Institute for Theoretical Information Technology

Type-II Quasi-Cyclic LDPC Codes with Girth Eight from Sidon Sequence

Authors

G. Zhang, Y. Hu, Q. He, J. Wang,

Abstract

        In this work, we consider type-II quasi-cyclic LDPC codes with girth eight from Sidon sequence. We ?rst derive the necessary and suf?cient conditions guaranteeing girth-eight type-II QC-LDPC codes. By combining these conditions and the concept of Sidon sequence, two classes of type-II codes are subsequently proposed with girth up to eight. We discuss the distance upper bounds of the two classes of codes and show that the second class provides a larger distance upper bound. In particular, to the best of our knowledge, the second class we proposed yields the ?rst algebraic construction for girtheight type-II codes with rates larger than a half and distance upper bounds exceeding twelve. Via simulations, we show that the girth-eight type-II codes from the second class signi?cantly outperform the existing CDF-based girth-eight type-II codes, and that they perform better than or equally well as the randomly generated girth-eight quadr. congr. codes.

BibT_EX Reference Entry 

@inproceedings{ZhHuHeWa18,
	author = {Guohua Zhang and Yulin Hu and Qinwei He and Juhua Wang},
	title = "Type-II Quasi-Cyclic {LDPC} Codes with Girth Eight from Sidon Sequence",
	pages = "1-5",
	booktitle = "{IEEE} Information Theory Workshop (ITW) 2018",
	address = {Guangzhou, China},
	month = Nov,
	year = 2018,
	hsb = RWTH-2018-231181,
	}

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