Generalized Hamming weights of q-ary Reed-Muller codes

P.W. Heijnen; G.R. Pellikaan

doi:10.1109/18.651015

Generalized Hamming weights of q-ary Reed-Muller codes

P.W. Heijnen, G.R. Pellikaan

Research output: Contribution to journal › Article › Academic › peer-review

108 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 language	English
Pages (from-to)	181-196
Journal	IEEE Transactions on Information Theory
Volume	44
Issue number	1
DOIs	https://doi.org/10.1109/18.651015
Publication status	Published - 1998

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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.",

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AB - 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.

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DO - 10.1109/18.651015

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JO - IEEE Transactions on Information Theory

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Generalized Hamming weights of q-ary Reed-Muller codes

Abstract

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