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| A Quasi-cyclic LDPC Codes Construction Scheme Based on Pseudo-cyclic MDS Codes |
| Zhang Jian-wu① Yan Huan① Bao Jian-rong①② |
①(School of Telecommunication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China)
②(Zhejiang Provincial Key Laborary of Information Network Technology, Hangzhou 310027, China) |
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Abstract This paper proposes a construction scheme of girth-6 quasi-cyclic Low-Density Check-Parity (LDPC) codes based on pseudo-cyclic Maximum Distance Separable (MDS) codes with two information symbols. The parity-check matrix of an quasi-cyclic LDPC code in GF(q) can be constructed by calculating the generator polynomials of pseudo-cyclic MDS code with length q+1 directly. It utilizes mainly the special characteristic of the circularity of pseudo-cyclic MDS codes with two information symbols. Also the distance between arbitrary two codes is not less than q. Therefore, it guarantees no cycles-4 in the construction of the quasi-cyclic LDPC codes. Simulation results show that the quasi-cyclic LDPC codes based on pseudo-cyclic MDS codes perform well in an AGWN channel.
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Received: 29 July 2011
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Corresponding Authors:
Bao Jian-rong
E-mail: ibaojr@zju.edu.cn
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2012, Vol. 34 
