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- W2187686927 abstract "In this paper, we present three algebraic methods for constructing structured nonbinary LDPC codes over finite fields, among which the first method is used to construct quasi-cyclic codes with girth at least 6 based on the automorphisms of finite fields, the second method gives a class of (4, p) quasi-cyclic codes with girth at least 8, the third method gives a class of codes with cycles limited. Simulation results show that the constructed codes perform very well over AWGN channel, and they have better performances or far lower computational complexities than the corresponding random Mackay codes or codes algebraically constructed by Lin. Keywords-nonbinaryLDPCcodes; finite fields; automorphism; Cycles-LimitedLDPCcodes" @default.
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- W2187686927 date "2008-01-01" @default.
- W2187686927 modified "2023-09-24" @default.
- W2187686927 title "Three Algebraic Methodsfor ConstructingNonbinary LDPCCodes basedon Finite Fields" @default.
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