Rational points, genus and asymptotic behaviour in reduced algebraic curves over finite fields
Algebraic Geometry
2007-07-16 v1 Information Theory
math.IT
Number Theory
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.
Cite
@article{arxiv.math/9910149,
title = {Rational points, genus and asymptotic behaviour in reduced algebraic curves over finite fields},
author = {J. I. Farran},
journal= {arXiv preprint arXiv:math/9910149},
year = {2007}
}
Comments
8 pages