| Paper ID | D1-S6-T2.1 |
| Paper Title |
Quasi-Cyclic Protograph-Based Raptor-Like LDPC Codes With Girth 6 and Shortest Length |
| Authors |
Farzane Amirzade, Mohammad-Reza Sadeghi, Amirkabir University of Technology, Iran; Daniel Panario, Carleton University, Canada |
| Session |
D1-S6-T2: Quasi-Cyclic LDPC Codes |
| Chaired Session: |
Monday, 12 July, 23:40 - 00:00 |
| Engagement Session: |
Tuesday, 13 July, 00:00 - 00:20 |
| Abstract |
We consider multiple-edge QC-LDPC codes with a base matrix of large size. We propose a new method, $\emph{the degree reduction method}$, to obtain exponent matrices of these codes which considerably reduces the complexity of the search algorithm. We also provide a necessary and sufficient condition to avoid 4-cycles from occurrence in the Tanner graph of codes obtained using our method. Then, we apply our method to quasi-cyclic protograph-based Raptor-Like LDPC (QC-PBRL-LDPC) codes whose base matrices are multiple-edge. Numerical results show that as a consequence of this study we can obtain the minimum lifting degree of QC-PBRL-LDPC codes with girth at least 6. Thus, the lengths of the obtained codes are much smaller than those of their counterpart short-length codes in the literature.
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