NDLI: Enumerators for protograph ensembles of LDPC codes

Content Provider	IEEE Xplore Digital Library
Author	Fogal, S.L. McEliece, R. Thorpe, J.
Copyright Year	2005
Description	Author affiliation: California Inst. of Technol., Pasadena, CA (Fogal, S.L.; McEliece, R.; Thorpe, J.)
Abstract	This paper considers the problem of finding average enumerators for the class of protograph ensembles, which are related in a certain way to quasi-cyclic codes. Our methods, which are necessarily different from those used to compute enumerators for classical irregular ensembles, can be applied to both codeword and stopping set weight enumerators. The method divides codewords into types based on their partial weight enumerator. For each type, an exponent can be computed for the average number of codewords of that type. Maximizing over types of fixed average weight gives the average enumerator which we seek. Although this maximization step is in general difficult because of non-unique local maxima, we can compute it for simple cases. We show that certain ensembles exist which have a linearly growing minimum distance with high probability, while others have at most sublinearly growing minimum distance with high probability
Starting Page	2156
Ending Page	2160
File Size	188309
Page Count	5
File Format	PDF
ISBN	0780391519
DOI	10.1109/ISIT.2005.1523728
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-09-04
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Parity check codes Code standards Error correction codes Error probability Capacity planning Decoding Computational modeling Frequency Bipartite graph
Content Type	Text
Resource Type	Article

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