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arXiv · 1509.02247

The second largest number of points of plane curves over finite fields

Masaaki Homma·Seon Jeong Kim
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Abstract

A basis of the ideal of the complement of a linear subspace in a projective space over a finite field is given. As an application, the second largest number of points of plane curves of degree $d$ over the finite field of $q$ elements is also given for $d\geq q+1$.

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Masaaki Homma, Seon Jeong Kim. 2015-09-08. The second largest number of points of plane curves over finite fields. https://arxiv.org/abs/1509.02247

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