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Efficient Functional Encryption for Inner-Product Values with Full-Hiding Security

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Information Security (ISC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9866))

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Abstract

We construct an efficient non-generic private-key functional encryption (FE) for inner-product values with full-hiding security, where confidentiality is assured not only for encrypted data but also for functions associated with secret keys. Recently, Datta et al. presented such a scheme in PKC 2016 and this is the only scheme that achieved full-hiding security. Our scheme has an advantage over their scheme for the following points.

  1. 1.

    More efficient: our scheme is two times faster in encryption and decryption, and a master secret key, secret keys and ciphertexts are the half size, compared with their scheme.

  2. 2.

    Weaker assumption: our scheme is secure under the decisional linear (DLIN) assumption or its variant, while their scheme is under a stronger assumption, the symmetric external Diffie-Hellman (SXDH) assumption.

  3. 3.

    More flexible: we can apply our scheme to any type of bilinear pairing groups, while their scheme is suitable only for type 3 groups.

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References

  1. Abdalla, M., Bourse, F., De Caro, A., Pointcheval, D.: Simple functional encryption schemes for inner products. In: Katz, J. (ed.) PKC 2015. LNCS, vol. 9020, pp. 733–751. Springer, Heidelberg (2015)

    Google Scholar 

  2. Abdalla, M., Bourse, F., Caro, A.D., Pointcheval, D.: Better security for functional encryption for inner product evaluations. Cryptology ePrint Archive, Report 2016/11 (2016)

    Google Scholar 

  3. Abe, M., Chase, M., David, B., Kohlweiss, M., Nishimaki, R., Ohkubo, M.: Constant-size structure-preserving signatures: generic constructions and simple assumptions. In: Wang, X., Sako, K. (eds.) ASIACRYPT 2012. LNCS, vol. 7658, pp. 4–24. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  4. Agrawal, S., Agrawal, S., Badrinarayanan, S., Kumarasubramanian, A., Prabhakaran, M., Sahai, A.: Function private functional encryption and property preserving encryption: new definitions and positive results. Cryptology ePrint Archive, Report 2013/744 (2013)

    Google Scholar 

  5. Agrawal, S., Libert, B., Stehle, D.: Fully secure functional encryption for inner products, from standard assumptions. Cryptology ePrint Archive, Report 2015/608 (2015)

    Google Scholar 

  6. Bishop, A., Jain, A., Kowalczyk, L.: Function-hiding inner product encryption. Cryptology ePrint Archive, Report 2015/672 (2015)

    Google Scholar 

  7. Boneh, D., Franklin, M.: Identity-based encryption from the weil pairing. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 213–229. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  8. Boneh, D., Sahai, A., Waters, B.: Functional encryption: definitions and challenges. In: Ishai, Y. (ed.) TCC 2011. LNCS, vol. 6597, pp. 253–273. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  9. Brakerski, Z., Segev, G.: Function-private functional encryption in the private-key setting. In: Dodis, Y., Nielsen, J.B. (eds.) TCC 2015, Part II. LNCS, vol. 9015, pp. 306–324. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

  10. Boneh, D., Raghunathan, A., Segev, G.: Function-private identity-based encryption: hiding the function in functional encryption. In: Canetti, R., Garay, J.A. (eds.) CRYPTO 2013, Part II. LNCS, vol. 8043, pp. 461–478. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  11. Boneh, D., Raghunathan, A., Segev, G.: Function-private subspace-membership encryption and its applications. In: Sako, K., Sarkar, P. (eds.) ASIACRYPT 2013, Part I. LNCS, vol. 8269, pp. 255–275. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  12. Datta, P., Dutta, R., Mukhopadhyay, S.: Functional encryption for inner product with full function privacy. Cryptology ePrint Archive, Report 2015/1255 (2015)

    Google Scholar 

  13. Garg, S., Gentry, C., Halevi, S., Raykova, M., Sahai, A., Waters, B.: Candidate indistinguishability obfuscation and functional encryption for all circuits. In: FOCS, pp. 40–49. IEEE (2013)

    Google Scholar 

  14. Garg, S., Gentry, C., Halevi, S., Zhandry, M.: Fully secure functional encryption without obfuscation. Cryptology ePrint Archive, Report 2014/666 (2014)

    Google Scholar 

  15. Galbraith, S.D., Paterson, K.G., Smart, N.P.: Pairings for cryptographers. Discrete Appl. Math. 156(16), 3113–3121 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  16. Katz, J., Sahai, A., Waters, B.: Predicate encryption supporting disjunctions, polynomial equations, and inner products. In: Smart, N.P. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 146–162. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  17. Lewko, A., Okamoto, T., Sahai, A., Takashima, K., Waters, B.: Fully secure functional encryption: attribute-based encryption and (hierarchical) inner product encryption. In: Gilbert, H. (ed.) EUROCRYPT 2010. LNCS, vol. 6110, pp. 62–91. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Okamoto, T., Takashima, K.: Hierarchical predicate encryption for inner-products. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 214–231. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  19. Okamoto, T., Takashima, K.: Fully secure functional encryption with general relations from the decisional linear assumption. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 191–208. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  20. Okamoto, T., Takashima, K.: Adaptively attribute-hiding (hierarchical) inner product encryption. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 591–608. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  21. ONeill, A.: Definitional issues in functional encryption. Cryptology ePrint Archive, Report 2010/556 (2010)

    Google Scholar 

  22. Ostrovsky, R., Sahai, A., Waters, B.: Attribute-based encryption with non-monotonic access structures. In: ACM Conference on Computer and Communications Security, pp. 195–203. ACM (2007)

    Google Scholar 

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Authors and Affiliations

  1. Kyoto University, Kyoto, Japan

    Junichi Tomida

  2. NTT Secure Platform Laboratories, Tokyo, Japan

    Masayuki Abe & Tatsuaki Okamoto

Authors
  1. Junichi Tomida
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  2. Masayuki Abe
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  3. Tatsuaki Okamoto
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Corresponding author

Correspondence to Junichi Tomida .

Editor information

Editors and Affiliations

  1. University of California , Davies, USA

    Matt Bishop

  2. University of Washington , Tacoma, Washington, USA

    Anderson C A Nascimento

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Tomida, J., Abe, M., Okamoto, T. (2016). Efficient Functional Encryption for Inner-Product Values with Full-Hiding Security. In: Bishop, M., Nascimento, A. (eds) Information Security. ISC 2016. Lecture Notes in Computer Science(), vol 9866. Springer, Cham. https://doi.org/10.1007/978-3-319-45871-7_24

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  • DOI: https://doi.org/10.1007/978-3-319-45871-7_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45870-0

  • Online ISBN: 978-3-319-45871-7

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