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Chosen Ciphertext Secure Public Key Encryption with a Simple Structure

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Part of the book series:Lecture Notes in Computer Science ((LNSC,volume 5312))

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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 elementsg1,...,gℓ in the public key a sender computes only\(g_1^r,\ldots,g_\ell^r\) for encryption wherer 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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Author information

Authors and Affiliations

  1. RCIS, AIST, Japan

    Goichiro Hanaoka, Hideki Imai & Hajime Watanabe

  2. Chuo University, Japan

    Hideki Imai

  3. Japan Broadcasting Corporation, Japan

    Kazuto Ogawa

Authors
  1. Goichiro Hanaoka

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  2. Hideki Imai

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  3. Kazuto Ogawa

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  4. Hajime Watanabe

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Editor information

Editors and Affiliations

  1. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro-ku, 153-8505, Tokyo, Japan

    Kanta Matsuura

  2. NTT Information Sharing Platform Laboratories, NTT Corporation, Japan

    Eiichiro Fujisaki

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© 2008 Springer-Verlag Berlin Heidelberg

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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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