NDLI: Low density parity check codes: construction based on finite geometries

Content Provider	IEEE Xplore Digital Library
Author	Kou, Y. Lin, S. Fossorier, M.P.C.
Copyright Year	2000
Description	Author affiliation: Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA (Kou, Y.)
Abstract	Low density parity check (LDPC) codes with iterative decoding based on belief propagation (IDBP) achieve astonishing error performance close to the Shannon limit. Until now there has been no known method for constructing these Shannon limit approaching codes systematically. Good LDPC codes are largely generated by computer search. As a result, the encoding of long LDPC codes is in general very complex. This paper presents the first algebraic method for constructing LDPC codes systematically based on finite analytic geometries. Four classes of finite geometry LDPC codes with relatively good minimum distances are constructed. These codes are either cyclic or quasi-cyclic and therefore their encoding can be implemented with simple linear feedback shift registers. Long finite geometry LDPC codes have been constructed and they achieve an error performance only a few tenths of a dB away from the Shannon limit. Finite geometry LDPC codes are strong competitors to turbo codes for error control in communication and digital data storage systems.
Starting Page	825
Ending Page	829
File Size	574285
Page Count	5
File Format	PDF
ISBN	0780364511
DOI	10.1109/GLOCOM.2000.891254
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-11-27
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Parity check codes Sparse matrices Computer errors Feedback Null space Computational geometry Iterative decoding Belief propagation Turbo codes Error correction
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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