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Fully Collusion Secure Dynamic Broadcast Encryption with Constant-Size Ciphertexts or Decryption Keys

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Pairing-Based Cryptography – Pairing 2007 (Pairing 2007)

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Abstract

This paper puts forward new efficient constructions for public-key broadcast encryption that simultaneously enjoy the following properties: receivers are stateless; encryption is collusion-secure for arbitrarily large collusions of users and security is tight in the standard model; new users can join dynamically i.e. without modification of user decryption keys nor ciphertext size and little or no alteration of the encryption key.We also show how to permanently revoke any subgroup of users. Most importantly, our constructions achieve the optimal bound of O(1)-size either for ciphertexts or decryption keys, where the hidden constant relates to a couple of elements of a pairing-friendly group. Our broadcast-KEM trapdoor technique, which has independent interest, also provides a dynamic broadcast encryption system improving all previous efficiency measures (for both execution time and sizes) in the private-key setting.

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References

  1. Boneh, D., Boyen, X., Goh, E.-J.: Hierarchical identity based encryption with constant size ciphertext. In: Cramer, R.J.F. (ed.) EUROCRYPT 2005. LNCS, vol. 3494, pp. 440–456. Springer, Heidelberg (2005), Extended version available at http://eprint.iacr.org/2005/015

    Google Scholar 

  2. Boneh, D., Franklin, M.K.: 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 

  3. Boneh, D., Gentry, C., Waters, B.: Collusion resistant broadcast encryption with short ciphertexts and private keys. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 258–275. Springer, Heidelberg (2005)

    Google Scholar 

  4. Dodis, Y., Fazio, N.: Public key trace and revoke scheme secure against adaptive chosen ciphertext attack. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 100–115. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  5. Fiat, A., Naor, M.: Broadcast encryption. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 480–491. Springer, Heidelberg (1994)

    Google Scholar 

  6. Fujisaki, E., Okamoto, T.: How to enhance the security of public-key encryption at minimum cost. In: Imai, H., Zheng, Y. (eds.) PKC 1999. LNCS, vol. 1560, pp. 53–68. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  7. Fujisaki, E., Okamoto, T.: Secure integration of asymmetric and symmetric encryption schemes. In: Wiener, M.J. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 537–554. Springer, Heidelberg (1999)

    Google Scholar 

  8. Goodrich, M.T., Sun, J.Z., Tamassia, R.: Efficient tree-based revocation in groups of low-state devices. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 511–527. Springer, Heidelberg (2004)

    Google Scholar 

  9. Halevy, D., Shamir, A.: The LSD broadcast encryption scheme. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 47–60. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  10. Joux, A.: A one round protocol for tripartite Diffie-Hellman. In: ANTS 2000, pp. 385–394 (2000)

    Google Scholar 

  11. Joux, A., Nguyen, K.: Separating decision Diffie-Hellman from computational diffie-hellman in cryptographic groups. Journal of Cryptology 16(4), 239–247 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  12. Miyaji, A., Nakabayashi, M., Takano, S.: Characterization of elliptic curve traces under fr-reduction. In: ICISC 2000, pp. 90–108 (2000)

    Google Scholar 

  13. Miyaji, A., Nakabayashi, M., Takano, S.: New explicit conditions of elliptic curve traces for fr-reduction. IEICE Transactions on Fundamentals, E84-A(5), 1234–1243 (2001)

    Google Scholar 

  14. Naor, D., Naor, M., Lotspiech, J.: Revocation and tracing schemes for stateless receivers. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 41–62. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  15. Okamoto, T., Pointcheval, D.: REACT: Rapid Enhanced-security Asymmetric Cryptosystem Transform. In: Naccache, D. (ed.) CT-RSA 2001. LNCS, vol. 2020, pp. 159–175. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

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Tsuyoshi Takagi Tatsuaki Okamoto Eiji Okamoto Takeshi Okamoto

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© 2007 Springer-Verlag Berlin Heidelberg

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Delerablée, C., Paillier, P., Pointcheval, D. (2007). Fully Collusion Secure Dynamic Broadcast Encryption with Constant-Size Ciphertexts or Decryption Keys. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds) Pairing-Based Cryptography – Pairing 2007. Pairing 2007. Lecture Notes in Computer Science, vol 4575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73489-5_4

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  • DOI: https://doi.org/10.1007/978-3-540-73489-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73488-8

  • Online ISBN: 978-3-540-73489-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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