Construction and Decoding Algorithms for for Polar Codes based on $2\times2$ Non-Binary Kernels

Peihong Yuan; Fabian Steiner

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arXiv · 1807.03767

Construction and Decoding Algorithms for for Polar Codes based on $2\times2$ Non-Binary Kernels

Peihong Yuan·Fabian Steiner

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Abstract

Polar codes based on $2\times2$ non-binary kernels are discussed in this work. The kernel over $\text{GF}(q)$ is selected by maximizing the polarization effect and using Monte-Carlo simulation. Belief propagation (BP) and successive cancellation (SC) based decoding algorithms are extended to non-binary codes. Additionally, a successive cancellation list (SCL) decoding with a pruned tree is proposed. Simulation results show that the proposed decoder performs very close to a conventional SCL decoder with significantly lower complexity.

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Peihong Yuan, Fabian Steiner. 2018-07-10. Construction and Decoding Algorithms for for Polar Codes based on $2\times2$ Non-Binary Kernels. https://arxiv.org/abs/1807.03767

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