Finite-connectivity systems as error-correcting codes

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Finite-connectivity systems as error-correcting codes.

We investigate the performance of parity check codes using the mapping onto Ising spin systems proposed by Sourlas [Nature (London) 339, 693 (1989); Europhys. Lett. 25, 159 (1994)]. We study codes where each parity check comprises products of K bits selected from the original digital message with exactly C checks per message bit. We show, using the replica method, that these codes saturate Shan...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 1999

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.60.5352