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Channel Coding: Theory, Algorithms, and Applications by Marc Fossorier, David Declercq, Ezio Biglieri

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Image

Since there are k=k1++kMimage message bits, the rate of the overall multilevel code is given as R=k/n=i=1Mki/nimage. The minimum distance of the overall multilevel code is derived as

dmin,C=mini{1,,M}diδi2. (12)

image (12)

As an example, consider a multilevel code of block length n=8: the first level component code is the repetition code with k1=8,d1

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