This monograph describes and implements partially homomorphic encryption functions using a unified notation. After introducing the appropriate mathematical background, the authors offer a systematic examination of the following known algorithms: Rivest-Shamir-Adleman; Goldwasser-Micali; ElGamal; Benaloh; Naccache-Stern; Okamoto-Uchiyama; Paillier; Damgaard-Jurik; Boneh-Goh-Nissim; and Sander-Young-Yung. Over recent years partially and fully homomorphic encryption algorithms have been proposed and researchers have addressed issues related to their formulation, arithmetic, efficiency and security.

本专著使用统一符号描述和实现部分同态加密函数。在介绍了适当的数学背景后，作者对以下已知算法进行了系统的研究：Rivest-Shamir-Adleman；戈德瓦瑟·米卡利；埃尔加马尔；贝纳洛；纳卡什·斯特恩；冈本内山,；佩利尔；达姆加尔德·朱里克；Boneh Goh Nissim；和杨永。近年来，部分和完全同态加密算法已经被提出，研究人员已经解决了与它们的公式、算法、效率和安全性相关的问题。