In this paper, we propose a provably secure grouporiented blind (t; n) threshold signature scheme which is the first scheme, such that, its security is proved as equivalent as the discrete logarithm problem in the random oracle model. By the scheme, any t out of n signers in a group can represent the group to sign blind threshold signatures, which can be used in anonymous digital e-cash systems or secure voting systems. By our proposed scheme, the issue of e-coins is controlled by several authorities. In our scheme, the size of a blind threshold signature is the same as that of an individual blind signature and the signature verification process is equivalent to that of an individual signature.
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