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中文摘要：
基于Galois域GF（q）乘群，提出了一种构造简单且编码容易实现的新颖准循环低密度奇偶校验（QC—LDPC）码构造方法，可灵活地调整码长、码率，且编译码复杂度低。用本文方法构造了适用于光通信系统的非规则QC—LDPC（3843，3603）码，仿真表明，与已广泛用于光通信系统中的经典RS（255，239）码相比，用本文方法构造的码具有更好的纠错性能，且其性能优于用SCG方法构造的LDPC码和规则的QC—LDPC（4221，3956）码，适合用于高速长距离光通信系统。
英文摘要：
A novel construction method with the advantages of simple construction and easy implementation encoding for quasi-cyclic low-density parity-check（QC-LDPC） codes based on Galois field （GF（q）） multiplicative group is proposed. This algorithm can flexibly adjust code length and code rate Furthermore, the complexity of the encoding and decoding is low. An irregular QC-LDPC（3843,3603） code suitable for optical communication Systems is constructed by applying the proposed construction method. The simulation results show that the error-correction performance of the QC-LDPC（3843,3603） code is better than that of the classic RS（255,239） code, the LDPC code constructed by the SCG construction method,and the regular QC-LDPC（4221,3956） code. So the QC-LDPC（3843,3603） code is suitable for the high-speed long-haul optical communication systems.
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