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Construction of Low-density Parity-check Codes Based on Cyclic Difference Sets

Guo Zhi-rong

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Abstract

This paper proposes a method to construct Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on Cyclic Difference Sets(CDS) of combinatory. The constructed regular QC-LDPC codes are free of 4-cycles and with low complexity shift register encoding. Simulations results show that the constructed LDPC codes perform well under sum-product decoding algorithm.

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What this paper is about

This paper proposes a method to construct Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on Cyclic Difference Sets(CDS) of combinatory. The constructed regular QC-LDPC codes are free of 4-cycles and with low complexity shift register encoding. Simulations results show that the constructed LDPC codes perform well under sum-product decoding algorithm.

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Available abstract

This paper proposes a method to construct Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on Cyclic Difference Sets(CDS) of combinatory. The constructed regular QC-LDPC codes are free of 4-cycles and with low complexity shift register encoding. Simulations results show that the constructed LDPC codes perform well under sum-product decoding algorithm.

Key concepts: Low-density parity-check code, Computer science, Decoding methods, Construct (python library), Algorithm, Raptor code, Theoretical computer science, Error floor

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