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Universal lossless algorithms of data compression always have very little effect on JPEG data. According to the characteristic of JPEG, a new shuffle algorithm is proposed to resize the JPEG and then use the universal lossless algorithms to compress the resized data. Experiment has been shown that the new algorithm has an effect on lossless compression JPEG image, and has been obtained a preferable compression ratio with little time cost. The new algorithm has been protected by China patent.