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A CCA Secure Hybrid Damgård’s ElGamal Encryption

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Provable Security (ProvSec 2008)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5324))

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Abstract

ElGamal encryption, by its efficiency, is one of the most used schemes in cryptographic applications. However, the original ElGamal scheme is only provably secure against passive attacks. Damgård proposed a slight modification of ElGamal encryption scheme (named Damgård’s ElGamal scheme) that provides security against non-adaptive chosen ciphertext attacks under a knowledge-of-exponent assumption. Recently, the CCA1-security of Damgård’s ElGamal scheme has been proven under more standard assumptions.

In this paper, we study the open problem of CCA2-security of Damgård’s ElGamal. By employing a data encapsulation mechanism, we prove that the resulted hybrid Damgård’s ElGamal Encryption is secure against adaptive chosen ciphertext attacks. The down side is that the proof of security is based on a knowledge-of-exponent assumption. In terms of efficiency, this scheme is more efficient (e.g. one exponentiation less in encryption) than Kurosawa-Desmedt scheme, the most efficient scheme in the standard model so far.

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Author information

Authors and Affiliations

  1. University College London, Gower Street, London, WC1E 6BT, United Kingdom

    Yvo Desmedt

  2. University of Paris 8, 2, rue de la Libertè, 93526, Saint-Denis cedex 02, France

    Duong Hieu Phan

Authors
  1. Yvo Desmedt
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  2. Duong Hieu Phan
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Editor information

Editors and Affiliations

  1. Cryptography and Security Department Institute for Infocomm Research, Singapore

    Joonsang Baek

  2. Institute for Infocomm Research, 119613, Singapore

    Feng Bao

  3. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 200240, Shanghai, China

    Kefei Chen  & Xuejia Lai  & 

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© 2008 Springer-Verlag Berlin Heidelberg

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Desmedt, Y., Phan, D.H. (2008). A CCA Secure Hybrid Damgård’s ElGamal Encryption. In: Baek, J., Bao, F., Chen, K., Lai, X. (eds) Provable Security. ProvSec 2008. Lecture Notes in Computer Science, vol 5324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88733-1_5

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  • DOI: https://doi.org/10.1007/978-3-540-88733-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88732-4

  • Online ISBN: 978-3-540-88733-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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