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Página principal > Artículos > Artículos publicados > About a class of Hadamard propelinear codes |
Fecha: | 2014 |
Resumen: | This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen. |
Ayudas: | Ministerio de Ciencia e Innovación TIN2010-17358 Ministerio de Ciencia e Innovación TIN2013-40524-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Hadamard group ; Propelinear code ; Full propelinear codes |
Publicado en: | Electronic notes in discrete mathematics, Vol. 46 (Sept. 2014) , p. 289-296, ISSN 1571-0653 |
Post-print 8 p, 508.1 KB |