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A Generic Construction of CCA-Secure Attribute-Based Encryption with Equality Test

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Provable and Practical Security (ProvSec 2022)

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Abstract

Attribute-based encryption with equality test (\(\textsf{ABEET}\)) is an extension of the ordinary attribute-based encryption (\(\textsf{ABE}\)), where trapdoors enable us to check whether two ciphertexts are encryptions of the same message. Thus far, several CCA-secure \(\textsf{ABEET}\) schemes have been proposed for monotone span programs satisfying selective security under q-type assumptions. In this paper, we propose a generic construction of CCA-secure \(\textsf{ABEET}\) from delegatable \(\textsf{ABE}\). Specifically, our construction is an attribute-based extension of Lee et al.’s generic construction of identity-based encryption with equality test from hierarchical identity-based encryption. Even as far as we know, there are various delegatable \(\textsf{ABE}\) schemes. Therefore, we obtain various \(\textsf{ABEET}\) schemes with new properties that have not been achieved before such as various predicates, adaptive security, standard assumptions, compact ciphertexts/secret keys, and lattice-based constructions.

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Notes

  1. 1.

    To be precise, Ambrona et al. provided a delegatable transformation only for predicate encoding. However, we can modify a pair encoding scheme as a delegatable one in a similar way.

References

  1. Abdalla, M., et al.: Searchable encryption revisited: consistency properties, relation to anonymous IBE, and extensions. J. Cryptology 21(3), 350–391 (2007). https://doi.org/10.1007/s00145-007-9006-6

    Article  MathSciNet  MATH  Google Scholar 

  2. Abdalla, M., De Caro, A., Mochetti, K.: Lattice-based hierarchical inner product encryption. In: Hevia, A., Neven, G. (eds.) LATINCRYPT 2012. LNCS, vol. 7533, pp. 121–138. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-33481-8_7

    Chapter  Google Scholar 

  3. Agrawal, S., Chase, M.: A study of pair encodings: predicate encryption in prime order groups. In: Kushilevitz, E., Malkin, T. (eds.) TCC 2016. LNCS, vol. 9563, pp. 259–288. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49099-0_10

    Chapter  MATH  Google Scholar 

  4. Agrawal, S., Chase, M.: simplifying design and analysis of complex predicate encryption schemes. In: Coron, J.-S., Nielsen, J.B. (eds.) EUROCRYPT 2017. LNCS, vol. 10210, pp. 627–656. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-56620-7_22

    Chapter  Google Scholar 

  5. Agrawal, S., Maitra, M., Yamada, S.: Attribute based encryption (and more) for nondeterministic finite automata from LWE. In: Boldyreva, A., Micciancio, D. (eds.) CRYPTO 2019. LNCS, vol. 11693, pp. 765–797. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-26951-7_26

    Chapter  Google Scholar 

  6. Agrawal, S., Maitra, M., Yamada, S.: Attribute based encryption for deterministic finite automata from \(\sf DLIN\). In: Hofheinz, D., Rosen, A. (eds.) TCC 2019. LNCS, vol. 11892, pp. 91–117. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-36033-7_4

    Chapter  Google Scholar 

  7. Ambrona, M., Barthe, G., Schmidt, B.: Generic transformations of predicate encodings: constructions and applications. In: Katz, J., Shacham, H. (eds.) CRYPTO 2017. LNCS, vol. 10401, pp. 36–66. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-63688-7_2

    Chapter  Google Scholar 

  8. Asano, K., Emura, K., Takayasu, A., Watanabe, Y.: A generic construction of cca-secure attribute-based encryption with equality test. IACR Cryptol. ePrint Arch, p. 1371 (2021). https://eprint.iacr.org/2021/1371

  9. Attrapadung, N.: Dual system encryption via doubly selective security: framework, fully secure functional encryption for regular languages, and more. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 557–577. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-55220-5_31

    Chapter  Google Scholar 

  10. Attrapadung, N.: Dual system encryption framework in prime-order groups via computational pair encodings. In: Cheon, J.H., Takagi, T. (eds.) ASIACRYPT 2016. LNCS, vol. 10032, pp. 591–623. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-53890-6_20

    Chapter  MATH  Google Scholar 

  11. Attrapadung, N.: Unbounded dynamic predicate compositions in attribute-based encryption. In: Ishai, Y., Rijmen, V. (eds.) EUROCRYPT 2019. LNCS, vol. 11476, pp. 34–67. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-17653-2_2

    Chapter  MATH  Google Scholar 

  12. Boneh, D., Di Crescenzo, G., Ostrovsky, R., Persiano, G.: Public key encryption with keyword search. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 506–522. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24676-3_30

    Chapter  Google Scholar 

  13. Boneh, D., Gentry, C., Gorbunov, S., Halevi, S., Nikolaenko, V., Segev, G., Vaikuntanathan, V., Vinayagamurthy, D.: Fully key-homomorphic encryption, arithmetic circuit abe and compact garbled circuits. In: Nguyen, P.Q., Oswald, E. (eds.) EUROCRYPT 2014. LNCS, vol. 8441, pp. 533–556. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-55220-5_30

    Chapter  Google Scholar 

  14. Brakerski, Z., Vaikuntanathan, V.: Circuit-abe from lwe: unbounded attributes and semi-adaptive security. In: Robshaw, M., Katz, J. (eds.) CRYPTO 2016. LNCS, vol. 9816, pp. 363–384. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-53015-3_13

    Chapter  Google Scholar 

  15. Canetti, R., Halevi, S., Katz, J.: Chosen-ciphertext security from identity-based encryption. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 207–222. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24676-3_13

    Chapter  Google Scholar 

  16. Chen, J., Gay, R., Wee, H.: Improved dual system ABE in prime-order groups via predicate encodings. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9057, pp. 595–624. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-46803-6_20

    Chapter  Google Scholar 

  17. Chen, J., Gong, J.: ABE with tag made easy. In: Takagi, T., Peyrin, T. (eds.) ASIACRYPT 2017. LNCS, vol. 10625, pp. 35–65. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-70697-9_2

    Chapter  Google Scholar 

  18. Cui, Y., Huang, Q., Huang, J., Li, H., Yang, G.: Outsourced ciphertext-policy attribute-based encryption with equality test. In: Guo, F., Huang, X., Yung, M. (eds.) Inscrypt 2018. LNCS, vol. 11449, pp. 448–467. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-14234-6_24

    Chapter  Google Scholar 

  19. Cui, Y., Huang, Q., Huang, J., Li, H., Yang, G.: Ciphertext-policy attribute-based encrypted data equality test and classification. Comput. J. 62(8), 1166–1177 (2019)

    Article  MathSciNet  Google Scholar 

  20. Gong, J., Waters, B., Wee, H.: ABE for DFA from k-Lin. In: Boldyreva, A., Micciancio, D. (eds.) CRYPTO 2019. LNCS, vol. 11693, pp. 732–764. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-26951-7_25

    Chapter  Google Scholar 

  21. Gong, J., Wee, H.: Adaptively secure ABE for DFA from k-Lin and more. In: Canteaut, A., Ishai, Y. (eds.) EUROCRYPT 2020. LNCS, vol. 12107, pp. 278–308. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-45727-3_10

    Chapter  Google Scholar 

  22. Lee, H.T., Ling, S., Seo, J.H., Wang, H.: Semi-generic construction of public key encryption and identity-based encryption with equality test. Inf. Sci. 373, 419–440 (2016)

    Article  MATH  Google Scholar 

  23. Lee, H.T., Ling, S., Seo, J.H., Wang, H., Youn, T.: Public key encryption with equality test in the standard model. Inf. Sci. 516, 89–108 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  24. 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). https://doi.org/10.1007/978-3-642-13190-5_4

    Chapter  Google Scholar 

  25. Li, C., Shen, Q., Xie, Z., Feng, X., Fang, Y., Wu, Z.: Large universe CCA2 CP-ABE with equality and validity test in the standard model. Comput. J. 64(4), 509–533 (2021)

    Article  MathSciNet  Google Scholar 

  26. Takayasu, A.: Tag-based ABE in prime-order groups via pair encoding. Des. Codes Crypt. 89(8), 1927–1963 (2021). https://doi.org/10.1007/s10623-021-00894-4

    Article  MathSciNet  MATH  Google Scholar 

  27. Tomida, J., Kawahara, Y., Nishimaki, R.: Fast, compact, and expressive attribute-based encryption. Des. Codes Crypt. 89(11), 2577–2626 (2021). https://doi.org/10.1007/s10623-021-00939-8

    Article  MathSciNet  MATH  Google Scholar 

  28. Wang, Y., Cui, Y., Huang, Q., Li, H., Huang, J., Yang, G.: Attribute-based equality test over encrypted data without random oracles. IEEE Access 8, 32891–32903 (2020)

    Article  Google Scholar 

  29. Wee, H.: Dual system encryption via predicate encodings. In: Lindell, Y. (ed.) TCC 2014. LNCS, vol. 8349, pp. 616–637. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-642-54242-8_26

    Chapter  Google Scholar 

  30. Xagawa, K.: Improved (Hierarchical) inner-product encryption from lattices. In: Kurosawa, K., Hanaoka, G. (eds.) PKC 2013. LNCS, vol. 7778, pp. 235–252. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-36362-7_15

    Chapter  Google Scholar 

  31. Yamada, S., Attrapadung, N., Hanaoka, G., Kunihiro, N.: Generic constructions for chosen-ciphertext secure attribute based encryption. In: Catalano, D., Fazio, N., Gennaro, R., Nicolosi, A. (eds.) PKC 2011. LNCS, vol. 6571, pp. 71–89. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-19379-8_5

    Chapter  Google Scholar 

  32. Yang, G., Tan, C.H., Huang, Q., Wong, D.S.: Probabilistic public key encryption with equality test. In: Pieprzyk, J. (ed.) CT-RSA 2010. LNCS, vol. 5985, pp. 119–131. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-11925-5_9

    Chapter  Google Scholar 

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Acknowledgments

This work is supported by JSPS KAKENHI Grant Numbers JP21H03441, JP18H05289, and JP18K11293, and MEXT Leading Initiative for Excellent Young Researchers, JST CREST JPMJCR2113, Japan.

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Authors and Affiliations

  1. The University of Electro-Communications, 1-5-1, Chofugaoka, Chofu, Tokyo, 182-8585, Japan

    Kyoichi Asano & Yohei Watanabe

  2. National Institute of Information and Communications Technology, 4-2-1, Nukui-Kitamachi, Koganei, Tokyo, 184-8795, Japan

    Kyoichi Asano, Keita Emura & Yohei Watanabe

  3. The University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan

    Atsushi Takayasu

Authors
  1. Kyoichi Asano
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Correspondence to Kyoichi Asano .

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Editors and Affiliations

  1. Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Chunpeng Ge

  2. University of Wollongong, Wollongong, NSW, Australia

    Fuchun Guo

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Asano, K., Emura, K., Takayasu, A., Watanabe, Y. (2022). A Generic Construction of CCA-Secure Attribute-Based Encryption with Equality Test. In: Ge, C., Guo, F. (eds) Provable and Practical Security. ProvSec 2022. Lecture Notes in Computer Science, vol 13600. Springer, Cham. https://doi.org/10.1007/978-3-031-20917-8_1

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  • DOI: https://doi.org/10.1007/978-3-031-20917-8_1

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