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In this work, we extend the partial interference cancellation (PIC) group decoding algorithm  to the distributed Quasi-Orthogonal space time block code (STBC) with non-binary low density parity check code (LDPC) in Amplify-and-Forward (AF) relay networks. A Gaussian based detection is proposed to reduce the decoding complexity in this paper. The complexity involved grows linearly with the number of relay nodes and size of Galois Field. The simulation result shows that the Gaussian based detection is reasonable to employ in this system.