Average and reliability error exponents in low-density parity-check codes
N.S. Skantzos, J. van Mourik, D. Saad, Y. Kabashima
TL;DR
This paper introduces a statistical physics-based theoretical method to evaluate the average and reliability error exponents in low-density parity-check codes, applicable to binary symmetric channels with finite and infinite connectivity.
Contribution
It provides a novel analytical approach for directly computing error exponents in LDPC codes using statistical physics techniques.
Findings
Effective evaluation of error exponents for finite connectivity LDPC codes
Extension of methods to infinite connectivity cases
Application to binary symmetric channel (BSC)
Abstract
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 (BSC) are presented for codes of both finite and infinite connectivity.
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