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- W2807007057 abstract "Multiple-edge protographs have some advantages over single-edge protographs, such as potentially having larger minimum Hamming distance. However, most of results in the literature are related to the construction of single-edge quasi-cyclic low-density parity-check codes (QC-LDPC) codes and little research has been done for the construction of multiple-edge QC-LDPC codes. In this letter, for the first time, necessary and sufficient conditions for the exponent matrices to have multiple-edge QC-LDPC codes with girth 6 are provided. As a consequence of this letter, a lower bound on the lifting degree of regular and irregular multiple-edge QC-LDPC codes with girth 6 is derived. We also present QC-LDPC codes whose lifting degrees meet our proposed lower bound. These codes have shorter lengths compared with single-edge QC-LDPC codes. Another contribution of this letter is presenting a technique to reduce the size of the search space to find these codes." @default.
- W2807007057 created "2018-06-13" @default.
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- W2807007057 date "2018-08-01" @default.
- W2807007057 modified "2023-09-26" @default.
- W2807007057 title "Analytical Lower Bound on the Lifting Degree of Multiple-Edge QC-LDPC Codes With Girth 6" @default.
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- W2807007057 doi "https://doi.org/10.1109/lcomm.2018.2841873" @default.
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