| 围长为12的QC-LDPC码连续码长的紧致下界 |
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| 引用本文： | 张国华,王新梅.围长为12的QC-LDPC码连续码长的紧致下界[J].科学通报,2011,56(19):1578-1582. |
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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;中国空间技术研究院西安分院; |
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| 基金项目： | 国家重点基础研究发展计划(2010CB328300); 国家自然科学基金(61001130,61001131); 高等学校学科创新引智计划(B08038)资助 |
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| 摘 要： | 对于围长为12 的任意(3,L)QC-LDPC 码, 提出了连续码长的紧致下界. 当码长大于下界时围长必然为 12, 当码长等于下界时围长必然小于 12. 本文研究结论对于大围长QC-LDPC 码的存在性研究、基于中国剩余定理的大围长QC-LDPC 码构造、具有纠错能力保证的LDPC 码构造等问题具有重要应用价值.
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| 关 键 词： | 低密度奇偶校验码 准循环 围长 连续 |
| 收稿时间： | 2010-09-07 |
Tight lower bound of consecutive lengths for QC-LDPC codes with girth twelve |
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| ZHANG GuoHua,WANG XinMei.Tight lower bound of consecutive lengths for QC-LDPC codes with girth twelve[J].Chinese Science Bulletin,2011,56(19):1578-1582. |
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| Authors: | ZHANG GuoHua WANG XinMei |
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| Institution: | 1. State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an 710071, China;
2. China Academy of Space Technology (Xi'an), Xi'an 710100, China |
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| Abstract: | For an arbitrary (3,L) QC-LDPC code with a girth of twelve, a tight lower bound of the consecutive lengths is proposed. For an arbitrary length above the bound the resultant code necessarily has a girth of twelve, and for the length meeting the bound, the corresponding code inevitably has a girth smaller than twelve. The conclusion can play an important role in the proofs of the existence of large-girth QC-LDPC codes, the construction of large-girth QC-LDPC codes based on the Chinese remainder theorem, and ... |
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| Keywords: | low-density parity-check code quasi-cyclic girth consecutive |
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