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dc.contributor.advisorJohnsen, Trygve
dc.contributor.advisorVerdure, Hugues
dc.contributor.authorZubair, Ali
dc.description.abstractWe first describe linear error-correcting codes, and show how many of their most important properties are determined by their associated matroids . We also introduce the simplicial complex of the independent sets of a matroid. We then proceed to study flags of linear codes, and recall the definition of demi-matroids, and how such demi-matroids associated to flags can describe important properties of these flags, analogous to how individual codes are described by associated matroids. We also study the interplay between demi- matroids and simplicial complexes.en_US
dc.publisherUiT Norges arktiske universiteten_US
dc.publisherUiT The Arctic University of Norwayen_US
dc.rights.holderCopyright 2015 The Author(s)
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414en_US
dc.subjectAlgebraic combinatoricsen_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414en_US
dc.titleSimplicial complexes, Demi-matroids, Flag of linear codes and pair of matroids.en_US
dc.typeMaster thesisen_US

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Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0)