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IEICE TRANSACTIONS on Communications

The Necessary and Sufficient Condition of a Class of Quasi-Cyclic LDPC Codes without Girth Four

Ying ZHAO, Yang XIAO

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Summary :

This letter presents a necessary and sufficient condition for a class of quasi-cyclic low-density parity-check (QC LDPC) codes without girth four. Girth-four property of a class of QC LDPC codes is investigated. Good QC LDPC codes without girth four can be constructed by selecting proper shifting factors according to the proposed theorems. Examples are provided to verify the theorems. The simulation results show that the QC LDPC codes without girth four achieve a better BER performance compared with that of randomly constructed LDPC codes.

Publication
IEICE TRANSACTIONS on Communications Vol.E92-B No.1 pp.306-309
Publication Date
2009/01/01
Publicized
Online ISSN
1745-1345
DOI
10.1587/transcom.E92.B.306
Type of Manuscript
LETTER
Category
Fundamental Theories for Communications

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