Rational points, genus and asymptotic behaviour in reduced algebraic curves over finite fields

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dc.creatorFarran, J. I.
dc.date1999-10-27
dc.date.accessioned2026-07-07T08:18:18Z
dc.date.available2026-07-07T08:18:18Z
dc.descriptionThe number A(q) shows the asymptotic behaviour of the quotient of the number of rational points over the genus of non-singular absolutely irreducible curves over a finite field Fq. Research on bounds for A(q) is closely connected with the so-called asymptotic main problem in Coding Theory. In this paper, we study some generalizations of this number for non-irreducible curves, their connection with A(q) and its application in Coding Theory.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/9910149
dc.identifierhttp://arxiv.org/abs/math/9910149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134386
dc.subjectAlgebraic Geometry
dc.subjectInformation Theory
dc.subjectNumber Theory
dc.subject14Q05
dc.titleRational points, genus and asymptotic behaviour in reduced algebraic curves over finite fields
dc.typetext

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