Determination of the shortest balanced cycles in QC-LDPC codes Matrix

Xiao Rong Gao, Nan Zhang · 2011

In this paper, we determinate the shortest balanced cycles of quasi-cyclic low-density parity-check (QC-LDPC) codes. We show the structure of balanced cycles and their necessary and sufficient existence conditions. Furthermore, we determine the shortest matrices of balanced cycle. Finally all nonequivalent minimal matrices of the shortest balanced cycles are presented in this paper.

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