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IEEE Information Theory Workshop (ITW)

Sequential decoding of polar codes with arbitrary binary kernel

Vera Miloslavskaya, Peter Trifonov

Published Nov 1, 2014• 23 citations
Publisher

Abstract

The problem of efficient soft-decision decoding of polar codes with any binary kernel is considered. The proposed approach represents a generalization of the sequential decoding algorithm introduced recently for the case of polar codes with Arikan kernel. Numeric results show that the proposed algorithm enables near-ML decoding of polar codes with BCH kernel.

DOI
10.1109/itw.2014.6970857

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The problem of efficient soft-decision decoding of polar codes with any binary kernel is considered. The proposed approach represents a generalization of the sequential decoding algorithm introduced recently for the case of polar codes with Arikan kernel. Numeric results show that the proposed algorithm enables near-ML decoding of polar codes with BCH kernel.
We propose a generalized construction for binary polar codes based on mixing multiple kernels of different sizes in order to construct polar codes of block lengths that are not only powers of integers. This results in a multi-kernel polar code with very good performance while the encoding complexity remains low and the decoding follows the same general structure as for the original Arikan polar codes. The construction provides numerous practical advantages as more code lengths can be achieved without puncturing or shortening. We observe numerically that the error-rate performance of our construction outperforms