Bit-wise shortening of nonbinary LDPC codes using their binary images

Lin Zhou, Baoming Bai, Ming Xu, Chao Chen · 2009

Most of work on rate-compatible low-density parity-check (RC-LDPC) codes focus on binary codes. In this paper, we propose a construction of nonbinary RC-LDPC codes at short block length by using a bit-wise shortening method based on the algebraic properties of their binary images. All shortened information bits are carefully chosen according to the degree distributions of their binary images. Simulations show that a gain of around 1 dB is attained at the shortened code rate R = 1/5 over conventional symbol-wise shortening.

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