Still better nonlinear codes from modular curves

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dc.creatorElkies, Noam D.
dc.date2003-08-05
dc.date.accessioned2026-07-07T08:18:14Z
dc.date.available2026-07-07T08:18:14Z
dc.descriptionWe give a new construction of nonlinear error-correcting codes over suitable finite fields k from the geometry of modular curves with many rational points over k, combining two recent improvements on Goppa's construction. The resulting codes are asymptotically the best currently known.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0308046
dc.identifierhttp://arxiv.org/abs/math/0308046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134359
dc.subjectNumber Theory
dc.subjectInformation Theory
dc.subjectAlgebraic Geometry
dc.subject94B27; 94B65
dc.titleStill better nonlinear codes from modular curves
dc.typetext

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