Skip to main content

Fast Hardware of Booth-Barrett’s Modular Multiplication for Efficient Cryptosystems

  • Conference paper
Computer and Information Sciences - ISCIS 2003 (ISCIS 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2869))

Included in the following conference series:

  • 696 Accesses

Abstract

Modular multiplication is fundamental to several public-key cryptography systems such as the RSA encryption system. It is also the most dominant part of the computation performed in such systems. The operation is time consuming for large operands. This paper examines the characteristics of yet another architecture to implement modular multiplication. An experimental modular multiplier prototype is described in VHDL and simulated. The simulation results are presented.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Rivest, R., Shamir, A., Adleman, L.: A method for obtaining digital signature and public-key cryptosystems. Communications of the ACM 21, 120–126 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  2. Brickell, E.F.: A survey of hardware implementation of RSA. In: Proc. of CRYPTO 1998. LNCS, vol. 435, pp. 368–370. Springer, Heidelberg (1989)

    Google Scholar 

  3. Walter, C.D.: Systolic modular multiplication. IEEE Transactions on Computers 42(3), 376–378 (1993)

    Article  Google Scholar 

  4. Eldridge, S.E., Walter, C.D.: Hardware implementation of Montgomery’s Modular Multiplication Algorithm. IEEE Transactions on Computers 42(6), 619–624 (1993)

    Article  Google Scholar 

  5. Rabaey, J.: Digital integrated circuits: A design perspective. Prentice-Hall, Englewood Cliffs (1995)

    Google Scholar 

  6. Booth, A.: A signed binary multiplication technique. Journal of Mechanics and Applied Mathematics, 236–240 (1951)

    Google Scholar 

  7. MacSorley, O.: High-speed arithmetic in binary computers. In: Proc. of the IRE, pp. 67–91 (1961)

    Google Scholar 

  8. Barrett, P.: Implementating the Rivest, Shamir and Aldham public-key encryption algorithm on standard digital signal processor. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 311–323. Springer, Heidelberg (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nedjah, N., de Macedo Mourelle, L. (2003). Fast Hardware of Booth-Barrett’s Modular Multiplication for Efficient Cryptosystems. In: Yazıcı, A., Şener, C. (eds) Computer and Information Sciences - ISCIS 2003. ISCIS 2003. Lecture Notes in Computer Science, vol 2869. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39737-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-39737-3_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20409-1

  • Online ISBN: 978-3-540-39737-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics