[Resource Topic] 2020/496: Linear Generalized ElGamal Encryption Scheme

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Title:
Linear Generalized ElGamal Encryption Scheme

Authors: Demba Sow, Léo Robert, Pascal Lafourcade

Abstract:

ElGamal public key encryption scheme has been designed in the 80’s. It is one of the first partial homomorphic encryption and one of the first IND-CPA probabilistic public key encryption scheme. A linear version has been recently proposed by Boneh et al. In this paper, we present a linear encryption based on a generalized version of ElGamal encryption scheme. We prove that our scheme is IND-CPA secure under the linear assumption. We design a also generalized ElGamal scheme from the generalized linear. We also run an evaluation of performances of our scheme. We show that the decryption algorithm is faster than the existing versions.

ePrint: https://eprint.iacr.org/2020/496

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