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Cryptanalysis of Polynomial Authentication and Signature Scheme

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1841))

Abstract

Polynomial Authentication and Signature Scheme (PASS) is a new public key authentication and signature scheme proposed by NTRU Cryptosystems Inc. It is based on the hard problems related to constrained polynomial evaluation. In this paper, we break PASS with the proposed parameters. We show how to forge valid authentication transcripts or digital signatures in PASS with knowledge of the public key only and without knowing any previous authentication transcripts or signatures.

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References

  1. Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: A New High Speed Public Key Cryptosystem, presented at the rump session of Crypto 1996 (1996) (preprint)

    Google Scholar 

  2. Hoffstein, J., Pipher, J., Silverman, J.H.: NTRU: A Ring Based Public Key System. In: Proceedings of ANTS III, Porland, Springer, Heidelberg (1998)

    Google Scholar 

  3. Hoffstein, J., Lieman, D., Silverman, J.H.: Polynomial Rings and Efficient Public Key Authentication. In: Blum, M., Lee, C.H. (eds.) Proceedings of International Workshop on Cryptographic Techniques and E-Commerce, Hong Kong, July 5-8, pp. 7–19 (1999), Also available at http://www.ntru.com/ documentcenter.htm

    Google Scholar 

  4. Coppersmith, D., Shamir, A.: Lattice Attacks on NTRU, presented at. Eurocrypt 1997, April 5 (1997) (preprint)

    Google Scholar 

  5. Hall, C., Goldberg, I., Schneier, B.: Reaction Attacks Against Several Public-Key Cryptosystems (April 1999) (preprint), available at http://www.counterpane.com

  6. Lenstra, A.K., Lenstra Jr., H.W., Lovsz, L.: Factoring Polynomials with Rational Coefficients. Mathematische Ann. 261, 513–634 (1982)

    Google Scholar 

  7. Schnorr, C.P.: A Hierarchy of Polynomial Time Lattice Basis Reduction Algorithms. Proceedings of Theoretical Computer Science 53, 201–224 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  8. Schnorr, C.P.: A More Efficient Algorithm for Lattice Basis Reduction. J. Algorithms 9, 47–62 (1988)

    Article  MATH  MathSciNet  Google Scholar 

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© 2000 Springer-Verlag Berlin Heidelberg

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Wu, H., Bao, F., Ye, D., Deng, R.H. (2000). Cryptanalysis of Polynomial Authentication and Signature Scheme. In: Dawson, E.P., Clark, A., Boyd, C. (eds) Information Security and Privacy. ACISP 2000. Lecture Notes in Computer Science, vol 1841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10718964_23

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  • DOI: https://doi.org/10.1007/10718964_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67742-0

  • Online ISBN: 978-3-540-45030-6

  • eBook Packages: Springer Book Archive

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