Abstract
This paper presents algebraic methods for constructing efficiently encodable and high performance nonbinary quasi-cyclic LDPC codes based on hyperplanes of Euclidean geometries and masking. Codes constructed from these methods perform very well over the AWGN channel. With iterative decoding using a Fast Fourier Transform based sum-product algorithm, they achieve significantly large coding gains over Reed-Solomon codes of the same lengths and rates decoded with either the algebraic hard-decision Berlekamp-Massey algorithm or the algebraic soft-decision Kotter-Vardy algorithm. Due to their quasi-cyclic structure, these nonbinary LDPC codes on Euclidean geometries can be encoded with simple shift-registers with linear complexity. Structured nonbinary LDPC codes have a great potential to replace Reed-Solomon codes for some applications in either communication systems or storage systems for combating mixed types of noise and interferences.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
