AN IMPROVED SERRE BOUND FOR ELEMENTARY ABELIAN EXTENSIONS OF F-Q(X) AND THE GENERALIZED HAMMING WEIGHTS OF DUALS OF BCH CODES

Authors
MORENO O PEDERSEN JP POLEMI D
Citation
O. Moreno et al., AN IMPROVED SERRE BOUND FOR ELEMENTARY ABELIAN EXTENSIONS OF F-Q(X) AND THE GENERALIZED HAMMING WEIGHTS OF DUALS OF BCH CODES, IEEE transactions on information theory, 44(3), 1998, pp. 1291-1293
Citations number
13
Categorie Soggetti
Computer Science Information Systems","Engineering, Eletrical & Electronic","Computer Science Information Systems
Journal title
IEEE transactions on information theory → ACNP
ISSN journal
00189448
Volume
44
Issue
3
Year of publication
1998
Pages
1291 - 1293
Database
ISI
SICI code
0018-9448(1998)44:3<1291:AISBFE>2.0.ZU;2-C
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 H amming weights of the duals of the BCH codes estimated by Stichtenoth and Vo beta. Our new bound is tight in the binary case of the generali zed Hamming weight of BCH(2)(perpendicular to).