In this paper, a general transformation of binary linear block codes (BLBCs) to (possibly, multi-kernel) polar codes with dynamic frozen bits is proposed. Through a simple matrix permutation operation, a one-to-one connection between the codewords of a BLBC and its transformed polar code can be established. This transformation allows the usage of any decoding algorithm of polar codes for efficient soft decoding of BLBCs, including the powerful successive cancellation list (SCL) decoding algorithm. Simulations show that the soft SCL polar decoding of BLBCs can achieve a comparative performance to the order statistic decoding (OSD), as well as the maximum-likelihood decoding (MLD) in certain cases, with a much lower computational complexity.

中文翻译：

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从动态冻结将二进制线性块代码转换为极性代码

本文提出了将二进制线性块码（BLBC）转换为具有动态冻结位的（可能是多内核）极性码的一般方法。通过简单的矩阵置换操作，可以建立BLBC的码字与其转换后的极码之间的一对一连接。这种转换允许使用任何用于BLBC高效软解码的极性码解码算法，包括强大的连续消除列表（SCL）解码算法。仿真表明，BLBC的软SCL极性解码可以与阶数统计解码（OSD）以及某些情况下的最大似然解码（MLD）相比，从而具有较低的计算复杂度。