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Cited 2 time in webofscience Cited 2 time in scopus
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The second largest number of points on plane curves over finite fieldsopen access

Authors
Homma, MasaakiKim, Seon Jeong
Issue Date
Jan-2018
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Keywords
Finite field; Basis of the ideal; Plane curve
Citation
FINITE FIELDS AND THEIR APPLICATIONS, v.49, pp 80 - 93
Pages
14
Indexed
SCI
SCIE
SCOPUS
Journal Title
FINITE FIELDS AND THEIR APPLICATIONS
Volume
49
Start Page
80
End Page
93
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/12029
DOI
10.1016/j.ffa.2017.09.007
ISSN
1071-5797
1090-2465
Abstract
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.
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