Full Secure Identity-Based Encryption Scheme over Lattices in the Standard Model

Jizhong Wang, Chunxiao Wang
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引用次数: 4

Abstract

Using a known lattice-based chosen plain-text secure encryption scheme and the Bonsai trees primitive, a identity-based encryption (IBE) scheme is proposed in this paper. A public matrices chosen rule that has been used in a known efficient lattice-based chosen ciphtertext secure encryption scheme is used in this paper to reduce the public key size and the message-to ciphtertext expanse factor. Under the hardness of the decision variant of the learning with errors (LWE) problem, we prove that the proposed IBE scheme is indistinguishable against the adaptive chosen identities and chosen-plaintext attack in the standard model. Since a new public key chosen rule is used in our design scheme, the public key size of the proposed scheme would be short. Moreover, the message-to-ciphtertext expanse factor of this scheme is also controlled efficiently which is nearly closed to that of Gentry's scheme. Due to the quantum intractability of the LWE problem on which the scheme is based, the proposed IBE scheme is secure even in quantum-era.
标准模型中基于格的完全安全身份加密方案
利用已知的基于格子的选择明文安全加密方案和盆景树原语,提出了一种基于身份的加密方案。本文采用一种已知有效的基于格的选择密文安全加密方案中使用的公共矩阵选择规则来减小公钥大小和消息到密文的扩展系数。在有误差学习(LWE)问题的决策变量的硬度下,我们证明了所提出的IBE方案对标准模型中的自适应选择身份和选择明文攻击是不可区分的。由于在我们的设计方案中使用了新的公钥选择规则,因此所提议方案的公钥大小将很短。此外,该方案的消息到密文的扩展系数也得到了有效的控制,与Gentry方案的扩展系数几乎接近。由于该方案所基于的LWE问题的量子难解性,因此所提出的IBE方案即使在量子时代也是安全的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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