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How to Enhance the Security of Public-Key Encryption at Minimum Cost

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Public Key Cryptography (PKC 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1560))

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Abstract

This paper presents a simple and efficient conversion from a semantically secure public-key encryption scheme against passive adversaries to a non-malleable (or semantically secure) public-key encryption scheme against adaptive chosenciphertext attacks (active adversaries) in the random oracle model. Since our conversion requires only one random (hash) function operation, the converted scheme is almost as efficient as the original one, when the random function is replaced by a practical hash function such as SHA-1 and MD5. We also give a concrete analysis of the reduction for proving its security, and show that our security reduction is (almost) optimally efficient. Finally this paper gives some practical examples of applying this conversion to some practical and semantically secure encryption schemes such as the ElGamal, Blum-Goldwasser and Okamoto-Uchiyama schemes [4,7,9].

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References

  1. M. Bellare and P. Rogaway,“Random Oracles are Practical: A Paradigm for Designing Efficient Protocols”, Proc. of the First ACM Conference on Computer and Communications Security, pp. 62–73.

    Google Scholar 

  2. M. Bellare and P. Rogaway, “Optimal Asymmetric Encryption—How to encrypt with RSA” Advances in Cryptology-EUROCRYPT’94.

    Google Scholar 

  3. M. Bellare, A. Desai, D. Pointcheval, and P. Rogaway, “Relations Among Notions of Security for Public-Key Encryption Schemes” Advances in Cryptology-CRYPTO’98.

    Google Scholar 

  4. M. Blum, and S. Goldwasser, “An efficient probabilistic public-key encryption scheme which hides all partial information”, Proceeding of Crypto’84, LNCS 196, Springer-Verlag, pp. 289–299 (1985).

    Google Scholar 

  5. R. Cramer and V. Shoup, “A practical public key cryptosystem provably secure against adaptive chosen message attack”, Advances in Cryptology-CRYPTO’98, Springer-Verlag, 1998.

    Google Scholar 

  6. D. Dolev and C. Dwork and M. Naor, “Non-malleable cryptography”, Proceeding of STOC91, pp 542–552.

    Google Scholar 

  7. T. ElGamal, “A Public Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms,” IEEE Transactions on Information Theory, IT-31,4, pp. 469–472, 1985.

    Article  MathSciNet  Google Scholar 

  8. S. Goldwasser, and S. Micali, “Probabilistic Encryption” JCSS, vol. 28, pp. 270–299, 1984.

    MATH  MathSciNet  Google Scholar 

  9. T. Okamoto, and S. Uchiyama, “A New Public-Key Cryptosystem as Secure as Factoring”, Advances in Cryptology-EUROCRYPT’98, Springer-Verlag, 1998.

    Google Scholar 

  10. R. Rivest, A. Shamir and L. Adleman, “A Method for Obtaining Digital Signatures and Public Key Cryptosystems”, Communications of ACM, 21,2, pp. 120–126, 1978.

    Article  MATH  MathSciNet  Google Scholar 

  11. Y. Tsiounis and M. Yung, “On the Security of ElGamal based Encryption”, PKC’98, January, 1998.

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Fujisaki, E., Okamoto, T. (1999). How to Enhance the Security of Public-Key Encryption at Minimum Cost. In: Public Key Cryptography. PKC 1999. Lecture Notes in Computer Science, vol 1560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49162-7_5

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  • DOI: https://doi.org/10.1007/3-540-49162-7_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65644-9

  • Online ISBN: 978-3-540-49162-0

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