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Joint processing algorithm of detection and decoding for linear block coded multiple-input multiple- output (MIMO) system is investigated in this paper. Iterative detection and decoding (IDD) algorithm, which is considered as the optimal approach for convolutional coded MIMO system, yet is not processing efficient enough for linear block coded MIMO system under given computational complexity. In this case, although list-type detection and list- type decoding are separately used to generate a list of candidates (hard information), only the associated soft information is calculated and passed. Motivated by the joint ML principle and list-type process, we propose a much simpler and more efficient method, named list detection and decoding (LDD) algorithm. LDD exploits the common nature of list-type process in IDD to generate a list of candidates (hard information) for decoding- and-decision instead of iterative processing in IDD. We show that LDD can achieve near-optimal performance while enabling a performance-complexity tradeoff with different list size. Furthermore, the fixed complexity is suitable for hardware implementation. Simulation results show that LDD outperforms IDD while having a lower decoding complexity.