Skip to main content
SpringerLink
Log in

Improving the Exact Security of Fiat-Shamir Signature Schemes

  • Conference paper
  • First Online:
Secure Networking — CQRE [Secure] ’ 99 (CQRE 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1740))

Included in the following conference series:

Abstract

We provide two contributions to exact security analysis of digital signatures: 1. We put forward a new method of constructing Fiat-Shamir-like signature schemes that yields better “exact security” than the original Fiat-Shamir method; and 2. We extend exact security analysis to exact cost-security analysis by showing that digital signature schemes with “loose security” may be preferable for reasonable measures of cost.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Mihir Bellare and Sara Miner. A forward-secure digital signature scheme. In Michael Wiener, editor, Advances in Cryptology—CRYPTO’ 99, volume 1666 of Lecture Notes in Computer Science. Springer-Verlag, 15-19 August 1999. Revised version is available from http://www.cs.ucsd.edu/mihir/.

    Google Scholar 

  2. Mihir Bellare and Phillip Rogaway. Random oracles are practical: A paradigm for designing efficient protocols. In Proceedings of the 1st ACM Conference on Computer and Communication Security, November 1993. Revised version appears in http://www.cse.ucsd.edu/users/mihir/papers/crypto-papers.html.

  3. Mihir Bellare and Phillip Rogaway. The exact security of digital signatures: How to sign with RSA and Rabin. In Maurer [Mau96], pages 399–416. Revised version appears in http://www.cse.ucsd.edu/users/mihir/papers/crypto-papers.html.

  4. I. B. Damgård, editor. Advances in Cryptology—EUROCRYPT 90, volume 473 of Lecture Notes in Computer Science. Springer-Verlag, 1991, 21-24 May 1990.

    MATH  Google Scholar 

  5. Uriel Feige, Amos Fiat, and Adi Shamir. Zero-knowledge proofs of identity. Journal of Cryptology, 1(2):77–94, 1988.

    Article  MATH  MathSciNet  Google Scholar 

  6. Amos Fiat and Adi Shamir. How to prove yourself: Practical solutions to identification and signature problems. In Odlyzko [Odl86], pages 186–194.

    Google Scholar 

  7. Shafi Goldwasser, Silvio Micali, and Ronald L. Rivest. A digital signature scheme secure against adaptive chosen-message attacks. SIAM Journal on Computing, 17(2):281–308, April 1988.

    Article  MATH  MathSciNet  Google Scholar 

  8. Oded Goldreich. Two remarks concerning the Goldwasser-Micali-Rivest signature scheme. In Odlyzko [Odl86], pages 104–110.

    Google Scholar 

  9. S. Goldwasser, editor. Advances in Cryptology—CRYPTO’ 88, volume 403 of Lecture Notes in Computer Science. Springer-Verlag, 1990, 21-25 August 1988.

    MATH  Google Scholar 

  10. Louis Claude Guillou and Jean-Jacques Quisquater. A “paradoxical” indentity-based signature scheme resulting from zero-knowledge. In Goldwasser [Gol88], pages 216–231.

    Google Scholar 

  11. A. Lenstra and H. Lenstra, editors. The development of the number field sieve, volume 1554 of Lecture notes in Mathematics. Springer-Verlag, 1993.

    Google Scholar 

  12. Ueli Maurer, editor. Advances in Cryptology—EUROCRYPT 96, volume 1070 of Lecture Notes in Computer Science. Springer-Verlag, 12-16 May 1996.

    Book  MATH  Google Scholar 

  13. Silvio Micali. A secure and efficient digital signature algorithm. Technical Report MIT/LCS/TM-501, Massachusetts Institute of Technology, Cambridge, MA, March 1994.

    Google Scholar 

  14. Silvio Micali and Adi Shamir. An improvement of the Fiat-Shamir identification and signature scheme. In Goldwasser [Gol88], pages 244–247.

    Google Scholar 

  15. A. M. Odlyzko, editor. Advances in Cryptology—CRYPTO’ 86, volume 263 of Lecture Notes in Computer Science. Springer-Verlag, 1987, 11-15 August 1986.

    MATH  Google Scholar 

  16. Tatsuaki Okamoto. Provably secure and practical identification schemes and corresponding signature schemes. In Ernest F. Brickell, editor, Advances in Cryptology—CRYPTO’ 92, volume 740 of Lecture Notes in Computer Science, pages 31–53. Springer-Verlag, 1993, 16-20 August 1992.

    Chapter  Google Scholar 

  17. Kazuo Ohta and Tatsuaki Okamoto. A modification of the Fiat-Shamir scheme. In Goldwasser [Gol88], pages 232–243.

    Google Scholar 

  18. Kazuo Ohta and Tatsuaki Okamoto. On concrete security treatment of signatures derived from identification. In Hugo Krawczyk, editor, Advances in Cryptology—CRYPTO’ 98, volume 1462 of Lecture Notes in Computer Science, pages 354–369. Springer-Verlag, 23-27 August 1998.

    Chapter  Google Scholar 

  19. H. Ong and C. P. Schnorr. Fast signature generation with a Fiat Shamir-like scheme. In Damgård [Dam90], pages 432–440.

    Google Scholar 

  20. David Pointcheval and Jacques Stern. Security proofs for signature schemes. In Maurer [Mau96], pages 387–398.

    Google Scholar 

  21. J.-J. Quisquater and J. Vandewalle, editors. Advances in Cryptology— EUROCRYPT 89, volume 434 of Lecture Notes in Computer Science. Springer-Verlag, 1990, 10-13 April 1989.

    MATH  Google Scholar 

  22. C. P. Schnorr. Efficient identification and signatures for smart cards. In Quisquater and Vandewalle [QV89], pages 688–689.

    Google Scholar 

  23. C. P. Schnorr. Security of 2t-root identification and signatures. In Neal Koblitz, editor, Advances in Cryptology—CRYPTO’ 96, volume 1109 of Lecture Notes in Computer Science, pages 143–156. Springer-Verlag, 18-22 August 1996.

    Google Scholar 

  24. Victor Shoup. On the security of a practical identification scheme. In Maurer [Mau96], pages 344–353.

    Google Scholar 

  25. Hugh C. Williams. A modification of the RSA public-key encryption procedure. IEEE Transactions on Information Theory, IT-26(6):726–729, November 1980.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. MIT Laboratory for Computer Science, Cambridge, MA, 02139, USA

    Silvio Micali & Leonid Reyzin

Authors
  1. Silvio Micali
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Leonid Reyzin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Micali, S., Reyzin, L. (1999). Improving the Exact Security of Fiat-Shamir Signature Schemes. In: Secure Networking — CQRE [Secure] ’ 99. CQRE 1999. Lecture Notes in Computer Science, vol 1740. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46701-7_15

Download citation

  • DOI: https://doi.org/10.1007/3-540-46701-7_15

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66800-8

  • Online ISBN: 978-3-540-46701-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation