Statistical physics of low density parity check error correcting codes


We study the performance of Low Density Parity Check (LDPC) error-correcting codes using the methods of statistical physics. LDPC codes are based on the generation of codewords using Boolean sums of the original message bits by employing two randomly-constructed sparse matrices. These codes can be mapped onto Ising spin models and studied using common methods of statistical physics. We examine various regular constructions and obtain insight into their theoretical and practical limitations. We also briefly report on results obtained for irregular code constructions, for codes with non-binary alphabet, and on how a finite system size effects the error probability.

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Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: The original publication is available at
Event Title: Cryptography and Coding, 8-th IMA International Conference
Event Type: Other
Event Dates: 2001-01-01 - 2001-01-01
Uncontrolled Keywords: Low Density Parity Check (LDPC),error correcting codes,statistical physics,boolean,sparse matrices,Ising spin models,irregular code,error probability
ISBN: 9783540430261
Last Modified: 02 Jan 2024 08:25
Date Deposited: 14 Sep 2009 14:41
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://www.spri ... 02rqa22k1arbvw/ (Publisher URL)
PURE Output Type: Chapter
Published Date: 2001-01-01
Authors: Saad, David (ORCID Profile 0000-0001-9821-2623)
Kabashima, Yoshiyuki
Murayama, Tatsuto
Vicente, Renato



Version: Accepted Version

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