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

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 ≥ q + 1.

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Cite this paper

@inproceedings{Homma2015TheSL, title={The second largest number of points of plane curves over finite fields}, author={Masaaki Homma and Seon Jeong Kim}, year={2015} }