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

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

2010-01-15

arxiv.org/abs/1001.2662v3

Computer Science

Information Theory

5 pages, a final version of a manuscript for ISIT2010

Scientific paper

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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