Generalization of Floor Lifting for QC-LDPC Codes: Theoretical Properties and Applications
Ilya Vorobyev, Nikita Polyanskii, German Svistunov, Sergey I. Egorov, Vasiliy S. Usatyuk · 2018
The given paper presents several probabilistic statements for the methods related to constructing a QC-LDPC code of shorter length by length adaption from a given QC-LDPC code of maximal length. Several probabilistic statements concerning a theoretical improvement of the generalization of floor lifting method with respect to the number of small cycles are proved. Simulation results show that the generalization of floor lifting method under base graph 2 (BG2) allow to achieves from 0.1 to 0.3 dB coding gain.