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New Paradigms for Digital Signatures and Message Authentication Based on Non-Interactive Zero Knowledge Proofs

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Part of the Lecture Notes in Computer Science book series (LNCS,volume 435)


Using non-interactive zero knowledge proofs we provide a simple new para- digm for diǵital signing and message authentication secure against adaptive chosen message attack.

For digital signatures we require that the non-interactive zero knowledge proofs be publicly verifiable: they should be checkable by anyone rather than directed at a particular verifier. We accordingly show how to implement non- interactive zero knowledge proofs in a network which have the property that anyone in the network can individually check correctness while the proof is zero knowledge to any sufficiently small coalition. This enables us to implement signatures which are history independent.

Supported in part by NSF grant CCR-87-19689 and DARPA Contract N00014-89-J-1988

Supported in part by NSF grant CCR-86-57527, DARPA Contract N00014-89-J-1988, and by a US Israel binationaj grant


  1. Bellaxe, M., and S. Micali, “How to Sign Given Any Trapdoor Function,” STOC 88.

    Google Scholar 

  2. Bellare, M., and S. Micali, “Non-Interactive Oblivious Transfer and Applications,” CRYPTO 89.

    Google Scholar 

  3. Blum, M., P. Feldman and S. Micali, “Non-Interactive Zero Knowledge and its Applications,” STOC 88.

    Google Scholar 

  4. Chaum, D. and H. Van Antwerpen, “Undeniable Signatures,” CRYPTO 89.

    Google Scholar 

  5. De Santis, A., G. Persiano and S. Micali, “Non-Interactive Zero Knowledge Proof Systems,” CRYPTO 87.

    Google Scholar 

  6. Even, S., O. Goldreich and S. Micali, “On-line/Off-line Digital Signatures,” CRYPTO 89.

    Google Scholar 

  7. Feige, U., personal communication, September 1989.

    Google Scholar 

  8. Feige, U. and A. Shamir, “Zero Knowledge Proofs of Knowledge in two Rounds,” CRYPTO 89.

    Google Scholar 

  9. Goldreich, O., “Two Remarks Concerning the GMR Signature Scheme,” MIT Laboratory for Computer Science Technical Report 715, (September 1986).

    Google Scholar 

  10. Goldwasser, S., and S. Micali, “Probabalistic Encryption,” Journal of Computer and System Sciences 28 (April 1984), 270–299.

    MATH  CrossRef  MathSciNet  Google Scholar 

  11. Goldreich, O., S. Goldwasser, and S. Micali, “How To Construct Random Functions,” Journal of the Association for Computing Machinery, Vol. 33, No. 4 (October 1986), 792–807.

    MathSciNet  Google Scholar 

  12. Goldwasser, S., S. Micali and R. Rivest, “A Digital Signature Scheme Secure Against Adaptive Chosen-Message Attacks,” SIAM Journal on Computing, vol. 17, No. 2, (April 1988), 281–308.

    MATH  CrossRef  MathSciNet  Google Scholar 

  13. Impagliazzo, R., L. Levin, and M. Luby, “Pseudo-Random Generation from One-Way Functions,” STOC 89.

    Google Scholar 

  14. Kilian, J., “Founding Cryptography on Oblivious Transfer,” STOC 88.

    Google Scholar 

  15. Kilian, J., S. Micali and R. Ostrovsky, “Efficient Zero Knowledge Proofs with Bounded Interaction,” CRYPTO 89.

    Google Scholar 

  16. Micali, S., personal communication, April 1989.

    Google Scholar 

  17. Micali, S., personal communication, August 1989.

    Google Scholar 

  18. Naor, M., “Bit Committment using Pseudo-Randomness,” CRYPTO 89.

    Google Scholar 

  19. Naor, M., and M. Yung, “Universal One-Way Hash Functions and their Cryptographic Applications,” STOC 89.

    Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Bellare, M., Goldwasser, S. (1990). New Paradigms for Digital Signatures and Message Authentication Based on Non-Interactive Zero Knowledge Proofs. In: Brassard, G. (eds) Advances in Cryptology — CRYPTO’ 89 Proceedings. CRYPTO 1989. Lecture Notes in Computer Science, vol 435. Springer, New York, NY.

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97317-3

  • Online ISBN: 978-0-387-34805-6

  • eBook Packages: Springer Book Archive

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