DocumentCode
919973
Title
A (48, 31, 8) linear code (Corresp.)
Author
Rao, Venkat V. ; Reddy, Sudhakar M.
Volume
19
Issue
5
fYear
1973
fDate
9/1/1973 12:00:00 AM
Firstpage
709
Lastpage
711
Abstract
In this paper we construct a linear code having length 48, minimum distance 8, and containing 
codewords. This code is obtained by augmenting a (48,22,8) linear code with 
- 1 cosets so that the minimum distance is not reduced. The (48,22,8) code used is the direct product of a (16,11,4) extended Hamming code and a (3,2,2) single-parity-check code. The new code has twice as many codewords as the best linear or nonlinear code previously known.
codewords. This code is obtained by augmenting a (48,22,8) linear code with - 1 cosets so that the minimum distance is not reduced. The (48,22,8) code used is the direct product of a (16,11,4) extended Hamming code and a (3,2,2) single-parity-check code. The new code has twice as many codewords as the best linear or nonlinear code previously known.Keywords
Linear codes; Channel capacity; Cities and towns; Current measurement; Electric variables measurement; Linear code; Product codes; Rate-distortion; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1973.1055058
Filename
1055058
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