Title
Yet More Projective Curves Over F2
Abstract
All plane curves of degree less than 7 with coefficients in F-2 are examined for curves with a large number of F-q rational points on their smooth model, for q = 2(m), m = 3, 4,..., 11. Known lower bounds are improved, and new curves are found meeting or close to Serre's, Lauter's, and Ihara's upper bounds for the maximal number of F-q rational points on a curve of genus g.
Year
DOI
Venue
2002
10.1080/10586458.2002.10504705
EXPERIMENTAL MATHEMATICS
Keywords
Field
DocType
error correcting codes,low genus curves,curves over finite fields
Discrete mathematics,Family of curves,Plane curve,Rational point,Mathematics,Projective test
Journal
Volume
Issue
ISSN
11.0
4.0
1058-6458
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Chris Lomont100.34