Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood
A quasi-orthogonal cocycle, defined over a group of order congruent to 2 modulo 4, is naturally analogous to an orthogonal cocycle (i.e., one defined over a group of order divisible by 4, and whose display matrix is Hadamard). Here we extend the theory of quasi-orthogonal cocycles in new directions,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/114954 |
| Acceso en línea: | https://hdl.handle.net/11441/114954 https://doi.org/10.1007/s10801-020-00971-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Cocycles Quasi-orthogonal Sequence Array Autocorrelation Merit factor Golay pairs Butson Hadamard matrix EW matrix |
| Sumario: | A quasi-orthogonal cocycle, defined over a group of order congruent to 2 modulo 4, is naturally analogous to an orthogonal cocycle (i.e., one defined over a group of order divisible by 4, and whose display matrix is Hadamard). Here we extend the theory of quasi-orthogonal cocycles in new directions, using equivalences with various optimal binary and quaternary sequences. |
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