Near weights on higher dimensional varieties

Número: 
15
Ano: 
2014
Autor: 
Cícero Carvalho
Rafael Peixoto
Fernando Torres
Abstract: 

We generalize the concept of near weight stated in [2007, IEEE Trans. Inform. Theory 53(5), 1919–1924] in the sense that we consider maps to arbitrary well-ordered semigroups instead of the nonnegative integers. This concept can be used as a tool to study AG codes based on more than one point via elementary methods only.

Keywords: 
near weight structures
evaluation codes
admissible set
Mathematics Subject Classification 2010 (MSC 2010): 
94B27; 14G50;
Observação: 
12/14
Arquivo: