Generalized Hamming weights of q-ary Reed-Muller codes

P.W. Heijnen; G.R. (Ruud) Pellikaan)

doi:10.1109/ISIT.1997.613295

Generalized Hamming weights of q-ary Reed-Muller codes

P.W. Heijnen, G.R. (Ruud) Pellikaan)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

Abstract

The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the geometric Goppa codes as the q-ary Reed-Muller codes. It is shown that this bound is sharp for the latter.

Original language	English
Title of host publication	Proceedings 1997 IEEE International Symposium on Information Theory (ISIT 1997, Ulm, Germany, June 29-July 4, 1997)
Publisher	Institute of Electrical and Electronics Engineers
Pages	360-
Number of pages	1
ISBN (Print)	0-7803-3956-8
DOIs	https://doi.org/10.1109/ISIT.1997.613295
Publication status	Published - 1997

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10.1109/ISIT.1997.613295

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title = "Generalized Hamming weights of q-ary Reed-Muller codes",

abstract = "The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the geometric Goppa codes as the q-ary Reed-Muller codes. It is shown that this bound is sharp for the latter.",

author = "P.W. Heijnen and Pellikaan), {G.R. (Ruud)}",

year = "1997",

doi = "10.1109/ISIT.1997.613295",

language = "English",

isbn = "0-7803-3956-8",

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Generalized Hamming weights of q-ary Reed-Muller codes. / Heijnen, P.W.; Pellikaan), G.R. (Ruud).
Proceedings 1997 IEEE International Symposium on Information Theory (ISIT 1997, Ulm, Germany, June 29-July 4, 1997). Institute of Electrical and Electronics Engineers, 1997. p. 360- 613295.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Generalized Hamming weights of q-ary Reed-Muller codes

AU - Heijnen, P.W.

AU - Pellikaan), G.R. (Ruud)

PY - 1997

Y1 - 1997

N2 - The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the geometric Goppa codes as the q-ary Reed-Muller codes. It is shown that this bound is sharp for the latter.

AB - The order bound on generalized Hamming weights is introduced in a general setting of codes on varieties which comprises both the geometric Goppa codes as the q-ary Reed-Muller codes. It is shown that this bound is sharp for the latter.

U2 - 10.1109/ISIT.1997.613295

DO - 10.1109/ISIT.1997.613295

M3 - Conference contribution

SN - 0-7803-3956-8

SP - 360-

BT - Proceedings 1997 IEEE International Symposium on Information Theory (ISIT 1997, Ulm, Germany, June 29-July 4, 1997)

PB - Institute of Electrical and Electronics Engineers

ER -

Generalized Hamming weights of q-ary Reed-Muller codes

Abstract

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