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FFT-Based BP Decoding of General LDPC Codes Over Abelian Groups

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4 Author(s)
Goupil, A. ; Univ. de Reims Champagne-Ardenne ; Colas, M. ; Gelle, G. ; Declercq, D.

We introduce a wide class of low-density parity-check (LDPC) codes, large enough to include LDPC codes over finite fields, rings, or groups, as well as some nonlinear codes. A belief-propagation decoding procedure with the same complexity as for the decoding of LDPC codes over finite fields is also presented. Moreover, an encoding procedure is developed

Published in:

Communications, IEEE Transactions on  (Volume:55 ,  Issue: 4 )

Date of Publication:

April 2007

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