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In this paper, we present two algebraic methods for constructing Quasi-Cyclic LDPC codes. The first method is based on the quadratic residues modulo p (where p is a prime), the second method is based on the multiplicative inverses in finite fields. The codes constructed based on these methods are efficiently encodable and have a girth at least 6. Simulation results show that with SPA decoding, the...
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,rho) quasi-cyclic codes with girth at least 8, the third method gives a class of codes with cycles limited...
In this paper, we present three algebraic methods for constructing structured nonbinary LDPC codes over finite fields, among which the first method is based on the multiplicative inverses of nonzero elements in finite fields and gives a class of quasi-cyclic codes with girth 6, the second method gives a class of (3, rho) quasi-cyclic codes with girth 8, the third method gives a class of structured...
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