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2005-11-02Buch DOI: 10.18452/2557
Decoding of codes on Picard curves
dc.contributor.authorSarlabous, Jorge Estrada
dc.contributor.authorBarcelo, Jorge Alejandro Pineiro
dc.date.accessioned2017-06-15T17:32:45Z
dc.date.available2017-06-15T17:32:45Z
dc.date.created2005-11-02
dc.date.issued2005-11-02
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3209
dc.description.abstractThe Picard curves are genus three curves with a non trivial automorphism, which have been intensively studied due their connection with interesting number theoretic problems. In 1989, R. Pellikaan obtained an algorithm decoding geometric codes up to [(d*-1)/2]-errors, where d* is the designed distance of the code. His algorithm is not completely effective, but recently some authors have given an effective answer to Pellikaan's algorithm using the particular features of special curves, such as the Klein quartic and the hyperelliptic curves. In this paper we show that the Picard curves are suitable to obtain an effective answer to Pellikaan's algorithm.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectError Correcting Codeseng
dc.subjectPicard curveseng
dc.subjectJacobian Varietieseng
dc.subject.ddc510 Mathematik
dc.titleDecoding of codes on Picard curves
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10051779
dc.identifier.doihttp://dx.doi.org/10.18452/2557
dc.subject.dnb17 Wirtschaft
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages10
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1996
local.edoc.container-issue30
local.edoc.container-year1996
local.edoc.container-erstkatid2075199-0

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