A Lattice-Based Homomorphic Proxy Re-Encryption Scheme with Strong Anti-Collusion for Cloud Computing

Abstract

The homomorphic proxy re-encryption scheme combines the characteristics of a homomorphic encryption scheme and proxy re-encryption scheme. The proxy can not only convert a ciphertext of the delegator into a ciphertext of the delegatee, but also can homomorphically calculate the original ciphertext and re-encryption ciphertext belonging to the same user, so it is especially suitable for cloud computing. Yin et al. put forward the concept of a strong collusion attack on a proxy re-encryption scheme, and carried out a strong collusion attack on the scheme through an example. The existing homomorphic proxy re-encryption schemes use key switching algorithms to generate re-encryption keys, so it can not resist strong collusion attack. In this paper, we construct the first lattice-based homomorphic proxy re-encryption scheme with strong anti-collusion (HPRE-SAC). Firstly, algorithm TrapGen is used to generate an encryption key and trapdoor, then trapdoor sampling is used to generate a decryption key and re-encryption key, respectively. Finally, in order to ensure the homomorphism of ciphertext, a key switching algorithm is only used to generate the evaluation key. Compared with the existing homomorphic proxy re-encryption schemes, our HPRE-SAC scheme not only can resist strong collusion attacks, but also has smaller parameters.

Application of Industrial Big Data Cloud Control Platform Based on Fusion Transmission Sensor

“…At this stage, the photovoltaic power station operation and maintenance platform realizes basic management and control such as report statistics, power generation upload, fault work order management, and real-time display of equipment data. However, in 2017, with the increase of the number of power stations, the data volume has become a reality, and the current power station operation and maintenance platform has been unable to meet the deep-level needs such as in-depth analysis and refined management and control of trend warning [11,12]. On the basis of remote monitoring and operation, photovoltaic power plant operation and maintenance has entered the era of big data operation platform, that is, using big data technology to analyze, give early warning, and propose solutions.…”

Survey on Fully Homomorphic Encryption, Theory, and Applications

“…All these works solve the collusion attack that Gentry's approach presents, however they are not resilient to strong collusion attacks. Namely, the proxy and the delegatee cannot obtain the delegator's secret key but they can still obtain some information about the delegator's secret key [239]. Moreover, as stated in [240], known HPRE schemes are only CPA secure, which is not adequate in some scenarios [241].…”

Survey on Fully Homomorphic Encryption, Theory, and Applications

“…All these works solve the collusion attack that Gentry's approach presents, however they are not resilient to strong collusion attacks. Namely, the proxy and the delegatee cannot obtain the delegator's secret key but they can still obtain some information about the delegator's secret key [240]. Moreover, as stated in [241], known HPRE schemes are only CPA secure, which is not adequate in some scenarios [242].…”