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Geometries of Binary Constant Weight Codes
Karlstad University, Division for Engineering Sciences, Physics and Mathematics.
2006 (English)Independent thesis Advanced level (degree of Magister), 20 points / 30 hpStudent thesis
Abstract [en]

This thesis shows how certain classes of binary constant weight codes can be represented geometrically using linear structures in Euclidean space. The geometric treatment is concerned mostly with codes with minimum distance 2(w - 1), that is, where any two codewords coincide in at most one entry; an algebraic generalization of parts of the theory also applies to some codes without this property. The presented theorems lead to a total of 18 improvements of the table of lower bounds on A(n,d,w) maintained by E. M. Rains and N. J. A. Sloane. Additional improvements have been made by finding new lexicographic codes.

Place, publisher, year, edition, pages
2006. , p. 29
Keywords [en]
Information theory, Error-correcting codes, Constant weight codes
Keywords [sv]
Informationsteori, Felrättande koder, Koder med konstant vikt
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-88OAI: oai:DiVA.org:kau-88DiVA, id: diva2:6620
Uppsok
fysik/kemi/matematik
Supervisors
Examiners
Available from: 2006-03-06 Created: 2006-03-06

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fulltext(317 kB)757 downloads
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5d423dc58ef35daab4f78bc3ef21fe64ad415f1d57113a4648d8d652f929d38f799052ed
Type fulltextMimetype application/pdf

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CiteExportLink to record
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  • apa
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