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Symmetric-Key Encryption Scheme with Multi-ciphertext Non-malleability

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Advances in Information and Computer Security (IWSEC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7631))

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Abstract

A standard notion of non-malleability is that an adversary cannot forge a ciphertext c′ from a single valid ciphertext c for which a plaintext m′ of c′ is meaningfully related to a plaintext m of c. The multi-ciphertext non-malleability is a stronger notion; an adversary is allowed to obtain multiple ciphertexts c 1,c 2,... in order to forge c′. We provide an efficient symmetric-key encryption scheme with an information-theoretic version of the multi-ciphertext non-malleability in this paper by using ℓ-wise almost independent permutations of Kaplan, Naor, and Reingold.

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References

  1. Brodsky, A., Hoory, S.: Simple permutations mix even better. Random Struct. Algorithms 32(3), 274–289 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  2. Dolev, D., Dwork, C., Naor, M.: Nonmalleable cryptography. SIAM J. Comput. 30(2), 391–437 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gowers, W.T.: An almost m-wise independent random permutation of the cube. Combinatorics, Probability & Computing 5, 119–130 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  4. Hanaoka, G.: Some Information Theoretic Arguments for Encryption: Non-malleability and Chosen-Ciphertext Security (Invited Talk). In: Safavi-Naini, R. (ed.) ICITS 2008. LNCS, vol. 5155, pp. 223–231. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. Hanaoka, G., Shikata, J., Hanaoka, Y., Imai, H.: Unconditionally secure anonymous encryption and group authentication. Comput. J. 49(3), 310–321 (2006)

    Article  Google Scholar 

  6. Hoory, S., Magen, A., Myers, S., Rackoff, C.: Simple permutations mix well. Theor. Comput. Sci. 348(2-3), 251–261 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kaplan, E., Naor, M., Reingold, O.: Derandomized constructions of k-wise (almost) independent permutations. Algorithmica 55(1), 113–133 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  8. Kawachi, A., Portmann, C., Tanaka, K.: Characterization of the Relations between Information-Theoretic Non-malleability, Secrecy, and Authenticity. In: Fehr, S. (ed.) ICITS 2011. LNCS, vol. 6673, pp. 6–24. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  9. McAven, L., Safavi-Naini, R., Yung, M.: Unconditionally Secure Encryption Under Strong Attacks. In: Wang, H., Pieprzyk, J., Varadharajan, V. (eds.) ACISP 2004. LNCS, vol. 3108, pp. 427–439. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. Pass, R., Shelat, A., Vaikuntanathan, V.: Relations Among Notions of Non-malleability for Encryption. In: Kurosawa, K. (ed.) ASIACRYPT 2007. LNCS, vol. 4833, pp. 519–535. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  11. Rees, E.G.: Notes on geometry. Springer (1983)

    Google Scholar 

  12. Reingold, O.: Undirected connectivity in log-space. J. ACM 55(4) (2008)

    Google Scholar 

  13. Russell, A., Wang, H.: How to fool an unbounded adversary with a short key. IEEE Transactions on Information Theory 52(3), 1130–1140 (2006)

    Article  MathSciNet  Google Scholar 

  14. Saks, M.E., Srinivasan, A., Zhou, S., Zuckerman, D.: Low discrepancy sets yield approximate min-wise independent permutation families. Inf. Process. Lett. 73(1-2), 29–32 (2000)

    Article  MathSciNet  Google Scholar 

  15. Shannon, C.: Communication theory of secrecy systems. Bell System Technical Journal 28(4), 656–715 (1949)

    MathSciNet  MATH  Google Scholar 

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Kawachi, A., Takebe, H., Tanaka, K. (2012). Symmetric-Key Encryption Scheme with Multi-ciphertext Non-malleability. In: Hanaoka, G., Yamauchi, T. (eds) Advances in Information and Computer Security. IWSEC 2012. Lecture Notes in Computer Science, vol 7631. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34117-5_8

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  • DOI: https://doi.org/10.1007/978-3-642-34117-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34116-8

  • Online ISBN: 978-3-642-34117-5

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