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

J. I. Farran
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Abstract

The 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.

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BibTeXRIS

J. I. Farran. 1999-10-27. Rational points, genus and asymptotic behaviour in reduced algebraic curves over finite fields. https://arxiv.org/abs/math/9910149

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