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Chapter 12: Cyclic and Quasi-cyclic LDPC Codes on Finite Geometries

Chapter 12: Cyclic and Quasi-cyclic LDPC Codes on Finite Geometries

pp. 464-517

Authors

, University of California, Davis, , Micron Technology, San Jose
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Summary

showed that cyclic codes can be constructed based on the lines of two classes of finite geometries, namely, Euclidean and projective geometries. It was shown that these cyclic finite-geometry (FG) codes can be decoded with the simple one-step majority-logic decoding (OSMLD) based on the orthogonal structure of their parity-check matrices.

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