On the Construction of Codes from an Asymptotically Good Tower over F8


Autoria(s): Caleb McKinley, Shor
Data(s)

16/09/2009

16/09/2009

2007

Resumo

In 2002, van der Geer and van der Vlugt gave explicit equations for an asymptotically good tower of curves over the field F8. In this paper, we will present a method for constructing Goppa codes from these curves as well as explicit constructions for the third level of the tower. The approach is to find an associated plane curve for each curve in the tower and then to use the algorithms of Haché and Le Brigand to find the corresponding Goppa codes.

Identificador

Serdica Journal of Computing, Vol. 1, No 2, (2007), 171p-184p

1312-6555

http://hdl.handle.net/10525/338

Idioma(s)

en_US

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Asymptotically Good Tower #Code Construction #Desingularization
Tipo

Article