Compact hierarchical identity-based encryption based on a harder decisional problem

References

• M. Abdalla, E. Kiltz, and G. Neven, Generalized key delegation for hierarchical identity-based encryption, in Proceedings of ESORICS 2007, J. Biskup and J. Lopez, eds., LNCS Vol. 4734, Springer-Verlag, Berlin, 2007, pp. 139–154.
   Google Scholar
• F. Bao, R.H. Deng, and H. Zhu, Variations of Diffie-Hellman problem, in Proceedings of ICICS 2003, S. Qing, D. Gollmann, and J. Zhou, eds., LNCS Vol. 2836, Springer-Verlag, Berlin, 2003, pp. 301–312.
   Google Scholar
• M. Burmester, Y. Desmedt, and J. Seberry, Equitable key Escrow with limited time span (or, how to enforce time expiration cryptographically), in Proceedings of ASIACRYPT 1998, K. Ohta and D. Pei, eds., LNCS Vol. 1514, Springer-Verlag, Berlin, 1998, pp. 380–391.
   Google Scholar
• D. Boneh and X. Boyen, Efficient Selective-ID Secure identity based encryption without random oracles, in Proceedings of EUROCRYPT 2004, C. Cachin and J. Camenisch, eds., LNCS Vol. 3027, Springer-Verlag, Berlin, 2004, pp. 223–238.
   Google Scholar
• D. Boneh and M.K. Franklin, Identity-based encryption from the weil pairing, in Proceedings of CRYPTO 2001, J. Kilian, ed., LNCS Vol. 2139, Springer-Verlag, Berlin, 2001, pp. 213–229.
   Google Scholar
• D. Boneh, X. Boyen, and E. Goh, Hierarchical identity based encryption with constant size ciphertext, in Proceedings of EUROCRYPT 2005, R. Cramer, ed., LNCS Vol. 3027, Springer-Verlag, Berlin, 2005, pp. 440–456.
   Google Scholar
• R. Canetti, S. Halevi, and J. Katz, A forward-secure public-key encryption scheme, in Proceedings of EUROCRYPT 2003, C. Cachin and J. Camenisch, eds., LNCS Vol. 2656, Springer-Verlag, Berlin, 2003, pp. 255–271.
   Google Scholar
• J.H. Cheon, Security analysis of the strong Diffie-Hellman problem, in Proceedings of EUROCRYPT 2006, S. Vaudenay, ed., LNCS Vol. 4004, Springer-Verlag, Berlin, 2006, pp. 1–11.
   Google Scholar
• J.H. Cheon, Discrete logarithm problems with auxiliary inputs, J. Cryptology 23(3) (2010), pp. 457–476. doi: 10.1007/s00145-009-9047-0
   Web of Science ®Google Scholar
• C. Gentry and A. Silverberg, Hierarchical ID-based cryptography, in Proceedings of ASIACRYPT 2002, Y. Zheng, ed., LNCS Vol. 2501, Springer-Verlag, Berlin, 2002, pp. 548–566.
   Google Scholar
• J. Horwitz and B. Lynn, Toward hierarchical identity-based encryption, in Proceedings of EUROCRYPT 2002, L.R. Knudsen, ed., LNCS Vol. 2332, Springer-Verlag, Berlin, 2002, pp. 466–481.
   Google Scholar
• A. Joux, A one round protocol for tripartite Diffie-Hellman, in Proceedings of ANTS 2000, W. Bosma, ed., LNCS Vol. 1838, Springer-Verlag, Berlin, 2000, pp. 385–394.
   Google Scholar
• E. Kiltz, A tool box of cryptographic functions related to the Diffie-Hellman function, in Proceedings of INDOCRYPT 2001, C. Pandu Rangan and C. Ding, eds., LNCS Vol. 2247, Springer-Verlag, Berlin, 2001, pp. 339–350.
   Google Scholar
• E. Kiltz, On the limitations of the spread of an IBE-to-PKE transformation, in Proceedings of PublicKey Cryptography 2006, M.Yung, Y. Dodis, A. Kiayias, and T. Malkin, eds., LNCS, Vol. 3958, Springer-Verlag, Berlin, 2006, pp. 274–289.
   Google Scholar
• E. Kiltz and A. Winterhof, Polynomial interpolation of cryptographic functions related to Diffie-Hellman and discrete logarithm problem, Discrete Appl. Math. 154(2) (2006), pp. 326–336. doi: 10.1016/j.dam.2005.03.030
   Web of Science ®Google Scholar
• B. Libert and D. Vergnaud, Unidirectional chosen-ciphertext secure proxy re-encryption, in Proceedings of Public Key Cryptography 2008, R. Cramer, ed., LNCS Vol. 5209, Springer-Verlag, Berlin, 2008, pp. 360–379.
   Google Scholar
• J.H. Seo, T. Kobayashi, M. Ohkubo, and K. Suzuki, Anonymous hierarchical identity-based encryption with constant size ciphertexts, in Proceedings of Public Key Cryptography 2009, S. Jarecki and G. Tsudik, eds., LNCS Vol. 5443, Springer-Verlag, Berlin, 2009, pp. 215–234.
   Google Scholar
• A. Shamir, Identity-based cryptosystems and Signature schemes, in Proceedings of CRYPTO 1984, G.R. Blakley and D. Chaum, eds., LNCS Vol. 196, Springer-Verlag, Berlin, 1984, pp. 47–53.
   Google Scholar
• E. Shi and B. Waters, Delegating capabilities in predicate encryption systems, in Proceedings of ICALP 2008, L. Aceto, I. Damgård, L.A. Goldberg, M.M. Halldórsson, A. Ingólfsdóttir, and I. Walukiewicz, eds., LNCS Vol. 5126, Springer-Verlag, Berlin, 2008, pp. 560–578.
   Google Scholar
• E.R. Verheul, Evidence that XTR is more secure than supersingular elliptic curve cryptosystems, J. Cryptology 17(4) (2004), pp. 277–296. doi: 10.1007/s00145-004-0313-x
   Web of Science ®Google Scholar
• S. Wolf, Information-theoretically and computationally secure key agreement in cryptography, Ph.D. diss., ETH Zürich, 1999.
   Google Scholar