RT info:eu-repo/semantics/article
T1 Bounding the number of points on a curve using a generalization of Weierstrass semigroups
A1 Beelen, Peter
A1 Ruano Benito, Diego
AB In this article we use techniques from coding theory to derive upper bounds for the number of rational places of the function field of an algebraic curve defined over a finite field. The used techniques yield upper bounds if the (generalized) Weierstrass semigroup for an n-tuple of places is known, even if the exact defining equation of the curve is not known. As shown in examples, this sometimes enables one to get an upper bound for the number of rational places for families of function fields. Our results extend results in [J. Pure Appl. Algebra, 213(6):1152-1156, 2009] .
YR 2013
FD 2013
LK http://uvadoc.uva.es/handle/10324/31750
UL http://uvadoc.uva.es/handle/10324/31750
LA eng
NO Designs, Codes and Cryptography. Volume 66, Issue 1-3, pages 221-230 (2013)
NO Producción Científica
DS UVaDOC
RD 28-abr-2024