Construction of Flexible Type II and III QC-LDPC Codes
Gabofetswe Malema,
Nkwebi Motlogelwa
Issue:
Volume 3, Issue 5, October 2014
Pages:
31-34
Received:
16 November 2014
Accepted:
21 November 2014
Published:
28 November 2014
Abstract: Type II and III low-density parity-check codes (QC-LDPC) codes have been shown to have better minimum distance compared to Type I QC-LDPC codes. This article presents a highly flexible method for constructing high-girth type II and III QC-LDPC codes. The proposed algorithm establishes constraints to be observed in creating a bipartite graph of a given girth. The algorithm is by far more flexible in constructing a wide range (rates and lengths) of type II and III QC-LDPC codes compared to existing methods. Although the proposed algorithm uses a search approach to construct codes, it generally successfully constructs a code even at low code lengths. Constructed codes show better bit error rate performances compared to type I codes as expected.
Abstract: Type II and III low-density parity-check codes (QC-LDPC) codes have been shown to have better minimum distance compared to Type I QC-LDPC codes. This article presents a highly flexible method for constructing high-girth type II and III QC-LDPC codes. The proposed algorithm establishes constraints to be observed in creating a bipartite graph of a gi...
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