Title :
A Note on Further Improvements of the TVZ-Bound
Author_Institution :
Dept. of Math. Sci., Clemson Univ., SC
fDate :
3/1/2007 12:00:00 AM
Abstract :
In this note, we present improvements of recent asymptotic results on constructions of nonlinear codes using algebraic geometry. The main constructions involve an adaptation of recent constructions by Niederreiter and Oumlzbudak; and Stichtenoth and Xing
Keywords :
algebraic geometric codes; nonlinear codes; TVZ-bound; algebraic geometry; nonlinear code construction; Code standards; Galois fields; Geometry; Hamming distance; Algebraic function fields; Tsfasman–Vlaˇduţ–Zink (TVZ) bound; algebraic geometry codes; asymptotic bounds;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.890722
