为一任意(3, L ) 伪周期(质量管理) 有尺寸的低密度的同等值检查(LDPC ) 代码至少十,连续长度的紧密的更低的界限被介绍。为在界限上面的任意的长度,相应 LDPC 代码必然有一种尺寸至少十,并且为到界限的长度平等者,结果的代码不可避免地有比十小的一种尺寸。这个新结论能很好被用于一些重要问题,例如大尺寸 QC-LDPC 代码的存在的证明,大尺寸 QC-LDPC 的构造基于中国剩余物定理编码,以及 LDPC 的构造与保证错误修正能力编码。
For an arbitrary (3,L) quasi-cyclic(QC) low-density parity-check (LDPC) code with girth at least ten, a tight lower bound of the consecutive lengths is presented. For an arbitrary length above the bound the corresponding LDPC code necessarily has a girth at least ten, and for the length equal to the bound, the resultant code inevitably has a girth smaller than ten. This new conclusion can be well applied to some important issues, such as 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, as well as the construction of LDPC codes with the guaranteed error correction capability.