| 一类围长至少为6的QC-LDPC码的存在性 |
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| 引用本文： | 张国华,王新梅. 一类围长至少为6的QC-LDPC码的存在性[J]. 西安电子科技大学学报(自然科学版), 2011, 38(3): 136-139,149. DOI: 10.3969/j.issn.1001-2400.2011.03.021 |
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| 作者姓名： | 张国华 王新梅 |
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| 作者单位： | 西安电子科技大学综合业务网理论及关键技术国家重点实验室; |
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| 基金项目： | 973资助项目(2010CB328300); 国家自然科学基金资助项目(U0635003,61001131); 111工程资助项目(B08038) |
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| 摘 要： | 对于列重为3和4,围长至少为6的QC-LDPC码,M.Hagiwara等学者最近研究了其循环置换矩阵(CPM)尺寸p的最小值,并提出了一个公开问题:当m大于等于50时,列重为4、行重为6m+3、p值为6m+3,且满足围长至少为6的QC-LDPC码是否存在?笔者基于矩阵复合的方法,证明了使这类QC-LDPC码存在的m有无穷多种.
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| 关 键 词： | LDPC码 准循环 围长 存在性 |
| 收稿时间： | 2010-05-10 |
On the existence of a class of QC-LDPC codes with girth at least six |
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| ZHANG Guohua,WANG Xinmei. On the existence of a class of QC-LDPC codes with girth at least six[J]. Journal of Xidian University, 2011, 38(3): 136-139,149. DOI: 10.3969/j.issn.1001-2400.2011.03.021 |
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| Authors: | ZHANG Guohua WANG Xinmei |
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| Affiliation: | (State Key Lab. of Integrated Service Networks, Xidian Univ., Xi'an 710071, China) |
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| Abstract: | For QC-LDPC codes with column weights of three and four,and girth of at least six,M.Hagiwara et al recently investigated the smallest value of the dimension p of the cyclic permutation matrix,and remarked that for m greater than or equal to 50,the existence of QC-LDPC codes with column weight of four,row weight of 6m+3,dimension of 6m+3 and girth of at least six,remains open.By the method of matrix combination,it is proved in this paper that there exist infinite values of m which enable such codes to exist. |
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| Keywords: | low-density parity-check(LDPC) codes quasi-cyclic(QC) girth existence |
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