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ID-based Proactive Threshold Proxy Signature in the Standard Model

Xiaoguang Han

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Abstract

At present,the security of the identity based proactive threshold proxy signature schemes was almost proven in the random oracle model,and the threshold value of these schemes was almost changeless.It is more practical to design threshold proxy signature scheme in the standard model,compared with the existing ones.Aiming at the two problems pointed out above,this paper presented a proactive threshold proxy signature scheme by using the hardness of the computational Diffie-Hellman problem with changeable threshold value,based on the modification of Paterson' proposed identity based signature scheme.At last,the scheme's correctness was exactly proven in terms of bilinear pairing technique and its security analysis and prove were given in detail in the assumption of the computational Diffie-Hellman problem,therefore,this scheme was proven secure and reliable.

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What this paper is about

At present,the security of the identity based proactive threshold proxy signature schemes was almost proven in the random oracle model,and the threshold value of these schemes was almost changeless.It is more practical to design threshold proxy signature scheme in the standard model,compared with the existing ones.Aiming at the two problems pointed out above,this paper presented a proactive threshold proxy signature scheme by using the hardness of the computational Diffie-Hellman problem with changeable threshold value,based on the modification of Paterson' proposed identity based signature scheme.At last,the scheme's correctness was exactly proven in terms of bilinear pairing technique and its security analysis and prove were given in detail in the assumption of the computational Diffie-Hellman problem,therefore,this scheme was proven secure and reliable.

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Available abstract

At present,the security of the identity based proactive threshold proxy signature schemes was almost proven in the random oracle model,and the threshold value of these schemes was almost changeless.It is more practical to design threshold proxy signature scheme in the standard model,compared with the existing ones.Aiming at the two problems pointed out above,this paper presented a proactive threshold proxy signature scheme by using the hardness of the computational Diffie-Hellman problem with changeable threshold value,based on the modification of Paterson' proposed identity based signature scheme.At last,the scheme's correctness was exactly proven in terms of bilinear pairing technique and its security analysis and prove were given in detail in the assumption of the computational Diffie-Hellman problem,therefore,this scheme was proven secure and reliable.

Key concepts: Random oracle, Computer science, Correctness, Bilinear interpolation, Proxy (statistics), Signature (topology), Schnorr signature, Scheme (mathematics)

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