有效的标准模型下格上基于身份的代理重加密

江明明; 郭宇燕; 余磊; 宋万干; 魏仕民

doi:10.11999/JEIT180146

有效的标准模型下格上基于身份的代理重加密

doi: 10.11999/JEIT180146

淮北师范大学计算机科学与技术学院淮北 235000

基金项目: 国家自然科学基金(60573026)，安徽省自然科学基金(1708085QF154)，安徽省高校自然科学基金(KJ2016A627, KJ2018A0398, KJ2017ZD32)，安徽省高校人才计划项目(gxyq2017154)

详细信息

作者简介:
江明明：男，1984年生，博士，讲师，研究方向为格公钥密码、数字签名

郭宇燕：女，1984年生，博士，讲师，研究方向为抗泄露密码、信息安全

余磊：男，1978年生，硕士，副教授，研究方向为信息安全、安全协议

宋万干：男，1963年生，硕士，教授，研究方向为信息安全、数据挖掘

魏仕民：男，1962年生，博士，教授，研究方向为序列密码、信息安全

通讯作者:
余磊　yulei@chun.edu.com

中图分类号: TN918.4
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- 被引次数: 0
出版历程
- 收稿日期: 2018-02-02
- 修回日期: 2018-10-25
- 网络出版日期: 2018-11-02
- 刊出日期: 2019-01-01

Efficient Identity-based Proxy Re-encryption on Lattice in the Standard Model

School of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, China

Funds: The National Natural Science Foundations of China (60573026), Anhui Provincial Natural Science Foundation (1708085Q154), The Nature Science Foundation of Anhui Higher Education Institutions (KJ2016A627, KJ2018A398, KJ2017ZD32), The Talent Project of Anhui Higher Education Institutions (gxyq2017154)

摘要

摘要:
代理重加密在云计算环境下的密文共享等方面起着重要的作用。目前格上基于身份的代理重加密方案都是随机预言机模型的。针对这个问题，该文构造了一个高效的标准模型下格上基于身份的代理重加密方案。在方案中，用户身份仅仅被映射为一个向量，使得用户私钥的尺寸较短。该方案具有双向性，多次使用性等性质，并且在LWE困难假设下是适应性选择身份CPA安全的。
- 代理重加密 /
- 格密码 /
- 高斯抽样 /
- 基于身份的密码学
Abstract:
Proxy re-encryption plays an important role for encrypted data sharing and so on in cloud computing. Currently, almost all of the constructions of identity-based proxy re-encryption over lattice are in the random oracle model. According to this problem, an efficient identity-based proxy re-encryption is constructed over lattice in the standard model, where the identity string is just mapped to one vector and getting a shorter secret key for users. The proposed scheme has the properties of bidirectional, multi-use, moreover, it is semantic secure against adaptive chosen identity and chosen plaintext attack based on Learning With Errors (LWE) problems in the standard mode.
- Proxy re-encryption /
- Lattice cryptography /
- Gaussian sampling /
- Identity-based cryptography

HTML全文

表 1 存储空间及安全模型比较

	主公钥尺寸	用户私钥尺寸	密文尺寸	安全模型
本文方案	O((m+l)nlog₂q)	O(mlog₂q)	O(mlog₂q)	标准模型
文献[9]	O(nmlog₂q)	O(mlog₂q)	O(mlog₂q)	随机预言机模型
文献[10]	O(nmlog₂q)	O(nmlog₂q)	O(mlog₂q)	随机预言机模型

下载: 导出CSV

表 2 计算效率比较

	私钥生成	加密	重加密	解密
本文方案	O(n²)	O(n²)	O(n)	O(n)
文献[9]	O(n²)	O(n²)	O(n)	O(n)
文献[10]	O(n²)	O(n²)	O(n²)	O(n³)

下载: 导出CSV

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