云计算环境下安全高效全同态签名方案的构造

Motivated by the requirements for non-interactive verifiable computation on the data in cloud computing environments, this project investigates how to construct secure and efficient fully homomorphic signature (FHS) schemes, which allow any user (including users that do not have the signing key) to homomorphically perform arbitrary computations over signed data while maintaining the integrity, authentication and non-repudiation of the underlying data, based on the theory of cryptography and algebra. We intend to proceed the specific studies on the following aspects: proposing secure and efficient candidates for leveled FHS, pure FHS, multi-key FHS, identity-based FHS and fully homomorphic signcryption (FHSC). The research achievements of this project not only enable us to establish the theoretical framework of (multi-key) FHS, improve the technology of identity-based FHS and extend the theory of FHSC, but also can be widely applied to the emerging fields such as cloud computing, big data and mobile Internet, which thus will greatly promote the development of cyberspace security research for our country.

本项目以云计算环境中对数据非交互可验证计算的需求为研究背景，结合密码学和代数学等相关理论，拟研究如何构造安全高效的全同态签名方案，即在保证数据完整性、认证性和不可否认性的前提下，任何用户(包括不拥有签名密钥的用户)仍能够对签名数据执行任意同态计算的签名方案。具体研究如下内容：安全高效的层次型全同态签名、纯全同态签名、多密钥全同态签名、身份基全同态签名和全同态签密等。本项目的研究成果不但可以建立(多密钥)全同态签名构造理论框架、完善身份基全同态签名技术、发展全同态签密理论，而且可以广泛应用于云计算、大数据、移动互联网等新兴领域，将极大地促进我国的网络空间安全研究。

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