基于阿贝尔群上的差分集构造LDPC码  

Construction of LDPC based on the different set on Abel group

作　　者：王秀丽[1] 邢媛媛 乔丹 黄贺楠 WANG Xiuli;XING Yuanyuan;QIAO Dan;HUANG Henan(College of Science,CAUC,Tianjin 300300,China;Industrial and Commercial Bank of China,Jincheng 048000,Shanxi,China;School of International Education,Changchun University of Technology,Changchun 130102,China)

机构地区：[1]中国民航大学理学院,天津300300 [2]中国工商银行股份有限公司晋城分行,山西晋城048000 [3]长春工业大学国际教育学院,长春130102

出　　处：《中国民航大学学报》2024年第3期92-96,共5页Journal of Civil Aviation University of China

基　　金：中央高校基本科研业务费专项(3122023040)。

摘　　要：本文给出了区组长度为3、4和5的平衡不完全区组设计,将设计的关联矩阵作为校验矩阵,从而构造出3种低密度奇偶校验码(LDPC,low-density parity-check code)。由于这些校验矩阵是准循环矩阵,所以构造的码是拟循环LDPC码(QC-LDPC,quasi-cyclic LDPC)。计算码的相关参数,并针对具体的例子通过与类随机码的译码性能进行分析比较,结果显示,所构造的码具有较好的性能。This paper gives the balanced incomplete block designs with the block sizes of 3,4 and 5,three kinds of LDPC(low-density parity-check code)are constructed using the designed incidence matrices as check matrices.Since these check matrices are quasi-cyclic matrices,the constructed code are QC-LDPC(quasi-cyclic LDPC).The relevant parameters of the codes are calculated and through the analysis and comparison of decoding performance with random-like codes based on specific examples,the results show that proposed codes in this paper have better performance.

关 键 词：LDPC 差分 平衡不完全区组设计 准循环码 

分 类 号：O157.4[理学—数学]