Abstract
Abdalla et al.[1, 6] proposed a transform of an anonymous IBE (A-IBE) scheme to a PEKS (Public key encryption with keyword search) scheme. Boneh et al. proposed a transform of a PEKS scheme to an A-IBE scheme for only one-bit message. A transform for constructing an A-IBE scheme for polynomially many-bit message by using a PEKS scheme has not been proposed yet. To construct a transform from any PEKS scheme to an A-IBE scheme for a polynomially many-bit message, we firstly define a multiple PEKS (mPEKS) scheme and show that a mPEKS scheme can be constructed from a PEKS scheme. We also prove that if a PEKS scheme is confidential, so is the resulting mPEKS scheme. We then provide a transform from a mPEKS scheme to an A-IBE scheme for a polynomially many-bit message.
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References
Abdalla, M., et al.: Searchable encryption revisited: consistency properties, relation to anonymous IBE, and extensions. J. Cryptol. 21(3), 350–391 (2008)
Boneh, D., Boyen, X.: Secure identity based encryption without random oracles. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 443–459. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-28628-8_27
Boneh, D., Boyen, X., Goh, E.-J.: Hierarchical identity based encryption with constant size ciphertext. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 440–456. Springer, Heidelberg (2005). https://doi.org/10.1007/11426639_26
Barth, A., Boneh, D., Waters, B.: Privacy in encrypted content distribution using private broadcast encryption. In: Di Crescenzo, G., Rubin, A. (eds.) FC 2006. LNCS, vol. 4107, pp. 52–64. Springer, Heidelberg (2006). https://doi.org/10.1007/11889663_4
Bellare, M., Boldyreva, A., Desai, A., Pointcheval, D.: Key-privacy in public-key encryption. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 566–582. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45682-1_33
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
Boneh, D., Franklin, M.: Identity-based encryption from the Weil pairing. SIAM J. Comput. 32(3), 586–615 (2003)
Boyen, X., Waters, B.: Anonymous hierarchical identity-based encryption (without random oracles). In: Dwork, C. (ed.) CRYPTO 2006. LNCS, vol. 4117, pp. 290–307. Springer, Heidelberg (2006). https://doi.org/10.1007/11818175_17
Boneh, D., Waters, B.: Conjunctive, subset, and range queries on encrypted data. In: Vadhan, S.P. (ed.) TCC 2007. LNCS, vol. 4392, pp. 535–554. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-70936-7_29
Gentry, C., Silverberg, A.: Hierarchical ID-based cryptography. In: Zheng, Y. (ed.) ASIACRYPT 2002. LNCS, vol. 2501, pp. 548–566. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-36178-2_34
Holt, J.E., Bradshaw, R., Seamoms, K.E., Oeman, H.: Hidden credentials. In: Proceedings of WPES 2003, pp. 1–8 (2003)
Katz, J., Lindell, Y.: Introduction to Modern Cryptography. Chapman & Hall/CRC Press (2007)
Katz, J., Sahai, A., Waters, B.: Predicate encryption supporting disjunctions, polynomial equations, and inner products. In: Smart, N. (ed.) EUROCRYPT 2008. LNCS, vol. 4965, pp. 146–162. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-78967-3_9
Park, D.J., Kim, K., Lee, P.J.: Public key encryption with conjunctive field keyword search. In: Lim, C.H., Yung, M. (eds.) WISA 2004. LNCS, vol. 3325, pp. 73–86. Springer, Heidelberg (2005). https://doi.org/10.1007/978-3-540-31815-6_7
Rhee, H.S., Park, J.H., Susilo, W., Lee, D.H.: Improved searchable public key encryption with designated tester. In: Proceedings of ASIACCS 2009, pp. 376–379 (2009)
Rhee, H.S., Susilo, W., Kim, H.J.: Secure searchable public-key encrytion against keyword guessing attacks. IEICE Electron. Express 6(5), 237–243 (2009)
Shamir, A.: Identity-based cryptosystems and signature schemes. In: Blakley, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 47–53. Springer, Heidelberg (1985). https://doi.org/10.1007/3-540-39568-7_5
Seo, J.H., Kobayashi, T., Ohkubo, M., Suzuki, K.: Anonymous hierarchical identity-based encryption with constant size ciphertexts. In: Jarecki, S., Tsudik, G. (eds.) PKC 2009. LNCS, vol. 5443, pp. 215–234. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-00468-1_13
Waters, B.: Efficient identity-based encryption without random oracles. In: Cramer, R. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005). https://doi.org/10.1007/11426639_7
Byun, J.W., Rhee, H.S., Park, H.-A., Lee, D.H.: Off-line keyword guessing attacks on recent keyword search schemes over encrypted data. In: Jonker, W., Petković, M. (eds.) SDM 2006. LNCS, vol. 4165, pp. 75–83. Springer, Heidelberg (2006). https://doi.org/10.1007/11844662_6
Fang, L., Susilo, W., Ge, C., Wang, J.: Public key encryption with keyword search secure against keyword guessing attacks without random oracle. Inf. Sci. 238, 221–241 (2013)
Huang, Q., Li, H.: An efficient public-key searchable encryption scheme secure against inside keyword guessing attacks. Inf. Sci. 403, 1–14 (2017)
Lu, Y., Wang, G., Li, J.: Keyword guessing attacks on a public key encryption with keyword search scheme without random oracle and its improvement. Inf. Sci. 479, 270–276 (2019)
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Rhee, H.S., Lee, D.H. (2021). Anonymous IBE from PEKS: A Generic Construction. In: Kim, H. (eds) Information Security Applications. WISA 2021. Lecture Notes in Computer Science(), vol 13009. Springer, Cham. https://doi.org/10.1007/978-3-030-89432-0_9
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