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Related Key Secure PKE from Hash Proof Systems

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Advances in Information and Computer Security (IWSEC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8639))

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Abstract

In this paper we propose a framework for constructing public key encryption against related key attacks from hash proof systems in the standard model. Compared with the construction of Wee (PKC2012), our framework avoids the use of one-time signatures. We show that the schemes presented by Jia et al. (ProvSec2013) could fit into our framework. And we give more instantiations of the proposed framework based on the QR and DCR assumptions for affine key related functions.

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References

  1. Bellare, M., Cash, D.: Pseudorandom Functions and Permutations Provably Secure against Related-Key Attacks. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 666–684. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  2. Bellare, M., Cash, D., Miller, R.: Cryptography Secure against Related-Key Attacks and Tampering. In: Lee, D.H., Wang, X. (eds.) ASIACRYPT 2011. LNCS, vol. 7073, pp. 486–503. Springer, Heidelberg (2011), Also Cryptology ePrint Archive, Report 2011/252

    Chapter  Google Scholar 

  3. Bellare, M., Kohno, T.: A Theoretical Treatment of Related-Key Attacks: RKA-PRPs, RKA-PRFs, and Applications. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 491–506. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  4. Bellare, M., Namprempre, C.: Authenticated Encryption: Relations among Notions and Analysis of the Generic Composition Paradigm. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 531–545. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  5. Bellare, M., Paterson, K.G., Thomson, S.: RKA Security beyond the Linear Barrier: IBE, Encryption and Signatures. In: Wang, X., Sako, K. (eds.) ASIACRYPT 2012. LNCS, vol. 7658, pp. 331–348. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  6. Biham, E.: New Types of Cryptanalytic Attacks Using Related Keys. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 398–409. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  7. Biham, E., Shamir, A.: Differential Fault Analysis of Secret Key Cryptosystems. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 513–525. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  8. Boneh, D.: Twenty Years of Attacks on the RSA Cryptosystem (1999)

    Google Scholar 

  9. Boneh, D., DeMillo, R.A., Lipton, R.J.: On the Importance of Checking Cryptographic Protocols for Faults (Extended Abstract). In: Fumy, W. (ed.) EUROCRYPT 1997. LNCS, vol. 1233, pp. 37–51. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  10. 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)

    Chapter  Google Scholar 

  11. Cramer, R., Shoup, V.: Universal Hash Proofs and a Paradigm for Adaptive Chosen Ciphertext Secure Public-Key Encryption. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 45–64. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  12. Cramer, R., Shoup, V.: Design and Analysis of Practical Public-Key Encryption Schemes Secure against Adaptive Chosen Ciphertext Attack. SIAM J. Compt. 33(1), 167–226 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  13. Damgård, I., Faust, S., Mukherjee, P., Venturi, D.: Bounded Tamper Resilience: How to Go beyond the Algebraic Barrier. In: Sako, K., Sarkar, P. (eds.) ASIACRYPT 2013, Part II. LNCS, vol. 8270, pp. 140–160. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  14. Groth, J.: Cryptography in Subgroups of \(\mathbb{Z}_n^*\). In: Kilian, J. (ed.) TCC 2005. LNCS, vol. 3378, pp. 50–65. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  15. Håstad, J., Impagliazzo, R., Levin, L.A., Luby, M.: A Pseudorandom Generator from any One-way Function. SIAM J. Comput. 28(4), 1364–1396 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  16. Hofheinz, D., Kiltz, E.: Secure Hybrid Encryption from Weakened Key Encapsulation. In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 553–571. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  17. Hofheinz, D., Kiltz, E.: The Group of Signed Quadratic Residues and Applications. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 637–653. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  18. Jia, D., Lu, X., Li, B., Mei, Q.: RKA Secure PKE Based on the DDH and HR Assumptions. In: Susilo, W., Reyhanitabar, R. (eds.) ProvSec 2013. LNCS, vol. 8209, pp. 271–287. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  19. Kalai, Y.T., Kanukurthi, B., Sahai, A.: Cryptography with Tamperable and Leaky Memory. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 373–390. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  20. Kiltz, E., Pietrzak, K., Stam, M., Yung, M.: A New Randomness Extraction Paradigm for Hybrid Encryption. In: Joux, A. (ed.) EUROCRYPT 2009. LNCS, vol. 5479, pp. 590–609. Springer, Heidelberg (2009); Also Cryptology ePrint Archive, 2008/304

    Chapter  Google Scholar 

  21. Knudsen, L.R.: Cryptanalysis of LOKI91. In: Seberry, J., Zheng, Y. (eds.) AUSCRYPT 1992. LNCS, vol. 718, pp. 196–208. Springer, Heidelberg (1993)

    Chapter  Google Scholar 

  22. Kurosawa, K., Desmedt, Y.: A New Paradigm of Hybrid Encryption Scheme. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 426–442. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  23. Naccache, D., Stern, J.: A New Public Key Cryptosystem based on Higher Residues. In: CCS 1998, pp. 59–66 (1998)

    Google Scholar 

  24. Paillier, P.: Public-Key Cryptosystems Based on Composite Degree Residuosity Classes. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 223–238. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  25. Wee, H.: Public Key Encryption against Related Key Attacks. In: Fischlin, M., Buchmann, J., Manulis, M. (eds.) PKC 2012. LNCS, vol. 7293, pp. 262–279. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China, 100093

    Dingding Jia, Bao Li & Xianhui Lu

  2. College of Information, Guangdong Ocean University, China

    Qixiang Mei

Authors
  1. Dingding Jia
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  2. Bao Li
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  3. Xianhui Lu
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  4. Qixiang Mei
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Editor information

Editors and Affiliations

  1. Network Security Research Institute, National Institute of Information and Communications Technology (NICT), 4-2-1 Nukui-Kitamachi, 184-8795, Koganei, Tokyo, Japan

    Maki Yoshida

  2. College of Information Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, 525-8577, Kusatsu, Shiga, Japan

    Koichi Mouri

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Jia, D., Li, B., Lu, X., Mei, Q. (2014). Related Key Secure PKE from Hash Proof Systems. In: Yoshida, M., Mouri, K. (eds) Advances in Information and Computer Security. IWSEC 2014. Lecture Notes in Computer Science, vol 8639. Springer, Cham. https://doi.org/10.1007/978-3-319-09843-2_19

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  • DOI: https://doi.org/10.1007/978-3-319-09843-2_19

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09842-5

  • Online ISBN: 978-3-319-09843-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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