Critical noise levels for low-density parity check decoding

van Mourik, Jort, Saad, David and Kabashima, Yoshiyuki (2002). Critical noise levels for low-density parity check decoding. Physical Review E, 66 (2),


We determine the critical noise level for decoding low-density parity check error-correcting codes based on the magnetization enumerator (M), rather than on the weight enumerator (W) employed in the information theory literature. The interpretation of our method is appealingly simple, and the relation between the different decoding schemes such as typical pairs decoding, MAP, and finite temperature decoding (MPM) becomes clear. In addition, our analysis provides an explanation for the difference in performance between MN and Gallager codes. Our results are more optimistic than those derived using the methods of information theory and are in excellent agreement with recent results from another statistical physics approach.

Publication DOI:
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: Copyright 2008 Elsevier B.V., All rights reserved.
Uncontrolled Keywords: critical,noise levels ,low-density,parity check decoding
Full Text Link: http://journals ... sRevE.66.026705
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2002-08-28
Authors: van Mourik, Jort
Saad, David ( 0000-0001-9821-2623)
Kabashima, Yoshiyuki

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