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arXiv · 1108.4227

Rational curves with many rational points over a finite field

Satoru Fukasawa·Masaaki Homma·Seon Jeong Kim
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Abstract

We study a particular plane curve over a finite field whose normalization is of genus 0. The number of rational points of this curve achieves the Aubry-Perret bound for rational curves. The configuration of its rational points and a generalization of the curve are also presented.

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Satoru Fukasawa, Masaaki Homma, Seon Jeong Kim. 2011-08-22. Rational curves with many rational points over a finite field. https://arxiv.org/abs/1108.4227

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