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This work proposes a novel fault-tolerant classification system based on distributed detection and two-dimensional channel coding. A rule is then derived to reduce the search space such that the optimal code matrix can be found. Simulation results reveal that the proposed scheme has higher classification reliability and better capability of fault tolerance than previous methods. Moreover, a code matrix using repetition codes is presented. The proposed scheme with the repetition code has a lower memory requirement at each sensor and higher detection flexibility than that with the optimal code matrix while only having a slightly lower performance. Finally, an asymptotic performance analysis is provided for the proposed scheme.