Weights in Codes and Genus 2 Curves

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dc.creatorMcGuire, Gary
dc.creatorVoloch, Jose Felipe
dc.date2003-06-03
dc.date.accessioned2026-07-07T04:58:32Z
dc.date.available2026-07-07T04:58:32Z
dc.descriptionWe discuss a class of binary cyclic codes and their dual codes. The minimum distance is determined using algebraic geometry, and an application of Weil's theorem. We relate the weights appearing in the dual codes to the number of rational points on a family of genus 2 curves over a finite field.
dc.identifierhttps://arxiv.org/abs/math/0306060
dc.identifierhttp://arxiv.org/abs/math/0306060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67677
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject94B27, 11T71, 14H10, 94B15
dc.titleWeights in Codes and Genus 2 Curves
dc.typetext

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