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arXiv 2010-01-15 0 views

Channel Polarization on q-ary Discrete Memoryless Channels by Arbitrary Kernels

Mori, Ryuhei · Tanaka, Toshiyuki

Original · EN

A method of channel polarization, proposed by Arikan, allows us to construct efficient capacity-achieving channel codes. In the original work, binary input discrete memoryless channels are considered. A special case of q-ary channel polarization is considered by Sasoglu, Telatar, and Arikan. In this paper, we consider more general channel polarization on q-ary channels. We further show explicit constructions using Reed-Solomon codes, on which asymptotically fast channel polarization is induced.

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