DocumentCode
1087775
Title
On the undetected error probability of binary expansions of Reed-Solomon codes
Author
Leung, Clement
Volume
42
Issue
4
fYear
1996
fDate
7/1/1996 12:00:00 AM
Firstpage
1271
Lastpage
1274
Abstract
It has been shown by Kasami and Lin (see IEEE Trans. Commun., vol.32, p.998, 1984) that (n,k) Reed-Solomon codes used over a q-ary symmetric channel are proper. In this correspondence, it is shown that the binary expansions of these codes and their extensions, when used on the binary-symmetric channel, are not necessarily proper. In particular, certain codes of rate less than [1-log2m+{(m-1)/m}log2 (m-1)] where m=log2 q are not proper
Keywords
Reed-Solomon codes; error statistics; telecommunication channels; Reed-Solomon codes; binary expansions; binary-symmetric channel; q-ary symmetric channel; undetected error probability; Algorithm design and analysis; Decoding; Electrons; Equations; Error probability; Memoryless systems; Reed-Solomon codes; Registers; Signal processing algorithms; Testing;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.508857
Filename
508857
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