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Average and reliability error exponents in low-density parity-check codes

N S Skantzos1,2, J van Mourik1, D Saad1 and Y Kabashima3

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We present a theoretical method for a direct evaluation of the average and reliability error exponents in low-density parity-check error-correcting codes using methods of statistical physics. Results for the binary symmetric channel are presented for codes of both finite and infinite connectivity.


PACS

84.40.Ua Telecommunications: signal transmission and processing; communication satellites

05.90.+m Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05)

MSC

94A05 Communication theory (See also 60G35, 90B18)

94B70 Error probability

Subjects

Electronics and devices

Statistical physics and nonlinear systems

Dates

Issue 43 (31 October 2003)

Received 23 April 2003

Published 15 October 2003



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