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摘要


The algebraic structure of bilinear groups with a large composite order which supports sub- group decision problem, was introduced into cryptography by Boneh et al., in order to design new homomorphic public-key encryption schemes. In this paper, we would like to point out that the structure loses the advantages of elliptic curve cryptography which gained mainly from smaller parameter size. From the practical point of view, this structure is unlikely applicable to cryptographic schemes.

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