An improved Serre bound for elementary Abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes

 
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1998 (EN)
An improved Serre bound for elementary Abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes (EN)

Pedersen, JP (EN)
Polemi, D (EN)
Moreno, O (EN)

N/A (EN)

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 Vo beta. Our new bound is tight in the binary case of the generalized Hamming weight of BCH(2)(perpendicular to). (EN)

journalArticle

Elementary Abelian extensions (EN)
LINEAR CODES (EN)
BCH codes (EN)
Generalized Hamming weights (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

IEEE Transactions on Information Theory (EN)

1998


IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC (EN)



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