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arXiv · 1610.02978

Number of points on a family of curves over a finite field

Thieyacine Top
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Abstract

In this paper we study a family of curves obtained by fibre products of hyperelliptic curves. We then exploit this family to construct examples of curves of given genus g over a finite field Fq with many rational points. The results obtained improve the known bounds for a few pairs (q, g).

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Thieyacine Top. 2016-10-10. Number of points on a family of curves over a finite field. https://arxiv.org/abs/1610.02978

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