Girth-Eight Reed-Solomon Based QC-LDPC Codes

Xin Xiao; Bane Vasić; Shu Lin; Khaled Abdel-Ghaffar; William E. Ryan

doi:10.1109/ISTC.2018.8625328

Girth-Eight Reed-Solomon Based QC-LDPC Codes

Xin Xiao
, Bane Vasić
, Shu Lin
, Khaled Abdel-Ghaffar
, William E. Ryan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

This paper presents a class of regular quasi-cyclic (QC) LDPC codes whose Tanner graphs have girth at least eight. These codes are constructed based on the conventional parity-check matrices of Reed-Solomon (RS) codes with minimum distance 5. Masking their parity-check matrices significantly reduces the numbers of short cycles in their Tanner graphs and results in codes which perform well over the AWGN channel in both waterfall and low error-rate regions.

Original language	English (US)
Title of host publication	2018 IEEE 10th International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018
Publisher	IEEE Computer Society
ISBN (Electronic)	9781538670484
DOIs	https://doi.org/10.1109/ISTC.2018.8625328
State	Published - Jul 2 2018
Event	10th IEEE International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018 - Hong Kong, China Duration: Dec 3 2018 → Dec 7 2018

Publication series

Name	International Symposium on Turbo Codes and Iterative Information Processing, ISTC
Volume	2018-December
ISSN (Print)	2165-4700
ISSN (Electronic)	2165-4719

Conference

Conference	10th IEEE International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018
Country/Territory	China
City	Hong Kong
Period	12/3/18 → 12/7/18

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Computational Theory and Mathematics

Access to Document

10.1109/ISTC.2018.8625328

Cite this

Xiao, X., Vasić, B., Lin, S., Abdel-Ghaffar, K., & Ryan, W. E. (2018). Girth-Eight Reed-Solomon Based QC-LDPC Codes. In 2018 IEEE 10th International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018 Article 8625328 (International Symposium on Turbo Codes and Iterative Information Processing, ISTC; Vol. 2018-December). IEEE Computer Society. https://doi.org/10.1109/ISTC.2018.8625328

Girth-Eight Reed-Solomon Based QC-LDPC Codes. / Xiao, Xin; Vasić, Bane; Lin, Shu et al.
2018 IEEE 10th International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018. IEEE Computer Society, 2018. 8625328 (International Symposium on Turbo Codes and Iterative Information Processing, ISTC; Vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Xiao, X, Vasić, B, Lin, S, Abdel-Ghaffar, K & Ryan, WE 2018, Girth-Eight Reed-Solomon Based QC-LDPC Codes. in 2018 IEEE 10th International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018., 8625328, International Symposium on Turbo Codes and Iterative Information Processing, ISTC, vol. 2018-December, IEEE Computer Society, 10th IEEE International Symposium on Turbo Codes and Iterative Information Processing, ISTC 2018, Hong Kong, China, 12/3/18. https://doi.org/10.1109/ISTC.2018.8625328

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AB - This paper presents a class of regular quasi-cyclic (QC) LDPC codes whose Tanner graphs have girth at least eight. These codes are constructed based on the conventional parity-check matrices of Reed-Solomon (RS) codes with minimum distance 5. Masking their parity-check matrices significantly reduces the numbers of short cycles in their Tanner graphs and results in codes which perform well over the AWGN channel in both waterfall and low error-rate regions.

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Girth-Eight Reed-Solomon Based QC-LDPC Codes

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