |
Deposit Date | 2019-06-13 |
Published in |
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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 ... 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. |
Project ID. | FQM-016
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Citation | Armario Sampalo, J.A. y Flannery, D.L. (2019). Generalized binary arrays from quasi-orthogonal cocycles. Designs, Codes and Cryptography, 87 (march 2019) |
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