Title :
An improved Serre bound for elementary Abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes
Author :
Mereno, O. ; Pedersen, J.P. ; Polemi, D.
Author_Institution :
Dept. of Math., Puerto Rico Univ., Rio Piedras, Puerto Rico
fDate :
5/1/1998 12:00:00 AM
Abstract :
An improvement on the Serre bound for the number of rational places is obtained. Using our result we improve the bounds on the generalized Hamming weights of the duals of the BCH codes estimated by Stichtenoth and Voss (1994). Our new bound is tight in the binary case of the generalized Hamming weight of BCH (2)⊥
Keywords :
BCH codes; dual codes; error correction codes; group theory; BCH codes; Serre bound; dual codes; elementary Abelian extensions; generalized Hamming weights; tight bound; Contracts; Cryptography; Equations; Hamming weight; Mathematics;
Journal_Title :
Information Theory, IEEE Transactions on
