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

被引：2

作者：

Homma, Masaaki ^{[1
]}

Kim, Seon Jeong ^{[2
]}

机构：

[1] Kanagawa Univ, Dept Math & Phys, Hiratsuka, Kanagawa 2591293, Japan

[2] Gyeongsang Natl Univ, Dept Math & RINS, Jinju 660701, South Korea

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2018年 / 49卷

基金：

新加坡国家研究基金会;

关键词：

Finite field; Basis of the ideal; Plane curve;

D O I：

10.1016/j.ffa.2017.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：80 / 93

页数：14

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