Geodesic
Probability of correct decoding for a channel with additive normal noise and a binary symmetric channel with a random choice of code words
Diskretnaya Matematika, Tome 12 (2000) no. 2, pp. 93-98 
S. V. Pazizin. Probability of correct decoding for a channel with additive normal noise and a binary symmetric channel with a random choice of code words. Diskretnaya Matematika, Tome 12 (2000) no. 2, pp. 93-98. http://geodesic.mathdoc.fr/item/DM_2000_12_2_a6/
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We consider the problem of estimating the probabilities of right decoding of messages consisting of zeros and ones in the case where zero is coded by a vector randomly chosen with equal probabilities from the set of all binary vectors of length $m$ of even weight and the one is coded by such a vector of length $m$ of odd weight. It is shown that the results for the model with additive Gaussian noise can significantly differ from the results for the simplified binary model.

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