Tighter Decoding Reliability Bound for Gallager's Error-Correcting Code

Details Tighter Decoding Reliability Bound for Gallager's Error-Correcting Code Tighter Decoding Reliability Bound for Gallager's Error-Correcting Code

2000-10-12

arxiv.org/abs/cond-mat/0010173v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 1 figure

Scientific paper

10.1103/PhysRevE.64.046113

Statistical physics is employed to evaluate the performance of error-correcting codes in the case of finite message length for an ensemble of Gallager's error correcting codes. We follow Gallager's approach of upper-bounding the average decoding error rate, but invoke the replica method to reproduce the tightest general bound to date, and to improve on the most accurate zero-error noise level threshold reported in the literature. The relation between the methods used and those presented in the information theory literature are explored.

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