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 2^{31} codewords. This code is obtained by augmenting a (48,22,8) linear code with 2^9 - 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
Link To Document :
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