DocumentCode :
929001
Title :
Readable erasures improve the performance of Reed-Solomon codes (Corresp.)
Author :
Berlekamp, Elwyn R. ; Ramsey, John L.
Volume :
24
Issue :
5
fYear :
1978
fDate :
9/1/1978 12:00:00 AM
Firstpage :
632
Lastpage :
633
Abstract :
Since well-known decoding algorithms [1],[2] are able to correct both character errors and character erasures with q -ary Reed-Solomon codes, some modulation and demodulation schemes designed to be used with such codes provide a channel that has q inputs and q + 1 outputs, q of which correspond to the q inputs and one of which corresponds to the "erasure" symbol. This correspondence points om the relative advantages offered by a slightly more refined demodulation scheme, which creates a digital channel that has q inputs and 2_{q} outputs, q of which correspond to "strong" receptions of the inputs and q of which correspond to "weak" receptions of the inputs. For decoding purposes, all q weak outputs may be treated as erasures, but the fact that the channel now provides additional information facilitates improved decoding performance by reading the weak characters under the erasures.
Keywords :
Decoding; Reed-Solomon codes; Costs; Decoding; Demodulation; Electrons; Error correction codes; Hardware; Information theory; Modulation coding; Reed-Solomon codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1978.1055931
Filename :
1055931
Link To Document :
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