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

Homma, Masaaki; Kim, Seon Jeong

doi:10.1016/j.ffa.2010.12.003

상세 보기

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

Homma, Masaaki;
Kim, Seon Jeong

Citations

WEB OF SCIENCE

6

Citations

SCOPUS

5

초록

For a plane curve over F-q of degree q + 1, it is known by our previous work that the number of its F-q-rational points is at most q(2) + 1. In this paper, we determine the curves that attain this maximum, up to projective equivalence, (C) 2010 Elsevier Inc. All rights reserved.

키워드

Plane curve; Finite field; Rational point; POINTS; NUMBER

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

저자: Homma, Masaaki; Kim, Seon Jeong

DOI: 10.1016/j.ffa.2010.12.003

발행일: 2011-05

유형: Article

저널명: Finite Fields and their Applications

권: 17

호: 3

페이지: 240 ~ 253