Elliptic Curve Paillier Schemes

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A Review of Homomorphic Encryption Libraries for Secure Computation (2018, background): “Partially Homomorphic Encryption (PHE) schemes such as [9,10,11,12,13,14,15,16,17,18,19] allow only one type of operation any number of times - either addition or multiplication on encrypted data as compared to Somewhat Homomorphic schemes that support both.”
A Survey on Homomorphic Encryption Schemes (2017, methodology): “Finally, Galbraith [Galbraith 2002] introduced a more natural generalization of Paillier’s cryptosystem applying it on elliptic curves while still preserving the homomorphic property of the Paillier’s cryptosystem.”
Single Database Private Information Retrieval with Logarithmic Communication (2004, methodology): “Because Paillier’s cryptosystem along with its variants have drawn extensive studies in recent cryptographic researches [3,4,8,9] (just to cite a few), and have many important applications (e.”
A Survey of Homomorphic Encryption for Nonspecialists (2007, background): “(vii) Galbraith proposed in [58] an adaptation of the previous scheme in the context of elliptic curves.”