Concatenating the state-of-the-art codes at moderate rates with repetition codes has emerged as a practical solution deployed in various standards for ultra-low-power devices such as in Internet-of-Things (IoT) networks. In this paper, we propose a novel concatenation mechanism for such applications which need to operate at very low signal-to-noise ratio (SNR) regime. In the proposed scheme, the outer code is a hybrid polar code constructed in two stages, one with a binary kernel and another also with a binary kernel but applied over a binary extension field. The inner code is a non-binary multiplicative repetition code. This particular structure inherits low-complexity decoding structures of polar codes while enabling concatenation with an inner non-binary multiplicative repetition scheme. The decoding for the proposed scheme is done using cyclic redundancy check (CRC) aided successive cancellation list (SCL) decoder over additive white Gaussian noise (AWGN) and Rayleigh fading channels. Simulation results demonstrate that the proposed hybrid non-binary repeated polar code provides performance gain compared to a polar-repetition scheme with comparable decoding complexity.

中文翻译：

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混合非二进制重复极性码

以中等速率将最先进的代码与重复代码连接起来已成为一种实用的解决方案，部署在诸如物联网 (IoT) 网络等超低功耗设备的各种标准中。在本文中，我们为需要在非常低的信噪比 (SNR) 条件下运行的此类应用程序提出了一种新的连接机制。在所提出的方案中，外码是分两个阶段构造的混合极性码，一个具有二进制内核，另一个也具有二进制内核，但应用于二进制扩展域。内码是非二进制乘法重复码。这种特殊结构继承了极性码的低复杂度解码结构，同时能够与内部非二进制乘法重复方案进行连接。所提出方案的解码是使用循环冗余校验 (CRC) 辅助连续消除列表 (SCL) 解码器在加性高斯白噪声 (AWGN) 和瑞利衰落信道上完成的。仿真结果表明，与具有相当解码复杂度的极性重复方案相比，所提出的混合非二进制重复极性码提供了性能增益。