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An Identity‐Based Proxy Signature on NTRU Lattice

Hongfei ZhuThe School of Computer Science and TechnologyBeijing Institute of TechnologyBeijing100081ChinaYu‐an TanThe School of Computer Science and Technology, Beijing Institute of Technology, Beijing, 100081 ChinaXiao YuThe School of Computer Science and TechnologyBeijing Institute of TechnologyBeijing100081ChinaYuan XueThe School of Computer Science and Technology, Beijing Institute of Technology, Beijing, 100081 ChinaQikun ZhangInstitute of Computer and Communication EngineeringZhengzhou University of Light IndustryZhengzhou450002ChinaLiehuang ZhuThe School of Computer Science and TechnologyBeijing Institute of TechnologyBeijing100081ChinaYuanzhang LiThe School of Computer Science and TechnologyBeijing Institute of TechnologyBeijing100081China

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Proxy signature plays an important role in distributed systems, mobile agent applications, distributed shared object systems, global distribution networks and mobile communications etc., since it allows the original signer to delegate another proxy signer to sign the message instead of himself. However, the proxy signature schemes constructed on the number theory cannot resist quantum computers attack and depend on the public key infrastructure. To mitigate these problems, the alternative schemes are Identity-based proxy signature constructed on lattice. In this paper, an identity-based proxy signature scheme based on Number theorem research unit (NTRU) lattice is proposed and proven secure in the random oracle. Compared with the other existing identity-based proxy signature schemes, the proposed scheme outperforms them in terms of original signer's signature size and signing key size and proxy signer's signing key size.

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