DocumentCode
1381687
Title
The weight hierarchies of some product codes
Author
Park, Jeng Yune
Author_Institution
Dept. of Math., Wisconsin Univ., Madison, WI, USA
Volume
46
Issue
6
fYear
2000
fDate
9/1/2000 12:00:00 AM
Firstpage
2228
Lastpage
2235
Abstract
We determine the weight hierarchies of the product of an n-tuple space and an arbitrary code, the product of an m-dimensional even-weight code and the [24,12,8] extended Golay code, and the product of an m-dimensional even-weight code and the [8,4,4] extended Hamming code. The conjecture dr=d*r is proven for all three cases
Keywords
Golay codes; Hamming codes; binary codes; linear codes; arbitrary code; binary linear codes; extended Golay code; extended Hamming code; m-dimensional even-weight code; n-tuple space; product codes; weight hierarchies; Concatenated codes; Conferences; Convolutional codes; Information theory; Iterative decoding; Maximum likelihood decoding; Merging; Parity check codes; Product codes; Turbo codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.868495
Filename
868495
Link To Document