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DNA computing is a new vista of computation,which is of biochemical type.Since each piece of information is encoded in biological sequences,their design is crucial for successful DNA computation.DNA sequence design is involved with a number of design criteria.which is difficult to be solved by the traditional optimization methods.In this paper,the multi-objective carrier chaotic evolution algorithm (MCCEA) is introduced to solve the DNA sequence design problem.By merging the chaotic search base on power function carrier.a set of good DNA sequences are generated.Furthermore,the simulation results show the efficiency of our method