Abstract
For cycles of length 8 in a Tanner graph, we propose an identification procedure based on the analysis of paths in a protograph. We formulate and prove a number of theorems that introduce identification rules for cycles and restrict the number of subgraphs to be analyzed. To distinguish between them, we propose a number of parameters that uniquely determine the group of analyzed paths in the protograph.
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Acknowledgements
The authors are especially grateful to A.N. Voropaev for his assistance in proving Theorem 2 and to a reviewer for careful reading of the manuscript and valuable remarks, which helped them to improve the final presentation.
Funding
The research was carried out at the expense of the Russian Science Foundation, project no. 17-79-20302.
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Russian Text © The Author(s), 2020, published in Problemy Peredachi Informatsii, 2020, Vol. 56, No. 2, pp. 82–94.
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Kharin, A.V., Zavertkin, K.N. & Ovinnikov, A.A. Detecting Cycles of Length 8 in the Tanner Graph of a QC-LDPC Code Based on Protograph Analysis. Probl Inf Transm 56, 173–184 (2020). https://doi.org/10.1134/S0032946020020039
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DOI: https://doi.org/10.1134/S0032946020020039