DocumentCode
1254189
Title
Generalized Hamming weights of q-ary Reed-Muller codes
Author
Heijnen, Petra ; Pellikaan, Ruud
Author_Institution
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
Volume
44
Issue
1
fYear
1998
fDate
1/1/1998 12:00:00 AM
Firstpage
181
Lastpage
196
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
Keywords
Goppa codes; Hamming codes; Reed-Muller codes; algebraic geometric codes; algebraic geometry codes; double chain condition; generalized Hamming weights; one point geometric Goppa codes; order bound; order functions; q-ary Reed-Muller codes; Galois fields; Hamming weight; Linear code; Mathematics; Polynomials; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.651015
Filename
651015
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