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A single random phase encoding is introduced into ptychography for the first time. Since the diffractive wave front is encoded with the random phase modulator, the information of the sample cooperated with each probe can be uniformly distributed onto an entire diffraction pattern. It leads to the much faster convergent speed of the iterative algorithm for ptychographical imaging. It is more important for practice that the robustness to resist the noises and especially the transverse shift errors of probes are considerably improved compared with the conventional ptychographic algorithm.