Title :
An improved Serre bound for elementary abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes
Author :
Moreno, O. ; Pedersen, J.P. ; Polemi, D.
Author_Institution :
Dept. of Math. & Comput. Sci., Puerto Rico Univ., Rio Piedras, Puerto Rico
fDate :
29 Jun-4 Jul 1997
Abstract :
An improvement on the Serre bound for the number of rational places is obtained here. Using our result we improve the bounds on the generalized Hamming weights of the duals of the BCH codes estimated by Stichtenoth and Voss (see IEEE Trans. Inform. Theory, vol.40, no.2, p.554-8, 1994). Our new bound is tight in the binary case of the generalized Hamming weight of BCH(2)⊥
Keywords :
BCH codes; algebra; dual codes; functional analysis; BCH codes; Serre bound; algebraic function fields; binary case; dual codes; elementary abelian extensions; generalized Hamming weights; rational places; Hamming weight; Linear code; Mathematics; Polynomials;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.612997
