Skip to main content
SpringerLink
Log in

On the Implementation of a Pairing-Based Cryptographic Protocol in a Constrained Device

  • Conference paper
Book cover Pairing-Based Cryptography – Pairing 2012 (Pairing 2012)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7708))

Included in the following conference series:

Abstract

In this paper, we consider a pairing-based cryptographic protocol and the way to implement it on a restricted device such as a mobile phone or a smart card. Our aim is to show the different ways to do it, regarding (i) the capacity for the restricted device to implement a bilinear pairing and/or (ii) the performance regarding the implemented bilinear pairing. We show that there are different possibilities and study the security and efficiency of each of them. To illustrate our purpose, we make use of the Boneh-Boyen-Shacham group signature, which needs one on-line pairing computation.

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. Beuchat, J.-L., González-Díaz, J.E., Mitsunari, S., Okamoto, E., Rodríguez-Henríquez, F., Teruya, T.: High-Speed Software Implementation of the Optimal Ate Pairing over Barreto–Naehrig Curves. In: Joye, M., Miyaji, A., Otsuka, A. (eds.) Pairing 2010. LNCS, vol. 6487, pp. 21–39. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  2. Boneh, D., Boyen, X., Shacham, H.: Short Group Signatures. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 41–55. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Boneh, D., Franklin, M.K.: Identity-Based Encryption from the Weil Pairing. SIAM J. Comput. 32(3), 586–615 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  4. Canard, S., Coisel, I., De Meulenaer, G., Pereira, O.: Group Signatures are Suitable for Constrained Devices. In: Rhee, K.-H., Nyang, D. (eds.) ICISC 2010. LNCS, vol. 6829, pp. 133–150. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  5. Chaum, D., van Heyst, E.: Group Signatures. In: Davies, D.W. (ed.) EUROCRYPT 1991. LNCS, vol. 547, pp. 257–265. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  6. Cheng, Z., Nistazakis, M.: Implementing Pairing-Based Cryptosystems. In: Proceedings of IWWST 2005 (2005)

    Google Scholar 

  7. Fiat, A., Shamir, A.: How to Prove Yourself: Practical Solutions to Identification and Signature Problems. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 186–194. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

  8. Girault, M., Lefranc, D.: Server-Aided Verification: Theory and Practice. In: Roy, B. (ed.) ASIACRYPT 2005. LNCS, vol. 3788, pp. 605–623. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Möller, B.: Algorithms for Multi-exponentiation. In: Vaudenay, S., Youssef, A.M. (eds.) SAC 2001. LNCS, vol. 2259, pp. 165–180. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Orange Labs, Applied Crypto Group, Caen, France

    Sébastien Canard, Nicolas Desmoulins, Julien Devigne & Jacques Traoré

  2. UCBN, GREYC, Caen, France

    Julien Devigne

Authors
  1. Sébastien Canard
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nicolas Desmoulins
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Julien Devigne
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jacques Traoré
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Départment d’Informatique, École Normale Supérieure and CNRS, 45 rue d’Ulm, 75005, Paris, France

    Michel Abdalla

  2. Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    Tanja Lange

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Canard, S., Desmoulins, N., Devigne, J., Traoré, J. (2013). On the Implementation of a Pairing-Based Cryptographic Protocol in a Constrained Device. In: Abdalla, M., Lange, T. (eds) Pairing-Based Cryptography – Pairing 2012. Pairing 2012. Lecture Notes in Computer Science, vol 7708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36334-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-36334-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36333-7

  • Online ISBN: 978-3-642-36334-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation