Generalized Hamming weights of q-ary Reed-Muller codes

P.W. Heijnen, G.R. Pellikaan

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72 Citations (Scopus)

Abstract

The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the one point geometric Goppa codes as well as the q-ary Reed-Muller codes. For the latter codes it is shown that this bound is sharp and that they satisfy the double chain condition.
Original languageEnglish
Pages (from-to)181-196
JournalIEEE Transactions on Information Theory
Volume44
Issue number1
DOIs
Publication statusPublished - 1998

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