Turyn type sequences
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| Autoři: | , |
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| Médium: | artículo original |
| Stav: | Versión publicada |
| Datum vydání: | 2019 |
| Popis: | In this paper we study the so called Turyn type sequences and some heuristics algorithms to generate them. The importance of these sequences lies, at least, in the fact that they can be used to construct some Hadamard matrices of order 4(3m - 1), where m is the length of the Turyn type sequence through the theorem of Goethals-Seidal. We simplify the proof of Turyn’s theorem (see Theorem 3). In addition, we find some interesting theoretical results (see Theorem 5). Finally, we develop several efficient heuristic algorithms, comparable to the algorithms already known, that generate Turyn type sequences of sizes less than or equal to 40. |
| Země: | Portal de Revistas UCR |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Jazyk: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/38317 |
| On-line přístup: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/38317 |
| Klíčové slovo: | Turyn type sequences Goethals-Seidel theorem Hadamard matrices simulated annealing combinatorial optimization secuencias tipo Turyn teorema de Goethals-Seidal matrices de Hadamard recocido simulado optimización combinatoria |