Abstract
In this paper, we present a new public key encryption scheme with an easy-to-understand structure. More specifically, in the proposed scheme, for fixed group elements g 1,...,g ℓ in the public key a sender computes only \(g_1^r,\ldots,g_\ell^r\) for encryption where r is a single random number. Due to this simple structure, its security proof becomes very short (and one would easily understand the simulator’s behavior for simultaneously dealing with embedding a hard problem and simulating a decryption oracle). Our proposed scheme is provably chosen-ciphertext secure under the gap Diffie-Hellman assumption (without random oracles). A drawback of our scheme is that its ciphertext is much longer than known practical schemes. We also propose a modification of our scheme with improved efficiency.
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Hanaoka, G., Imai, H., Ogawa, K., Watanabe, H. (2008). Chosen Ciphertext Secure Public Key Encryption with a Simple Structure . In: Matsuura, K., Fujisaki, E. (eds) Advances in Information and Computer Security. IWSEC 2008. Lecture Notes in Computer Science, vol 5312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89598-5_2
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DOI: https://doi.org/10.1007/978-3-540-89598-5_2
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