GENERALIZED HAMMING WEIGHTS OF Q-ARY REED-MULLER CODES

Citation
P. Heijnen et R. Pellikaan, GENERALIZED HAMMING WEIGHTS OF Q-ARY REED-MULLER CODES, IEEE transactions on information theory, 44(1), 1998, pp. 181-196
Citations number
44
Categorie Soggetti
Computer Science Information Systems","Engineering, Eletrical & Electronic","Computer Science Information Systems
ISSN journal
00189448
Volume
44
Issue
1
Year of publication
1998
Pages
181 - 196
Database
ISI
SICI code
0018-9448(1998)44:1<181:GHWOQR>2.0.ZU;2-E
Abstract
The order bound on generalized Hamming weights is introduced in a gene ral setting of codes on varieties which comprises both the one point g eometric Goppa codes as well as the q-ary Reed-Muller codes. For the l atter codes it is shown that this bound is sharp and that they satisfy the double chain condition.