基于欧氏几何的多进制LDPC码的设计

Non-Binary LDPC Codes Design Based on Euclidean Geometries

提出了一种构造多进制低密度奇偶校验（LDPC）码的欧氏几何方法,这种码具有至少为6的围长,并且具有很好的迭代解码性能,能用简单移位寄存器和线性复杂度来解码,也可以用半并行方法来解码。仿真结果表明这种码比二进制LDPC码有更好的性能。

This paper presents a Euclidean geometric approach to the construction of Non-Binary low-density parity-check（LDPC） codes.Codes of this class have girth at least 6.They perform very well with iterative decoding.Furthermore,these codes can be decoded with simple shift registers,with linear complexity and decoded in the semi-parallel way.The simulation results show that their performance is much better than the binary LDPC codes.