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dc.contributor.authorBall, Simeon Michael
dc.contributor.authorDe Beule, Jan
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2016-04-20T09:53:44Z
dc.date.available2016-04-20T09:53:44Z
dc.date.issued2012-10
dc.identifier.citationBall, S., De Beule, J. On sets of vectors of a finite vector space in which every subset of basis size is a basis II. "Designs codes and cryptography", Octubre 2012, vol. 65, núm. 1, p. 5-14.
dc.identifier.issn0925-1022
dc.identifier.urihttp://hdl.handle.net/2117/85944
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s10623-012-9658-6
dc.description.abstractThis article contains a proof of the MDS conjecture for k = 2p - 2. That is, that if S is a set of vectors of F k q in which every subset of S of size k is a basis, where q = p h, p is prime and q is not and k = 2p - 2, then |S| = q + 1. It also contains a short proof of the same fact for k = p, for all q.
dc.format.extent10 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshGraph theory
dc.subject.otherMDS conjecture
dc.subject.otherlinear codes
dc.subject.otherSingleton bound
dc.titleOn sets of vectors of a finite vector space in which every subset of basis size is a basis II
dc.typeArticle
dc.subject.lemacGrafs, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.identifier.doi10.1007/s10623-012-9658-6
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s10623-012-9658-6
dc.rights.accessOpen Access
local.identifier.drac17402651
dc.description.versionPostprint (author's final draft)
local.citation.authorBall, S.; De Beule, J.
local.citation.publicationNameDesigns codes and cryptography
local.citation.volume65
local.citation.number1
local.citation.startingPage5
local.citation.endingPage14


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