On algebraic geometric codes and some related codes

Simple item page
dc.contributor.advisorGreen, Barry W.
dc.contributor.authorGuenda, Kenza
dc.contributor.otherUniversity of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences.
dc.date.accessioned2008-07-15T10:40:13Zen_ZA
dc.date.accessioned2010-06-01T08:39:14Z
dc.date.available2008-07-15T10:40:13Zen_ZA
dc.date.available2010-06-01T08:39:14Z
dc.date.issued2006-12
dc.descriptionThesis (MSc (Mathematics))--University of Stellenbosch, 2006.
dc.description.abstractThe main topic of this thesis is the construction of the algebraic geometric codes (Goppa codes), and their decoding by the list-decoding, which allows one to correct beyond half of the minimum distance. We also consider the list-decoding of the Reed–Solomon codes as they are subclass of the Goppa codes, and the determination of the parameters of the non primitive BCH codes. AMS Subject Classification: 4B05, 94B15, 94B35, 94B27, 11T71, 94B65,B70. Keywords: Linear codes, cyclic codes, BCH codes, Reed–Solomon codes, list-decoding, Algebraic Geometric codes, decoding, bound on codes, error probability.en
dc.identifier.urihttp://hdl.handle.net/10019.1/2033
dc.language.isoen
dc.publisherStellenbosch : University of Stellenbosch
dc.rights.holderUniversity of Stellenbosch
dc.subjectAlgebraic geometric codesen
dc.subjectError probabilityen
dc.subjectBCH codesen
dc.subjectList decodingen
dc.subjectDissertations -- Mathematicsen
dc.subjectTheses -- Mathematicsen
dc.subjectGeometry, Algebraicen
dc.subjectGoppa codesen
dc.subjectReed-Solomon codesen
dc.titleOn algebraic geometric codes and some related codesen
dc.typeThesis
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
guenda_algebraic_2006.pdf
Size:
478.58 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Masters Degrees (Mathematical Sciences)