2013•IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesRequires access

On Discrete Logarithm Based Additively Homomorphic Encryption

Jae Hong Seo, Keita Emura

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Abstract

In this paper, we examine additive homomorphic encryptions in the discrete logarithm setting. Recently, Wang et al. proposed an additive homomorphic encryption scheme by modifying the ElGamal encryption scheme [Information Sciences 181(2011) 3308-3322]. We show that their scheme allows only limited number of additions among encrypted messages, which is different from what they claimed.

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What this paper is about

In this paper, we examine additive homomorphic encryptions in the discrete logarithm setting. Recently, Wang et al. proposed an additive homomorphic encryption scheme by modifying the ElGamal encryption scheme [Information Sciences 181(2011) 3308-3322]. We show that their scheme allows only limited number of additions among encrypted messages, which is different from what they claimed.

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Available abstract

In this paper, we examine additive homomorphic encryptions in the discrete logarithm setting. Recently, Wang et al. proposed an additive homomorphic encryption scheme by modifying the ElGamal encryption scheme [Information Sciences 181(2011) 3308-3322]. We show that their scheme allows only limited number of additions among encrypted messages, which is different from what they claimed.

Key concepts: ElGamal encryption, Homomorphic encryption, Discrete logarithm, Encryption, Scheme (mathematics), Logarithm, Computer science, Theoretical computer science

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