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Short Integrated PKE+PEKS in Standard Model

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Security, Privacy, and Applied Cryptography Engineering (SPACE 2017)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 10662))

Abstract

At SeCrypt 2015, Buccafurri et al. [BLSS15] presented an integrated public-key encryption (PKE) and public-key encryption with keyword search (PEKS) scheme (PKE+PEKS) whose security relies on the Symmetric eXternal Diffie-Hellman (SXDH) assumption but they did not provide a security proof. We present a construction of PKE+PEKS and prove its security in the standard model under the SXDH assumption. We prove that our scheme is both IND-PKE-CCA secure, that is, it provides message confidentiality against an adaptive chosen ciphertext adversary, and IND-PEKS-CCA secure, that is, it provides keyword privacy against an adaptive chosen ciphertext adversary. Ours is the first secure PKE+PEKS construction to use asymmetric pairings which enable an extremely fast implementation useful for practical applications. Our scheme has much shorter ciphertexts than the scheme in [BLSS15] and all other publicly known PKE+PEKS schemes. Finally, we compare our scheme with other proposed PEKS and integrated PKE+PEKS schemes and provide a relative analysis of various parameters including assumption, security and efficiency.

Second author is supported by the Brussels Region INNOVIRIS project SeCloud.

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Acknowledgements

We thank the anonymous reviewers for the constructive and helpful comments. We thank Francesco Buccafurri and Gianluca Lax for the useful discussions. We are thankful to Olivier Markowitch for the support.

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Authors and Affiliations

  1. R.C. Bose Centre for Cryptology and Security, Indian Statistical Institute, Kolkata, India

    Vishal Saraswat

  2. Département d’Informatique, Université Libre de Bruxelles, Brussels, Belgium

    Rajeev Anand Sahu

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  1. Vishal Saraswat
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  2. Rajeev Anand Sahu
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Correspondence to Vishal Saraswat .

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Editors and Affiliations

  1. Indian Institute of Technology, Tirupati, Andhra Pradesh, India

    Sk Subidh Ali

  2. Institut Mines-Télécom, Paris, France

    Jean-Luc Danger

  3. University of Lübeck, Lübeck, Germany

    Thomas Eisenbarth

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Saraswat, V., Sahu, R.A. (2017). Short Integrated PKE+PEKS in Standard Model. In: Ali, S., Danger, JL., Eisenbarth, T. (eds) Security, Privacy, and Applied Cryptography Engineering. SPACE 2017. Lecture Notes in Computer Science(), vol 10662. Springer, Cham. https://doi.org/10.1007/978-3-319-71501-8_13

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  • DOI: https://doi.org/10.1007/978-3-319-71501-8_13

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