Article
Almost supplementary difference sets and quaternary sequences with optimal autocorrelation
Author/s | Armario Sampalo, José Andrés
Flannery, D. L. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2020 |
Deposit Date | 2021-06-28 |
Published in |
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Abstract | We introduce almost supplementary difference sets (ASDS). For odd
m, certain ASDS in Zm that have amicable incidence matrices are equivalent to
quaternary sequences of odd length m with optimal autocorrelation. As one ... We introduce almost supplementary difference sets (ASDS). For odd m, certain ASDS in Zm that have amicable incidence matrices are equivalent to quaternary sequences of odd length m with optimal autocorrelation. As one consequence, if 2m − 1 is a prime power, or m 1 mod 4 is prime, then ASDS of this kind exist. We also explore connections to optimal binary sequences and group cohomology. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-016 |
Citation | Armario Sampalo, J.A. y Flannery, D.L. (2020). Almost supplementary difference sets and quaternary sequences with optimal autocorrelation. Cryptography and Communications, 12 (4), 757-768. |
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