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Title: Explicit constructions for type-1 QC-LDPC codes with girth at least ten
Authors: Wang, Juhua1 Email author wangjhcast@163.com; Zhang, Guohua1 Email author zhangghcast@163.com; Zhou, Quan1 Email author cn504zq@sohu.com; Yang, Yang2 Email author yy.xidian@gmail.com; Sun, Rong3 Email author rsun@mail.xidian.edu.cn
Author affiliation: 1 China Academy of Space Technology (xi'An), Xi'an, China
2 School of Information Engineering, Chang'An University, Xi'an, China
3 State Key Laboratory of Integrated Service Networks, Xidian University, Xi'an, China
Source title: 2014 IEEE Information Theory Workshop, ITW 2014
Abbreviated source title: IEEE Inf. Theory Workshop, ITW
Part number: 1 of 1
Issue date: December 1, 2014
Publication year: 2014
Pages: 436-440
Article number: 6970869
Language: English
ISBN-13: 9781479959990
Document type: Conference article (CA)
Conference name: 2014 IEEE Information Theory Workshop, ITW 2014
Conference date: November 2, 2014 - November 5, 2014
Conference location: Hobart, TAS, Australia
Conference code: 109551
Sponsor: IEEE Information Theory Society
Publisher: Institute of Electrical and Electronics Engineers Inc.
Abstract: From Sidon sequence over Z<inf>P</inf>, two classes of type-1 (J = 3;L) QC-LDPC codes are explicitly proposed with block length L<sup>2</sup>P and with girth at least ten. For the first method, any Sidon sequence over Z<inf>P</inf> (P odd) with cardinality no smaller than L (L odd) corresponds to a class of type-1 (3, L) QC-LDPC codes with girth at least ten. For the second one, any Sidon sequence over Z<inf>P</inf> (P prime) with cardinality no smaller than L (L arbitrary) corresponds to a class of type-1 (3, L) QC-LDPC codes with girth at least ten. Compared with the method from 3-D lattices, which can also generate type-1 QC-LDPC codes with girth at least ten, the main advantage of the new methods is that the construction process is much simpler, and L is not necessarily a prime integer. Simulation results show that the new type-1 QC-LDPC codes outperform the girth-8 QC-LDPC codes constructed by Sidon sequence or the earliest sequence, and perform almost as well as Bocharova's shortest girth-12 QC-LDPC codes. © 2014 IEEE.
Number of references: 16
Main heading: Codes (symbols)
Controlled terms: Convolutional codes - Information theory
Uncontrolled terms: Block lengths - Cardinalities - Construction process - Explicit constructions - QC LDPC codes
Classification code: 716.1 Information Theory and Signal Processing - 723.1 Computer Programming - 723.2 Data Processing and Image Processing
DOI: 10.1109/ITW.2014.6970869
Database: Compendex
Compilation and indexing terms, © 2016 Elsevier Inc.
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