The correspondence between error-correcting convolution codes and gauge invariant spin-glass models is used to show that the optimal way to recover the original message is by decoding at a finite temperature TN(p)>0, where p is the strength of the channel noise and TN(p) the Nishimori temperature. This improves upon the retrieval performance of the T=0 maximal likelihood Viterbi decoding algorithm without increasing its computational complexity. Numerical simulations support the theory.
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P. Ruján (1993) studied this question.
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