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2004•Journal of China Institute of CommunicationsRequires access

Construction of low-density parity-check codes using cyclic difference sets

Ming Jiang

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Abstract

A new method to construct LDPC codes based on cyclic difference sets of combinatorics was proposed. A large number of regular LDPC codes could be generated, with the same column weight and the same row weight. And this method could eliminate the cycles with length equal to four and decrease the ones with length equal to six. Sum-product decoding algorithm was used to decode the new constructed LDPC codes and simulation results showed that they exhibit good performance.

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What this paper is about

A new method to construct LDPC codes based on cyclic difference sets of combinatorics was proposed. A large number of regular LDPC codes could be generated, with the same column weight and the same row weight. And this method could eliminate the cycles with length equal to four and decrease the ones with length equal to six. Sum-product decoding algorithm was used to decode the new constructed LDPC codes and simulation results showed that they exhibit good performance.

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Available abstract

A new method to construct LDPC codes based on cyclic difference sets of combinatorics was proposed. A large number of regular LDPC codes could be generated, with the same column weight and the same row weight. And this method could eliminate the cycles with length equal to four and decrease the ones with length equal to six. Sum-product decoding algorithm was used to decode the new constructed LDPC codes and simulation results showed that they exhibit good performance.

Key concepts: Low-density parity-check code, Mathematics, Decoding methods, Construct (python library), Discrete mathematics, Combinatorics, Algorithm, Computer science

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