Partially Homomorphic Encryption Schemes

There are several useful PHE examples [Rivestet al. 1978b; Goldwasser and Micali 1982 ElGamal1985; Benaloh 1994; Naccache and Stern 1998; Okamoto and Uchiyama 1998; Paillier 1999; Damgård and Jurik 2001; Kawachi et al. 2007] in the literature. Each has improved the PHE in some way. However, in this section, we primarily focus on major PHE schemes that are the basis for many other PHE schemes.