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

  • Homma, Masaaki
  • Kim, Seon Jeong
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초록

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.

키워드

Finite fieldBasis of the idealPlane curve
제목
The second largest number of points on plane curves over finite fields
저자
Homma, MasaakiKim, Seon Jeong
DOI
10.1016/j.ffa.2017.09.007
발행일
2018-01
유형
Article
저널명
Finite Fields and their Applications
49
페이지
80 ~ 93