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Kurosawa-Desmedt Key Encapsulation Mechanism, Revisited

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Progress in Cryptology – AFRICACRYPT 2014 (AFRICACRYPT 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8469))

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Abstract

While the hybrid public key encryption scheme of Kurosawa and Desmedt (CRYPTO 2004) is provably secure against chosen ciphertext attacks (namely, IND-CCA-secure), its associated key encapsulation mechanism (KEM) is not IND-CCA-secure (Herranz et al. 2006, Choi et al. 2009). In this paper, we show a simple twist on the Kurosawa-Desmedt KEM turning it into a scheme with IND-CCA security under the decisional Diffie-Hellman assumption. Our KEM beats the standardized version of Cramer-Shoup KEM in ISO/IEC 18033-2 by margins of at least 20% in encapsulation speed, and 20% ~ 60% in decapsulation speed. Moreover, the public and secret key sizes in our schemes are at least 160-bit smaller than those of the Cramer-Shoup KEM. We then generalize the technique into hash proof systems, proposing several KEM schemes with IND-CCA security under decision linear and decisional composite residuosity assumptions respectively. All the KEMs are in the standard model, and use standard, computationally secure symmetric building blocks.

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Author information

Authors and Affiliations

  1. Ibaraki University, Japan

    Kaoru Kurosawa

  2. NICT, Japan

    Le Trieu Phong

Authors
  1. Kaoru Kurosawa
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  2. Le Trieu Phong
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Editors and Affiliations

  1. Computer Science Department, Ecole Normale Supérieure, 45, rue d’Ulm, 75005, Paris, France

    David Pointcheval  & Damien Vergnaud  & 

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Kurosawa, K., Trieu Phong, L. (2014). Kurosawa-Desmedt Key Encapsulation Mechanism, Revisited. In: Pointcheval, D., Vergnaud, D. (eds) Progress in Cryptology – AFRICACRYPT 2014. AFRICACRYPT 2014. Lecture Notes in Computer Science, vol 8469. Springer, Cham. https://doi.org/10.1007/978-3-319-06734-6_4

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  • DOI: https://doi.org/10.1007/978-3-319-06734-6_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06733-9

  • Online ISBN: 978-3-319-06734-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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