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Let p b e t h e 1 to 0 bit error probability a n dfor t h e binary s y m m e t r i c channel). Coding schemes are also given t h a t almost achieve t h e Z-channel capacity. Index terms: A s y m m e t r i c / s y m m e t r i c errors, channel capacity, error control codes, balanced/constant weight codes.In the asymmetric channel (or Z-channel) model, the probability of 0 to 1 error is zero and that of 1 to 0 error is some fixed p .

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