## Toward determination of optimal plane curves with a fixed degree over a finite field

- Masaaki Homma, Seon Jeong Kim
- Finite Fields and Their Applications
- 2011

1 Excerpt

- Published 2015

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.

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