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In this paper, the authors put forward an efficient certificateless designated verifier signature scheme, in which only two pairing operations are needed in the signing and verification processes. Our scheme is one of schemes with the shortest signatures length compared with any schemes available in the literature. Our scheme satisfies all the requirements of the designated verifier signature. At the same time, it is proved secure in the random oracle model with the assumptions that the GBDH problem and CDH problem are infeasible.