Codes, arrangements and matroids

R.P.M.J. Jurrius, G.R. Pellikaan

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

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This chapter treats error-correcting codes and their weight enumerator as the center of several closely related topics such as arrangements of hyperplanes, graph theory, matroids, posets and geometric lattices and their characteristic, chromatic, Tutte, Möbius and coboundary polynomial, respectively. Their interrelations and many examples and counterexamples are given. It is concluded with a section with references to the literature for further reading and open questions.
Original languageEnglish
Title of host publicationAlgebraic geometry modeling in information theory
EditorsE. Martínez-Moro
Place of PublicationLondon
PublisherWorld Scientific
Number of pages336
ISBN (Print)978-981-4335-75-1
Publication statusPublished - 2013

Publication series

NameSeries on Coding Theory and Cryptology


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