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Secure ElGamal-Type Cryptosystems Without Message Encoding

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The New Codebreakers

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9100))

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Abstract

ElGamal cryptosystem is one of the oldest public-key cryptosystems. It is known to be semantically secure for arbitrary messages in the random oracle model under the decisional Diffie-Hellman assumption. Semantic security also holds in the standard model when messages are encoded as elements in the group for which the decisional Diffie-Hellman assumption is defined. This paper introduces a setting and companion cryptosystem where semantic security can be proved in the standard model without message encoding. Extensions achieving security against chosen-ciphertext attacks are also provided.

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Authors and Affiliations

  1. Technicolor, 175 S. San Antonio Road, Los Altos, CA, 94022, USA

    Marc Joye

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  1. Marc Joye
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Correspondence to Marc Joye .

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Editors and Affiliations

  1. Université du Luxembourg , Luxembourg, Luxembourg

    Peter Y. A. Ryan

  2. Ecole normale supérieure , Paris, France

    David Naccache

  3. Université Catholique de Louvain , Louvain-la-Neuve, Belgium

    Jean-Jacques Quisquater

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Joye, M. (2016). Secure ElGamal-Type Cryptosystems Without Message Encoding. In: Ryan, P., Naccache, D., Quisquater, JJ. (eds) The New Codebreakers. Lecture Notes in Computer Science(), vol 9100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49301-4_29

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  • DOI: https://doi.org/10.1007/978-3-662-49301-4_29

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-49300-7

  • Online ISBN: 978-3-662-49301-4

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