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An improved Euclidean geometry approach to design quasi-cyclic(QC) Low-density parity-check(LDPC) codes with high-rate and low error floor is presented.The constructed QC-LDPC codes with high-rate have lower error floor than the original codes.The distribution of the minimum weight codeword is analyzed,and a sufficient existence condition of the minimum weight codeword is found.Simulations show that a lot of QC-LDPC codes with lower error floor can be designed by reducing the number of the minimum weight codewords satisfying this sufficient condition.
An improved Euclidean geometry approach to design quasi-cyclic (QC) Low-density parity-check (LDPC) codes with high-rate and low error floor is presented. The constructed QC-LDPC codes with high-rate have lower error floor than the original codes. The distribution of the minimum weight codeword is analyzed, and a sufficient existence condition of the minimum weight codeword is found. Simulations show that a lot of QC-LDPC codes with lower error floor can be designed by reducing the number of the minimum weight codewords satisfies this sufficient condition