DocumentCode
1018169
Title
On the generalized Hamming weights of product codes
Author
Wei, Victor K. ; Yang, Kyeongcheol
Author_Institution
Bellcore, Morristown, NJ, USA
Volume
39
Issue
5
fYear
1993
fDate
9/1/1993 12:00:00 AM
Firstpage
1709
Lastpage
1713
Abstract
The rth generalized Hamming weight of a linear code is the minimum support size of any r-dimensional subcode. It has been found useful in the studies of cryptography and trellis coding. The authors derive several results on expressing the generalized Hamming weights of a product code in terms of those of its component codes. They also formulate a general conjecture
Keywords
Hamming codes; cryptography; encoding; trellis codes; cryptography; generalized Hamming weights; linear code; product codes; subcode; trellis coding; Block codes; Cryptography; Dynamic programming; Hamming weight; Linear code; Maximum likelihood decoding; Notice of Violation; Parity check codes; Product codes; Viterbi algorithm;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.259662
Filename
259662
Link To Document