dc.contributor.author
Rifà i Coma, Josep
dc.contributor.author
Suárez Canedo, E.
dc.identifier
https://ddd.uab.cat/record/142850
dc.identifier
urn:10.1016/j.endm.2014.08.038
dc.identifier
urn:oai:ddd.uab.cat:142850
dc.identifier
urn:articleid:15710653v46p289
dc.identifier
urn:recercauab:ARE-86937
dc.identifier
urn:scopus_id:84923996261
dc.identifier
urn:oai:egreta.uab.cat:publications/8485e89d-9be4-4c25-8081-4fcd67b5d25f
dc.description.abstract
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.
dc.format
application/pdf
dc.relation
Ministerio de Ciencia e Innovación TIN2010-17358
dc.relation
Ministerio de Ciencia e Innovación TIN2013-40524-P
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691
dc.relation
Electronic notes in discrete mathematics ; Vol. 46 (Sept. 2014), p. 289-296
dc.rights
Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.
dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Hadamard group
dc.subject
Propelinear code
dc.subject
Full propelinear codes
dc.title
About a class of Hadamard propelinear codes
