Construction of Non-Binary LDPC Codes with Very Large Girth

A non-binary LDPC codes whose parity check matrix has uniform column weight 2 is constructed in this paper. The approach derives a non-binary LDPC codes from a column-weight 2 binary LDPC codes which is designed according to a all one (2, k) matrix, We proposed a search algorithm for constructing a...

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Hauptverfasser: Xiongfei Tao, Deyu Feng, Yan Zhang, Anguo Huang
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Deyu Feng
Yan Zhang
Anguo Huang
description A non-binary LDPC codes whose parity check matrix has uniform column weight 2 is constructed in this paper. The approach derives a non-binary LDPC codes from a column-weight 2 binary LDPC codes which is designed according to a all one (2, k) matrix, We proposed a search algorithm for constructing a (2, k) LDPC codes with desired girth, and in this paper, we use the search algorithm twice to obtain a code with larger girth. The simulation result shows that the proposed LDPC codes outperform the random codes.
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subjects Algorithm design and analysis
Bit error rate
Complexity theory
Galois fields
Parity check codes
Signal processing algorithms
Simulation
title Construction of Non-Binary LDPC Codes with Very Large Girth
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