Skip to main content
SpringerLink
Log in

MultiPrime Cloud-RSA Scheme to Promote Data Confidentiality in the Cloud Environment

  • Conference paper
  • First Online:
Innovations in Smart Cities and Applications (SCAMS 2017)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 37))

Included in the following conference series:

  • 2037 Accesses

Abstract

Homomorphic encryption can be considered as an effective tool to overcome concerns over the confidentiality of sensitive data in the cloud. Since cloud environment is more threatened by attacks and since cloud consumers often use lightweight devices to access to cloud services, the homomorphic schemes must be promoted to work efficiently in terms of running time and security level. At EMENA-TSSL’16, we boosted the standard RSA cryptosystem at security level, Cloud-RSA. In this article, we suggest a fast variant of the Cloud-RSA for speeding up the Cloud-RSA algorithms. The fast variant is based on modifying the Cloud-RSA modulus structure and using the Chinese remainder theorem to decrypt.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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

References

  1. El Makkaoui, K., Ezzati, A., Beni-Hssane, A., Motamed, C.: Cloud security and privacy model for providing secure cloud services. In: 2016 2nd International Conference on Cloud Computing Technologies and Applications (CloudTech), pp. 81–86. IEEE (2016)

    Google Scholar 

  2. Xiang, C., Tang, C.: Efficient outsourcing schemes of modular exponentiations with checkability for untrusted cloud server. J. Ambient Intell. Humaniz. Comput. 6(1), 131–139 (2015)

    Article  Google Scholar 

  3. Bennasar, H., Bendahmane, A., Essaaidi, M.: An overview of the state-of-the-art of cloud computing cyber-security. In: International Conference on Codes, Cryptology, and Information Security, pp. 56–67. Springer, Cham (2017)

    Google Scholar 

  4. Kiraz, M.S.: A comprehensive meta-analysis of cryptographic security mechanisms for cloud computing. J. Ambient Intell. Humaniz. Comput. 7(5), 731–760 (2016)

    Article  Google Scholar 

  5. Alam, M., Emmanuel, N., Khan, T., Xiang, Y., Hassan, H.: Garbled role-based access control in the cloud. J. Ambient Intell. Humaniz. Comput. 8, 1–14 (2017)

    Google Scholar 

  6. Rivest, R., Adleman, L., Dertouzos, M.: On data banks and privacy homomorphisms. Found. Secur. Comput. 4, 169–180 (1978)

    MathSciNet  Google Scholar 

  7. Rivest, R., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM 21(2), 120–126 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  8. ElGamal, T.: A public key cryptosystem and a signature scheme based on discrete logarithms. IEEE Trans. Inf. Theor. 31, 469–472 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  9. El Makkaoui, K., Beni-Hssane, A., Ezzati, A.: Cloud-ElGamal: an efficient homomorphic encryption scheme. In: 2016 International Conference on Wireless Networks and Mobile Communications (WINCOM), pp. 63–66. IEEE (2016)

    Google Scholar 

  10. Paillier, P.: Public-key cryptosystems based on composite degree residuosity classes. In: EUROCRYPT 1999, pp. 223–238 (1999)

    Google Scholar 

  11. El Makkaoui, K., Ezzati, A., Beni-Hssane, A.: Securely adapt a Paillier encryption scheme to protect the data confidentiality in the cloud environment. In: Proceedings of the International Conference on Big Data and Advanced Wireless Technologies. ACM (2016)

    Google Scholar 

  12. Gentry, C.: A fully homomorphic encryption scheme. Doctoral Thesis. University of Stanford (2009). http://crypto.stanford.edu/craig

  13. Chillotti, I., Gama, N., Georgieva, M., Izabachène, M.: Faster fully homomorphic encryption: bootstrapping in less than 0.1 seconds. In: ASIACRYPT 2016, vol. 10031, pp. 3–33 (2016)

    Google Scholar 

  14. El Makkaoui, K., Ezzati, A, Beni-Hssane, A.: Cloud-RSA: an enhanced homomorphic encryption scheme. In: Europe and MENA Cooperation Advances in Information and Communication Technologies, pp. 471–480. Springer, Cham (2017)

    Google Scholar 

  15. El-Yahyaoui, A., Elkettani, M.D.: Fully homomorphic encryption: state of art and comparison. Int. J. Comput. Sci. Inf. Secur. 14(4), 159–167 (2016)

    Google Scholar 

  16. Collins, T., Hopkins, D., Langford, S., Sabin, M.: Public Key Cryptographic Apparatus and Method. US Patent #5,848,159 (1997)

    Google Scholar 

  17. Wang, X., Xu, G., Wang, M., Meng, X.: Mathematical Foundations of Public Key Cryptography. CRC Press, Boca Raton (2015)

    Book  MATH  Google Scholar 

  18. McGregor, C., Nimmo, J., Stothers, W.: Fundamentals of University Mathematics. Elsevier, Amsterdam (2010)

    Book  MATH  Google Scholar 

  19. Shoup, V.: A Computational Introduction to Number Theory and Algebra. Cambridge University Press, Cambridge (2005)

    Book  MATH  Google Scholar 

  20. Lenstra, A.K., Lenstra, H.W. (eds.): The Development of the Number Field Sieve, pp. 11–42. Springer, Heidelberg (1993)

    MATH  Google Scholar 

  21. Lenstra Jr., H.W.: Factoring integers with elliptic curves. Annal. Math. 126, 649–673 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  22. ANSI Standard X9.31-1998. Digital Signatures Using Reversible Public Key Cryptography for the Financial Services Industry (rDSA)

    Google Scholar 

  23. Wiener, M.: Cryptanalysis of short RSA secret exponents. IEEE Trans. Info. Theor. 36(3), 553–558 (1990)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LAVETE Laboratory, FST, Univ Hassan 1, B.P. 577, 26000, Settat, Morocco

    Khalid El Makkaoui & Abdellah Ezzati

  2. LAROSERI Laboratory, Department of Computer Science, Sciences Faculty, Chouaïb Doukkali University, El Jadida, Morocco

    Abderrahim Beni-Hssane

Authors
  1. Khalid El Makkaoui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abderrahim Beni-Hssane
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Abdellah Ezzati
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Khalid El Makkaoui .

Editor information

Editors and Affiliations

  1. Computer Sciences Department, Faculty of Sciences and Techniques, Abdelmalek Essaadi University, Tangier, Morocco

    Mohamed Ben Ahmed

  2. Computer Sciences Department, Faculty of Sciences and Techniques, Abdelmalek Essaadi University, Tangier, Morocco

    Anouar Abdelhakim Boudhir

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

El Makkaoui, K., Beni-Hssane, A., Ezzati, A. (2018). MultiPrime Cloud-RSA Scheme to Promote Data Confidentiality in the Cloud Environment. In: Ben Ahmed, M., Boudhir, A. (eds) Innovations in Smart Cities and Applications. SCAMS 2017. Lecture Notes in Networks and Systems, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-319-74500-8_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-74500-8_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74499-5

  • Online ISBN: 978-3-319-74500-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation