We consider the problem of constructing (3,L) quasi-cyclic low-density parity-check (LDPC) codes from complete protographs. A complete protograph is a small bipartite graph with two disjoint vertex sets such that every vertex in the variable-node set is connected to every vertex in the check-node set by a unique edge. This paper analyzes the required lifting factor for achieving girths of six or eight in the resulting quasi-cyclic codes with constraints on lifting. The required lifting factors provide lower bounds on the block-length of such codes.
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School of Mathematics and Statistics, Carleton University, Ottawa, CanadaSchool of Mathematics and Statistics, Carleton University, Ottawa, Canada
Panario, Daniel
Sadeghi, Mohammad-Reza
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School of Mathematics and Statistics, Carleton University, Ottawa, Canada
Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranSchool of Mathematics and Statistics, Carleton University, Ottawa, Canada
机构:
Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Peoples R China
Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Peoples R China
Xu, Hengzhou
Bai, Baoming
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Peoples R China
Bai, Baoming
Feng, Dan
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Peoples R China
Feng, Dan
Sun, Cheng
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Peoples R China
机构:
Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Xu, Hengzhou
Li, Huaan
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Li, Huaan
Feng, Dan
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Feng, Dan
Zhang, Bo
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机构:
Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Zhang, Bo
Zhu, Hai
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Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
机构:
Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Xu, Hengzhou
Li, Huaan
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Li, Huaan
Bai, Baoming
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Bai, Baoming
Zhu, Min
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Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shaanxi, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China
Zhu, Min
Zhang, Bo
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机构:
Zhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R ChinaZhoukou Normal Univ, Sch Network Engn, Zhoukou 466001, Henan, Peoples R China