The symmetry group of Z(q)(n) in the Lee space and the Z(qn)-linear codes

Página do item simplificado
dc.contributor.authorCosta, SR
dc.contributor.authorGeronimo, JR
dc.contributor.authorPalazzo, R.
dc.contributor.authorInterlando, J. C.
dc.contributor.authorAlves, MMS
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Maringá (UEM)
dc.date.accessioned2014-05-20T15:19:56Z
dc.date.available2014-05-20T15:19:56Z
dc.date.issued1997-01-01
dc.description.abstractThe Z(4)-linearity is a construction technique of good binary codes. Motivated by this property, we address the problem of extending the Z(4)-linearity to Z(q)n-linearity. In this direction, we consider the n-dimensional Lee space of order q, that is, (Z(q)(n), d(L)), as one of the most interesting spaces for coding applications. We establish the symmetry group of Z(q)(n) for any n and q by determining its isometries. We also show that there is no cyclic subgroup of order q(n) in Gamma(Z(q)(n)) acting transitively in Z(q)(n). Therefore, there exists no Z(q)n-linear code with respect to the cyclic subgroup.en
dc.description.affiliationUNICAMP, IMECC, Inst Math & Stat, PHD Program, Campinas, Brazil
dc.description.affiliationUNICAMP, Fac Elect & Comp Engn, Dept Telemat, Campinas, Brazil
dc.description.affiliationUniv Estadual Paulista, UNESP, Dept Math, Campinas, Brazil
dc.description.affiliationUniv Estadual Maringa, Inst Exact Sci, Dept Math, Maringa, Parana, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Dept Math, Campinas, Brazil
dc.format.extent66-77
dc.identifierhttp://dx.doi.org/10.1007/3-540-63163-1_6
dc.identifier.citationApplied Algebra, Algebraic Algorithms and Error-correcting Codes. Berlin 33: Springer-verlag Berlin, v. 1255, p. 66-77, 1997.
dc.identifier.doi10.1007/3-540-63163-1_6
dc.identifier.issn0302-9743
dc.identifier.urihttp://hdl.handle.net/11449/31314
dc.identifier.wosWOS:000074028200006
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofApplied Algebra, Algebraic Algorithms and Error-correcting Codes
dc.relation.ispartofsjr0,295
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleThe symmetry group of Z(q)(n) in the Lee space and the Z(qn)-linear codesen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer

Arquivos

Licença do Pacote
Agora exibindo 1 - 1 de 1
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:

Coleções

Artigos