Publication:
An orbital construction of optimum distance flag codes

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.contributor.authorAlonso-González, Clementa
dc.contributor.authorNavarro Pérez, Miguel Ángel
dc.contributor.authorSoler-Escrivá, Xaro
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-05-25T07:28:28Z
dc.date.available2023-05-25T07:28:28Z
dc.date.issued2021-08
dc.description.abstractFlag codes are multishot network codes consisting of sequences of nested subspaces (flags) of a vector space Fnq , where q is a prime power and Fq, the finite field of size q. In this paper we study the construction on F2kq of full flag codes having maximum distance (optimum distance full flag codes) that can be endowed with an orbital structure provided by the action of a subgroup of the general linear group. More precisely, starting from a subspace code of dimension k and maximum distance with a given orbital description, we provide sufficient conditions to get an optimum distance full flag code on F2kq having an orbital structure directly induced by the previous one. In particular, we exhibit a specific orbital construction with the best possible size from an orbital construction of a planar spread on F2kq that strongly depends on the characteristic of the field.en
dc.description.sponsorshipThe authors receive financial support from Ministerio de Ciencia e Innovación (PID2019-108668GB-I00). The second author is supported by Generalitat Valenciana and Fondo Social Europeo (ACIF/2018/196).en
dc.format.extent21
dc.identifier.bibliographicCitationAlonso-González, C., Navarro-Pérez, M. Á., & Soler-Escrivà, X. (2021). An orbital construction of optimum distance flag codes. Finite Fields and Their Applications, 73, 101861.en
dc.identifier.doihttps://doi.org/10.1016/j.ffa.2021.101861
dc.identifier.issn1071-5797
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue101861
dc.identifier.publicationlastpage21
dc.identifier.publicationtitleFinite Fields and Their Applicationsen
dc.identifier.publicationvolume73
dc.identifier.urihttps://hdl.handle.net/10016/37356
dc.identifier.uxxiAR/0000033014
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. PID2019-108668GB-I00es
dc.rights© 2021 The Authors.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherNetwork codingen
dc.subject.otherSpreadsen
dc.subject.otherSubspace codesen
dc.subject.otherOrbit codesen
dc.subject.otherFlag codesen
dc.subject.otherGeneral linear groupen
dc.titleAn orbital construction of optimum distance flag codesen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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