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A New Public-Key Encryption Scheme

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Abstract

This paper proposes a new public-key encryption scheme which removes one element from the public-key tuple of the original Cramer-Shoup scheme. As a result, a ciphertext is not a quadruple but a triple at the cost of a strong assumption, the third version of knowledge of exponent assumption (KEA3). Under assumptions of KEA3, a decision Diffie-Hellman (DDH) and a variant of target collision resistance (TCRv), the new scheme is proved secure against indistinguishable adaptive chosen ciphertext attack (IND-CCA2). This scheme is as efficient as Damgård ElGamal (DEG) scheme when it makes use of a well-known algorithm for product of exponentiations. The DEG scheme is recently proved IND-CCA1 secure by Bellare and Palacio in ASIACRYPT 2004 under another strong assumption. In addition to our IND-CCA2 secured scheme, we also believe that the security proof procedure itself provides a well insight for ElGamal-based encryption schemes which are secure in real world.

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References

  1. Ronald Cramer, Victor Shoup. A practical public-key cryptosystem provable secure against adaptive chosen ciphertext attack. Lecture Notes in Computer Science, Krawczyk H (ed.), Springer-Verlag, 1998, 1462: 13–15.

  2. Ran Canetti, Oded Goldreich, Shai Halevi. The random oracle methodology, revisited. J. the ACM, 2004, 51(4): 557–594.

  3. Mihir Bellare, Alexandra Boldyreva, Adriana Palacio. A uninstantiable random-oracle-model scheme for a hybrid-encryption problem. Lecture Notes in Computer Science, Cachin C, Camenisch J (eds.), Springer-Verlag, 2004, 3027: 171–188.

  4. Taher Elgamal. A public-key cryptosystem and a signature scheme based on discrete logarithms. IEEE Transactions on Information Theory, 1985, 31(4): 469–472.

    Google Scholar 

  5. Mao Wenbo. Modern cryptography: Theory and Practice. Prentice-Hall PTR, 2003.

  6. Ronald Cramer, Victor Shoup. Design and analysis of practical public-key encryption schemes secure against adaptive chosen ciphertext attack. SIAM Journal on Computing, 2003, 33(1): 167–226.

    Google Scholar 

  7. Shafi Goldwasser, Silvio Micali. Probabilistic encryption. J. Computer and System Sciences, 1984, 28(2): 270–299.

  8. Naor M, Yung M. Public-key cryptosystems provably secure against chosen ciphertext attacks. In Proc. 22nd ACM Symp. Theory of Computing, Baltimore, Maryland, May 1990, pp. 427–437.

  9. Charles Rackoff, Daniel Simon. Non-interactive zero-knowledge proof of knowledge and chosen ciphertext attack. Lecture Notes in Computer Science, Feigenbaum J (ed.), Springer-Verlag, 1992, 576: 433–444.

  10. Yiannis Tsiounis, Moti Yung. On the security of ElGamal based encryption. Lecture Notes in Computer Science, Lmai H, Zheng Y (eds.), Springer-Verlag, 1998, 1431: 117–135.

  11. Mihir Bellare, Adriana Palacio. The knowledge-of-exponent assumptions and 3-round zero knowledge protocols. Lecture Notes in Computer Science, Franklin M (ed.), Springer-Verlag, 2004, 3152: 273–289.

  12. Ivan Damgård. Towards practical public key systems secure against chosen ciphertext attacks. Lecture Notes in Computer Science, Feigenbaum J (ed.), Springer-Verlag 1992, 576: 445–456.

  13. Satoshi Hada, Toshiaki Tanaka. On the existence of 3-round zero-knowledge protocols. IACR Cryptology ePrint Archive, Report 1999/009, 1999. Available at http://eprint.iacr.org/1999/009/. An earlier version of this paper appears in Lecture Notes in Computer Science, Krawczyk H (ed.), Springer-Verlag, 1998, 1462: 408–423.

  14. Mihir Bellare, Adriana Palacio. Towards plaintext-aware public-key encryption without random oracles (full version). IACR Cryptology ePrint Archive, Report 2004/221, 2004. Available at http:// eprint.iacr.org/2004/221/. An extended abstract of this paper appears in Lecture Notes in Computer Science, Lee P J (ed.), Springer-Verlag 2004, 3329: 48–62.

  15. Moni Naor. On cryptographic assumptions and challenges. Lecture Notes in Computer Science, Boneh D (ed.), Springer-Verlag, 2003, 2729: 96–109.

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Authors and Affiliations

  1. State Key Laboratory on ISN, Xidian University, Xi’an, 710071, China

    Hai-Bo Tian, Xi Sun & Yu-Min Wang

Authors
  1. Hai-Bo Tian
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  2. Xi Sun
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  3. Yu-Min Wang
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Corresponding author

Correspondence to Hai-Bo Tian.

Additional information

Supported by the National Grand Fundamental Research 973 Program of China under Grant No. 1999035803 and the National Natural Science Foundation of China under Grant No. 60473027.

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Tian, HB., Sun, X. & Wang, YM. A New Public-Key Encryption Scheme. J Comput Sci Technol 22, 95–102 (2007). https://doi.org/10.1007/s11390-007-9013-y

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  • DOI: https://doi.org/10.1007/s11390-007-9013-y

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