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dc.contributor.authorGarcía Planas, María Isabel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationGarcia-Planas, M.I. Families of convolutional codes over finite fields: a survey. A: "Lecture Notes in Computer Science". Berlín: Springer, 2017, p. 17-34.
dc.description.abstractThe goal of this work is to give explicit interconnections between control theory and coding. It is well-known the existence of a closed relation between linear systems over finite fields and convolutional codes that allow to understand some properties of convolutional codes and to construct them. The connection between convolutional codes and linear systems permit to consider control as well as analyze observability of convolutional codes under linear systems point of view. An accurate look at the algebraic structure of convolutional codes using techniques of linear systems theory as well a study of input-state-output representation control systems. A particular property considered in control systems theory called output-controllability property is analyzed and used for solve the decoding process of this kind of codes.
dc.format.extent18 p.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshCoding theory
dc.subject.lcshConvolutions (Mathematics)
dc.subject.otherconvolutional codes
dc.subject.otherfree distance
dc.subject.otherfamilles of convolutional codes
dc.titleFamilies of convolutional codes over finite fields: a survey
dc.typePart of book or chapter of book
dc.subject.lemacCodificació, Teoria de la
dc.subject.lemacSistemes, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorGarcia-Planas, M.I.
upcommons.citation.publicationNameLecture Notes in Computer Science

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Except where otherwise noted, content on this work is licensed under a Creative Commons license: Attribution-NonCommercial-NoDerivs 3.0 Spain