DocumentCode
923735
Title
Some results on the problem of constructing asymptotically good error-correcting codes
Author
Weldon, E.J., Jr.
Volume
21
Issue
4
fYear
1975
fDate
7/1/1975 12:00:00 AM
Firstpage
412
Lastpage
417
Abstract
Justesen has shown that concatenating a class of binary codes with a Reed-Solomon (RS) code produces asymptotically good codes. For low rates, the value of the ratio of minimum distance to code length
for such codes is substantially lower than that known to be achievable by the Zyablov bound. In this paper, we present a small class of binary codes with some useful properties. This class is then used in Justesen\´s construction to produce codes that have relatively large values of
for low rates.
for such codes is substantially lower than that known to be achievable by the Zyablov bound. In this paper, we present a small class of binary codes with some useful properties. This class is then used in Justesen\´s construction to produce codes that have relatively large values of
for low rates.Keywords
Concatenated codes; Error-correcting codes; Binary codes; Error correction codes; Helium; Interleaved codes; Reed-Solomon codes; Welding;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1975.1055420
Filename
1055420
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