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dc.contributorBorges, Joaquim
dc.contributorFernández, Cristina
dc.contributor.authorTen Valls, Roger
dc.date.accessioned2013-10-25T08:04:14Z
dc.date.issued2013-07
dc.identifier.urihttp://hdl.handle.net/2099.1/19420
dc.descriptionUniversitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions
dc.description.abstractCoding theory originated as the mathematical foundation for the transmission of messages over noisy communication channels and deals with the problem of detecting and correcting transmission errors caused by the noise of the channel. The mathematical background needed for example was linear algebra, theory of groups, rings and nite elds, and other areas of discrete mathematics, as theory of designs. Thus, coding theory has now become and active part of mathematical research. On the family of codes, linear codes are special codes with rich mathematical structure. For this reason these codes are easy to construct, encoding and decoding linear codes is very quick and easy by the linearity of a code. One of the most studied class of linear codes are cyclic codes. They can be eciently implemented and they have a rich algebraic structure, for this reason many practically important codes are cyclic.. Coding theory originated as the mathematical foundation for the transmissionof messages over noisy communication channels and deals with the problem ofdetecting and correcting transmission errors caused by the noise of thechannel.On the family of codes, linear codes are special codes with rich mathematicalstructure.One ofthe most studied class of linear codes are cyclic codes. They can bee cientlyimplemented and they have a rich algebraic structure, for this reason manypractically important codes are cyclic.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshComputer science
dc.subject.otherCyclic
dc.subject.otherCode
dc.subject.otherRing
dc.titleCyclic codes over rings
dc.typeMaster thesis
dc.subject.lemacInformàtica
dc.subject.amsClassificació AMS::68 Computer science
dc.rights.accessRestricted access - author's decision
dc.date.lift10000-01-01
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística


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