Abstract
Design a secure public key encryption scheme and its security proof are one of the main interests in cryptography. In 2004, Canetti, Halevi and Katz [8] constructed a public key encryption (PKE) from a selective identity-based encryption scheme with a strong one-time signature scheme. In 2005, Boneh and Katz [6] improved Canetti-Halevi-Katz construction by replacing a strong one-time signature with a message authentication code, but it is not publicly verifiable. Later, Boyen, Mei and Waters [7] constructed PKE scheme directly from Waters’ IBE scheme [17] , which is only secure against direct chosen-ciphertext attack and is not secure against adaptive chosen-ciphertext attack. In 2006, Tan [16] further improved the efficiency of Canetti-Halevi-Katz (CHK) construction by directly from Boneh-Boyen identity based encryption (IBE) scheme [4] with a weak one-time signature. In this paper, we construct an efficient public key encryption scheme without one-time signature, which preserves a publicly verifiable property and secure against adaptive chosen-ciphertext attack. The construction of the proposed scheme is based on Boneh-Boyen identity-based encryption (IBE) scheme [2] and a trapdoor function. We also show that the proposed scheme is more efficient than CHK construction.
An erratum to this chapter can be found at http://dx.doi.org/10.1007/11915034_125.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
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)
Boneh, D., Boyen, X.: Efficient selective-id secure identity based encryption without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 223–238. Springer, Heidelberg (2004)
Boneh, D., Boyen, X.: Short signatures without random oracles. In: Cachin, C., Camenisch, J.L. (eds.) EUROCRYPT 2004. LNCS, vol. 3027, pp. 56–73. Springer, Heidelberg (2004)
Boneh, D., Canetti, R., Halevi, S., Katz, J.: Chosen-Ciphertext Security From Identity-Based Encryption. SIAM Journal on Computing (accepted) available from http://www.cs.umd.edu/~jkatz/papers/id-cca-journal/pdf
Boneh, D., Franklin, M.: Identity-based encryption from Weil pairing. SIAM J. Comput. 32(3), 586–615 (2003)
Boneh, D., Katz, J.: Improved efficiency for CCA-secure cryptosystems built using identity based encryption. In: Menezes, A. (ed.) CT-RSA 2005. LNCS, vol. 3376, pp. 87–103. Springer, Heidelberg (2005)
Boyen, X., Mei, Q., Waters, B.: Direct chosen ciphertext security from identity-based techniques. In: ACM Conference on Computer and Communications Security–CCS 2005, pp. 320–329. ACM Press, New York (2005), Full version available at http://eprint.iacr.org/2005/288
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)
Cramer, R., Shoup, V.: A practical public key cryptosystem provably secure against adaptive chosen ciphertext attack. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 13–25. Springer, Heidelberg (1998)
Cramer, R., Shoup, V.: Design and analysis of practical public-key encryption schemes secure adaptive chosen ciphertext attack. SIAM J. Comput. 33(1), 167–226 (2003)
Dolev, D., Dwork, C., Naor, M.: Non-malleable cryptography. In: The 23rd Annual ACM Symposium on Theory of Computing – STOC 1991, pp. 542–552. ACM press, New York (1991)
Kiltz, E.: On the limitation of the spread of an IBE-to-PKE transformation. In: Yung, M., Dodis, Y., Kiayias, A., Malkin, T.G. (eds.) PKC 2006. LNCS, vol. 3958, pp. 274–289. Springer, Heidelberg (2006)
MIRACL, Multiprecision integer and rational arithmetic C/C++ library, Shamus Software Ltd., available from http://indigo.ie/~mscott/
Rackoff, C., Simon, D.: Non-interactive zero-knowledge proof of knowledge and chosen ciphertext attack. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 46–64. Springer, Heidelberg (1992)
Shoup, V.: Sequences of games: a tool for taming complexity in security proofs (manuscript, 2004), available from http://eprint.iacr.org/2004/332
Tan, C.H.: Chosen ciphertext security from identity-based encryption without strong condition. In: Yoshiura, H., Sakurai, K., Rannenberg, K., Murayama, Y., Kawamura, S.-i. (eds.) IWSEC 2006. LNCS, vol. 4266, pp. 296–311. Springer, Heidelberg (2006)
Waters, B.: Efficient identity-based encryption without random oracles. In: Cramer, R.J.F. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tan, C.H. (2006). Public-Key Encryption from ID-Based Encryption Without One-Time Signature. In: Meersman, R., Tari, Z., Herrero, P. (eds) On the Move to Meaningful Internet Systems 2006: OTM 2006 Workshops. OTM 2006. Lecture Notes in Computer Science, vol 4277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11915034_68
Download citation
DOI: https://doi.org/10.1007/11915034_68
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-48269-7
Online ISBN: 978-3-540-48272-7
eBook Packages: Computer ScienceComputer Science (R0)