NDLI: Performance of a general decoding technique over the class of randomly chosen parity check codes

Content Provider	IEEE Xplore Digital Library
Author	Oh, K.T. Matzner, J.J.
Copyright Year	1963
Abstract	The paper extends a general decoding technique developed by Metzner and Kapturowski (1990) for concatenated code outer codes and for file disagreement location. That work showed the ability to correct most cases of d-2 or fewer erroneous block symbols, where d is the outer code minimum distance. Any parity check code can be used as the basis for the outer codes, and yet decoding complexity increases at most as the third power of the code length. In this correspondence, it is shown that, with a slight modification and no significant increase in complexity, the general decoding technique can be applied to the correction of many other cases beyond the code minimum distance. By considering average performance over all binary randomly chosen codes, it is seen that most error patterns of t/sub M/ or fewer block errors can be corrected, where: 1) t/sub M/ in most cases is much greater than the code minimum distance, and 2) asymptotically, the ratio of t/sub M/ to the theoretical maximum (the number of parity symbol blocks) approaches 1. Moreover, most cases of noncorrectable error block patterns are detected.<>
Sponsorship	IEEE Information Theory Society
Starting Page	160
Ending Page	166
Page Count	7
File Size	706433
File Format	PDF
ISSN	00189448
Volume Number	40
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decoding Parity check codes Error correction codes Concatenated codes Block codes Error correction Vectors Constraint theory Information theory Computer errors
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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