RT info:eu-repo/semantics/article
T1 Error-correcting codes on projective bundles over Deligne-Lusztig varieties
A1 Camazón Portela, Daniel
A1 López Ramos, Juan Antonio
K1 Error-correcting codes (Information theory)
K1 Códigos correctores de errores (Teoría de la información)
K1 Information theory
K1 Información, Teoría de la
K1 Mathematics
K1 Algebraic geometry
K1 Vector bundles
K1 Vectores
K1 Intersection theory (Mathematics)
K1 Deligne–Lusztig varieties
K1 12 Matemáticas
K1 1201.01 Geometría Algebraica
AB The aim of this article is to give lower bounds on the parameters of algebraic geometric error-correcting codes constructed from projective bundles over Deligne–Lusztig surfaces. The methods based on an intensive use of the intersection theory allow us to extend the codes previously constructed from higher-dimensional varieties, as well as those coming from curves. General bounds are obtained for the case of projective bundles of rank 2 over standard Deligne–Lusztig surfaces, and some explicit examples coming from surfaces of type A2 and 2A4 are given.
PB MDPI
SN 2227-7390
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/66539
UL https://uvadoc.uva.es/handle/10324/66539
LA eng
NO Mathematics, 2023, Vol. 11, Nº. 14, 3079
NO Producción Científica
DS UVaDOC
RD 08-ene-2025