Bounding the number of points on a curve using a generaliztion of Weierstrass semigroups

Peter Beelen, Diego Ruano

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

7 Citationer (Scopus)

Abstract

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 (J Pure Appl Algebra 207(2), 243–260, 2006) 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).
OriginalsprogEngelsk
TidsskriftDesigns, Codes and Cryptography
Vol/bind66
Udgave nummer1-3
Sider (fra-til)221-230
Antal sider10
ISSN0925-1022
DOI
StatusUdgivet - 2013

Fingeraftryk

Dyk ned i forskningsemnerne om 'Bounding the number of points on a curve using a generaliztion of Weierstrass semigroups'. Sammen danner de et unikt fingeraftryk.

Citationsformater