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
收藏
页码：80 / 93
页数：14
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