Length-compatible extended polar codes
Abstract:
A method for increasing coding reliability includes generating a generator matrix for an extended polar code including a standard polar code part and an additional frozen part. The standard polar code part has N bit-channels, including K information bit-channels and N−K frozen bit-channels. The additional frozen part has q additional frozen bit-channels. Among the K information bit-channels, q information bit-channels are re-polarized using the q additional frozen bit-channels. The method further includes receiving an input vector including K information bits and N+q−K frozen bits, and transforming, using the generator matrix, the input vector to an output vector including N+q encoded bits. The K information bits are allocated to the K information bit-channels, and the N+q−K frozen bits are allocated to the N−K frozen bit-channels and the q additional frozen bit-channels.
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