A Construction of Nonbinary Polar codes with 4 by 4 kernels In this paper, we propose a specific type of nonbinary 4 by 4 kernel for nonbinary polar codes. The nonbinary polar codes generated by such type of kernel have same encoding and successive cancellation decoding complexities as the nonbinary polar codes generated by the leftbeginarrayccc 1 u0026 0  eta u0026 1 endarray right type of nonbinary 2 by 2 kernel with same code length. At certain code parameters, we investigate the FER for the polar codes with all the leftbeginarrayccc 1 u0026 0  eta u0026 1 endarray right type of nonbinary 2 by 2 kernels. And then, we experimentally confirm the existence of several nonbinary 4 by 4 kernels of the proposed type which generate nonbinary polar codes with better FER performance than nonbinary polar codes generated by any leftbeginarrayccc 1 u0026 0  eta u0026 1 endarray right type of nonbinary 2 by 2 kernel.

SCFlip Decoding of Polar Codes with High Order Error Correction Based on Error Dependency The successive cancellation flip (SCFlip) decoding algorithm arose as a valid lowcomplexity decoding algorithm for polar codes, however its decoding capabilities are still far away from list based decoders. In this paper, we propose an improved SCFlip multiple error decoding framework based on error dependency, and specialize it for the twoerror correction case. We propose to generate different lists of second error locations based on the index of the expected first errors. The inherent flexibility of this approach allows it to be modified for a desired tradeoff between performance and complexity. Two second errors list construction approaches are presented, and are shown to yield gains over the original SCFlip decoder at the same decoding complexity.