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Toward determination of optimal plane curves with a fixed degree over a finite fieldopen access
- Authors
- Homma, Masaaki; Kim, Seon Jeong
- Issue Date
- May-2011
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Plane curve; Finite field; Rational point
- Citation
- FINITE FIELDS AND THEIR APPLICATIONS, v.17, no.3, pp 240 - 253
- Pages
- 14
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- FINITE FIELDS AND THEIR APPLICATIONS
- Volume
- 17
- Number
- 3
- Start Page
- 240
- End Page
- 253
- ISSN
- 1071-5797
1090-2465
- Abstract
- 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.
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