Recent booming growth of networking-based solutions have brought numerous challenges to security and privacy from both perspectives of insider and outsider threats. The encrypted data are relatively considered a safe storage status; however, the process of encrypting data is still facing adversarial actions and data process generally is inapplicable over ciphertexts. As a type of the encryption approach allowing computations over ciphertexts, a fully homomorphic encryption (FHE) can concurrently deal with the adversarial hazards and support computations on ciphertexts. This paper focuses on the issue of blend arithmetic operations over real numbers and proposes a novel tensor-based FHE solution. The proposed approach is called a FHE for blend operations model that uses tensor laws to carry the computations of blend arithmetic operations over real numbers. In our paper, we provide both theoretical proof and experimental evaluations in order to evince the adoptability of the proposed approach.

中文翻译：

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基于张量的基于实数的全同态加密的混合算术运算

从内部和外部威胁的角度来看，基于网络的解决方案的近期蓬勃发展为安全和隐私带来了众多挑战。相对而言，加密数据被视为安全存储状态；但是，加密数据的过程仍然面临对抗行为，并且数据过程通常不适用于密文。作为一种允许对密文进行计算的加密方法，完全同态加密（FHE）可以同时处理对抗性危害并支持对密文进行计算。本文关注于实数上的混合算术运算问题，并提出了一种基于张量的新颖FHE解决方案。所提出的方法称为混合运算FHE，该模型使用张量定律在实数上进行混合算术运算的计算。在本文中，我们同时提供了理论证明和实验评估，以证明所提出方法的可采用性。