Explicit Constructions for Type-1 QC-LDPC Codes with Girth

Authors

G. Zhang, R. Mathar,

Abstract

        Given any JJ (J > 3) square matrix over ZP such that the differences of any two row vectors contain each element in ZP at most once, a class of (3;L)-regular quasi-cyclic (QC) low-density parity-check (LDPC) codes is explicitly constructed with lengths PJL2 and girth twelve, where L is any integer satisfying 3 < L J. Simulation results show that the new codes perform very well for moderate rates and lengths.

BibTEX Reference Entry 

@article{ZhMa16,
	author = {Guohua Zhang and Rudolf Mathar},
	title = "Explicit Constructions for Type-1  QC-LDPC Codes with Girth",
	pages = "460-463",
	journal = "{IEEE} Communications Letters",
	volume = "21",
	number = "3",
	doi =  10.1109/LCOMM.2016.2634022,
	month = Dec,
	year = 2016,
	hsb = RWTH-2017-02431,
	}

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