Quasi-perfect codes in the l(p) metric

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dc.citation.issue2
dc.citation.volumev. 37
dc.contributor.authorStrapasson, Joao E.
dc.contributor.authorJorge, Grasiele C. [UNIFESP]
dc.contributor.authorCampello, Antonio
dc.contributor.authorCosta, Sueli I. R.
dc.coverageHeidelberg
dc.date.accessioned2020-07-20T16:30:50Z
dc.date.available2020-07-20T16:30:50Z
dc.date.issued2018
dc.description.abstractWe introduce the notion of degree of imperfection of a code in Z(n) with the l(p) metric, to extend the so-called quasi-perfect codes. Through the establishment of bounds and computational approach, we determine all radii for which there are linear quasi-perfect codes for p = 2 and n = 2, 3. Numerical results concerning the codes with small degree of imperfection are also presented.en
dc.description.affiliationUniv Estadual Campinas, UNICAMP, BR-13484350 Limeira, SP, Brazil
dc.description.affiliationUniv Fed Sao Paulo, UNIFESP, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, UNICAMP, BR-13083859 Campinas, SP, Brazil
dc.description.affiliationUnifespUniv Fed Sao Paulo, UNIFESP, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.sourceWeb of Science
dc.description.sponsorshipFAPESP
dc.description.sponsorshipCNPq
dc.description.sponsorshipIDFAPESP: 2015/17167-0
dc.description.sponsorshipIDFAPESP: 2014/20602-8
dc.description.sponsorshipIDFAPESP: 2013/25977-7
dc.description.sponsorshipIDCNPq: 312926/2013-8
dc.format.extent852-866
dc.identifierhttp://dx.doi.org/10.1007/s40314-016-0372-2
dc.identifier.citationComputational & Applied Mathematics. Heidelberg, v. 37, n. 2, p. 852-866, 2018.
dc.identifier.doi10.1007/s40314-016-0372-2
dc.identifier.issn0101-8205
dc.identifier.urihttps://repositorio.unifesp.br/handle/11600/55549
dc.identifier.wosWOS:000432815000002
dc.language.isoeng
dc.publisherSpringer Heidelberg
dc.relation.ispartofComputational & Applied Mathematics
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectTilingsen
dc.subjectLatticesen
dc.subjectQuasi-perfect codesen
dc.subjectl(p)metricen
dc.titleQuasi-perfect codes in the l(p) metricen
dc.typeinfo:eu-repo/semantics/article
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