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This paper investigates the construction and iterative threshold decoding of low rate Quasi-Cyclic One Step Majority logic codes based on combinatorial designs. These codes are constructed with two type of difference family: cyclic disjoint difference sets and cyclic disjoint difference family. They can be encoded with low complexity, and perform very well when decoded with the Iterative threshold...
This paper presents a new class of Quasi-Cyclic One Step Majority logic codes of 1/2 rate constructed from perfect difference set. Theses codes can be encoded with low complexity, and perform very well when decoded with the Iterative threshold decoding algorithm. Much of these codes is a subfamily of the LDPC codes and can be decoded using belief propagation algorithm. A comparison between our results...
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