Opportunistic relaying coded cooperation is already an efficient and widely investigated cooperative scheme in multi-relay networks. However, the previous works still have deficiencies, such as high system complexity and low resource utilization. In this paper, a novel opportunistic relaying coded cooperation is proposed to achieve an acceptable tradeoff between resource utilization and system complexity, where the source transmits the parity to the destination adaptively without extra overheads. The analytical expressions of the outage probability and the upper bound of bit error probability over Nakagami fading channels are derived. Simulation results reveal that the proposed scheme, compared with the existing opportunistic relaying coded cooperation schemes, achieves better performance and makes an improvement on both system complexity and resource utilization.