Explicit constructions of Type-II QC LDPC codes with girth at least 6

Lally, K 2007, 'Explicit constructions of Type-II QC LDPC codes with girth at least 6', in J. Belfiore (ed.) Proceedings of the 2007 International Symposium on Information Theory, Nice, France, 24-29 June 2007, pp. 2371-2375.


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Collection: Conference Papers

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Title Explicit constructions of Type-II QC LDPC codes with girth at least 6
Author(s) Lally, K
Year 2007
Conference name ISIT International Symposium on Information Theory
Conference location Nice, France
Conference dates 24-29 June 2007
Proceedings title Proceedings of the 2007 International Symposium on Information Theory
Editor(s) J. Belfiore
Publisher IEEE
Place of publication Piscataway, USA
Start page 2371
End page 2375
Total pages 5
Abstract Type-II quasi-cyclic (QC) LDPC codes are constructed from combinations of weight-0, weight-1 and weight-2 circulant matrices. The structure of cycles of length 2n are investigated, and necessary and sufficient conditions for a type-II QC LDPC parity check matrix H to have girth at least 2(n+1) are given. An explicit construction of type-II codes which guarantees girth at least 6 is presented. A necessary and sufficient condition for a QC matrix with one or more rows of circulants, to be fullrank is derived.
Subjects Coding and Information Theory
Keyword(s) LDPC Codes
DOI - identifier 10.1109/ISIT.2007.4557574
Copyright notice © 2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
ISBN 978-1-4244-1397-3
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