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Low-density parity-check codes with variable node degree two over high order Galois fields, also called non-binary cycle codes, exhibit good error correction performance. In this paper, several efficient encoder structures are proposed for non-binary cycle codes with only one optimized group of non-zero entries in GF(q)(q > 2). The computation complexity and storage requirement are compared for...
Low-density parity-check (LDPC) codes of column weight two, also called cycle codes, can be constructed based on connected simple graphs. In this paper, efficiently encodable cycle codes and modified Repeat-Accumulate codes based on Hamiltonian graphs with large girths are devised. Specifically, the Hamiltonian property of the graphs is exploited to obtain efficient encoder structures and a concise...
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