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Achieving IND-CCA Security for Functional Encryption for Inner Products

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Information Security and Cryptology (Inscrypt 2016)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 10143))

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Abstract

Functional encryption allows the authorised parties to reveal partial information of the plaintext hidden in a ciphertext while in conventional encryption decryption is all-or-nothing. Focusing on the functionality of inner product evaluation (i.e. given vectors \(\varvec{x}\) and \(\varvec{y}\), calculate \(\langle \varvec{x} , \varvec{y} \rangle \)), Abdalla et al. (PKC 2015) proposed a functional encryption scheme for inner product functionality (FE-IP) with s-IND-CPA security. In some recent works by Abdalla et al. (eprint: Report 2016/11) and Agrawal et al. (CRYPTO 2016), IND-CPA secure FE-IP schemes have also been proposed. In order to achieve Indistinguishable under Chosen Ciphertext Attacks (IND-CCA security) for FE-IP, in this paper, we propose a generic construction of FE-IP from hash proof systems. We prove the constructed FE-IP is IND-CCA secure, assuming the hardness of the subset membership problem. In addition, we give an instantiation of our generic construction from the DDH assumption.

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Authors and Affiliations

  1. School of Computing and Information Technology, Centre for Computer and Information Security Research, University of Wollongong, Wollongong, Australia

    Shiwei Zhang, Yi Mu & Guomin Yang

Authors
  1. Shiwei Zhang
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  2. Yi Mu
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  3. Guomin Yang
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Corresponding authors

Correspondence to Shiwei Zhang , Yi Mu or Guomin Yang .

Editor information

Editors and Affiliations

  1. School of Science, Hangzhou Normal University, Hangzhou, China

    Kefei Chen

  2. Institute of Information Engineering, SKLOIS, Beijing, China

    Dongdai Lin

  3. Snapchat Inc., Columbia University, New York, New York, USA

    Moti Yung

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Zhang, S., Mu, Y., Yang, G. (2017). Achieving IND-CCA Security for Functional Encryption for Inner Products. In: Chen, K., Lin, D., Yung, M. (eds) Information Security and Cryptology. Inscrypt 2016. Lecture Notes in Computer Science(), vol 10143. Springer, Cham. https://doi.org/10.1007/978-3-319-54705-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-54705-3_8

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  • Print ISBN: 978-3-319-54704-6

  • Online ISBN: 978-3-319-54705-3

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