Title :
Nonlinear codes from algebraic curves improving the Tsfasman-Vladut-Zink bound
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Anhui, China
fDate :
7/1/2003 12:00:00 AM
Abstract :
In the present paper, we construct a class of nonlinear codes by making use of higher order derivatives of certain functions of algebraic curves. It turns out that the asymptotic bound derived from the Goppa geometry codes can be improved for the entire interval (0,1). In particular, the Tsfasman-Vladut-Zink (TVZ) bound is ameliorated for the entire interval (0,1).
Keywords :
Goppa codes; geometric codes; nonlinear codes; Goppa geometry codes; Tsfasman-Vladut-Zink bound; algebraic curves; asymptotic bound; higher order derivatives; nonlinear codes; Chaos; Entropy; Galois fields; Geometry; Linear code; Mathematics;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2003.813559
