@article{Yang2014, 
author = {Yatao Yang and Shuang Zhang and Junming Yang and Jia Li and Zichen Li},
title = {Targeted Fully Homomorphic Encryption Based on a Double Decryption Algorithm for Polynomials},
year = {2014},
journal = {Tsinghua Science and Technology},
volume = {19},
number = {5},
pages = {478-485},
keywords = {targeted fully homomorphic encryption, discrete logarithm problem, exponential function method, power function method},
url = {https://www.sciopen.com/article/10.1109/TST.2014.6919824},
doi = {10.1109/TST.2014.6919824},
abstract = {Several public-key encryption schemes used to solve the problem of ciphertext data processing on the fly are discussed. A new targeted fully homomorphic encryption scheme based on the discrete logarithm problem is presented. Public-key encryption cryptosystems are classified to examine homomorphic encryption. Without employing techniques proposed by Gentry such as somewhat homomorphic and bootstrapping techniques, or relinearization technique proposed by Brakerski et al., a new method called " Double Decryption Algorithm" is employed in our cryptography to satisfy a fully or targeted fully homomorphic property. Inspired by ElGamal and BGN cryptography, we obtain the desired fully homomorphic property by selecting a new group and adding an extra component to the ciphertext. Proof of semantic security is also demonstrated.}
}