RT Book, Section
T1 Algebraic curves over F-3 with many rational points
A1 Luengo Velasco, Ignacio
A1 López, Bartolomé
A2 Christensen, Chris
A2 Sundaram, Ganesh
A2 Sundaram, Avinash
A2 Bajaj, Chandrajit
AB We present a method to find curves over the finite field F-3 with many rational points. The method is based in an arithmetic study of linear systems of projective plane curves of a given degree and prescribed singularities. We have found curves of genera 4, 5, 6, 7 and 8 which in the cases of genera 5 and 8 improve the existent bounds for the number of rational points, and in the cases of genera 4, 6 and 7 reach these bounds.
PB Springer-Verlag Berlin
SN 3-540-00475-0
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/53148
UL https://hdl.handle.net/20.500.14352/53148
NO Conference: Conference on Algebra, Arithmetic, Geometry and its Applications Location: Purdue Univ, W Lafayette, in Date: Jul 20-26, 2000
DS Docta Complutense
RD 3 abr 2025