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On the error correcting capability of LDPC codes

Filed under:
K. Sh. Zigangirov, A. E. Pusane, D. K. Zigangirov, and D. J. Costello, Jr., Problems of Information Transmission (Problemy Peredachi Informatsii), Vol. 44, No.3, pp. 50-62, September 2008.

Abstract- We consider the ensemble of low-density parity-check (LDPC) codes introduced by Gallager [1]. The Zyablov–Pinsker ma jority-logic iterative algorithm [2] for decoding LDPC codes is analyzed on the binary symmetric channel. An analytical lower bound on the error-correcting capability τmax that grows linearly in the code block length is obtained.

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