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On binary linear codes and binary pseudo-random sequences

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dc.contributor.authorCardell, Sara D. [UNESP]
dc.contributor.authorCliment, Joan-Josep
dc.contributor.authorRequena, Verónica
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversitat d’Alacant Campus de Sant Vicent del Raspeig
dc.date.accessioned2025-04-29T18:04:53Z
dc.date.issued2024-06-01
dc.description.abstractIn this paper, we study the relation between the linear subspace of the pseudo-noise (PN)-sequences generated by a primitive polynomial and the simplex code. This family of sequences can be also seen as an Maximum Distance Separable (MDS) F2-linear code over Fr2. Furthermore, we see how to compute the family of generalized sequences produced by a primitive polynomial by means of a first-order Reed–Muller code.en
dc.description.affiliationUniversidade Estadual Paulista (Unesp) Instituto de Geociências e Ciências Exatas (IGCE), Câmpus Rio Claro
dc.description.affiliationDepartament de Matemàtiques Universitat d’Alacant Campus de Sant Vicent del Raspeig, s/n Sant Vicent del Raspeig
dc.description.affiliationUnespUniversidade Estadual Paulista (Unesp) Instituto de Geociências e Ciências Exatas (IGCE), Câmpus Rio Claro
dc.description.sponsorshipSecretaría de Estado de Investigacion, Desarrollo e Innovacion
dc.description.sponsorshipUniversidad de Alicante
dc.description.sponsorshipIdSecretaría de Estado de Investigacion, Desarrollo e Innovacion: MCIN/AEI/10.13039/501100011033
dc.description.sponsorshipIdUniversidad de Alicante: VIGROB-287
dc.identifierhttp://dx.doi.org/10.1142/S0219498825500677
dc.identifier.citationJournal of Algebra and its Applications, v. 23, n. 7, 2024.
dc.identifier.doi10.1142/S0219498825500677
dc.identifier.issn1793-6829
dc.identifier.issn0219-4988
dc.identifier.scopus2-s2.0-85196902675
dc.identifier.urihttps://hdl.handle.net/11449/296882
dc.language.isoeng
dc.relation.ispartofJournal of Algebra and its Applications
dc.sourceScopus
dc.subjectgeneralized sequences
dc.subjectPN-sequences
dc.subjectReed–Muller code
dc.subjectsimplex code
dc.titleOn binary linear codes and binary pseudo-random sequencesen
dc.typeArtigopt
dspace.entity.typePublication
unesp.author.orcid0000-0003-0225-5106[1]
unesp.author.orcid0000-0003-0522-0304[2]
unesp.author.orcid0000-0002-1497-6456[3]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas