Skip to main content

A Secure and Fast Dispersal Storage Scheme Based on the Learning with Errors Problem

  • Conference paper
  • First Online:
Security and Privacy in Communication Networks (SecureComm 2016)

Abstract

Data confidentiality and availability are of primary concern in data storage. Dispersal storage schemes achieve these two security properties by transforming the data into multiple codewords and dispersing them across multiple storage servers. Existing schemes achieve confidentiality and availability by various cryptographic and coding algorithms, but only under the assumption that an adversary cannot obtain more than a certain number of codewords. Meanwhile existing schemes are designed for storing archives. In this paper, we propose a novel dispersal storage scheme based on the learning with errors problem, known as storage with errors (SWE). SWE can resist even more powerful adversaries. Besides, SWE favorably supports dynamic data operations that are both efficient and secure, which is more practical for cloud storage. Furthermore, SWE achieves security at relatively low computational overhead, but the same storage cost compared with the state of the art. We also develop a prototype to validate and evaluate SWE. Analysis and experiments show that with proper configurations, SWE outperforms existing schemes in encoding/decoding speed.

This work was supported by the National 973 Program of China under Grant 2014CB340603, and the Strategic Priority Research Program of Chinese Academy of Sciences under Grant XDA06010702. This work was also supported by the National Natural Science Foundation of China under Grants 61272479, 61272040, and 61572495.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and 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

References

  1. Ciriani, V., De Capitani di Vimercati, S., Foresti, S., Jajodia, S., Paraboschi, S., Samarati, P.: Keep a few: outsourcing data while maintaining confidentiality. In: Backes, M., Ning, P. (eds.) ESORICS 2009. LNCS, vol. 5789, pp. 440–455. Springer, Heidelberg (2009). doi:10.1007/978-3-642-04444-1_27

    Chapter  Google Scholar 

  2. Samarati, P., Di Vimercati, S.D.C.: Data protection in outsourcing scenarios: issues and directions. In: Proceedings of the 5th ACM Symposium on Information, Computer and Communications Security, pp. 1–14. ACM (2010)

    Google Scholar 

  3. Resch, J.K., Plank, J.S.: AONT-RS: blending security and performance in dispersed storage systems. In: Proceedings of the 9th USENIX Conference on File and Storage Technologies, pp. 229–240 (2011)

    Google Scholar 

  4. Bairavasundaram, L.N., Arpaci-Dusseau, A.C., Arpaci-Dusseau, R.H., Goodson, G.R., Schroeder, B.: An analysis of data corruption in the storage stack. ACM Trans. Storage (TOS) 4(3), 8 (2008)

    Google Scholar 

  5. Ab Rahman, N.H., Choo, K.K.R.: A survey of information security incident handling in the cloud. Comput. Secur. 49, 45–69 (2015)

    Article  Google Scholar 

  6. Amazon S3 availability event: July 20, 2008 (2008). http://status.aws.amazon.com/s3-20080720.html

  7. Experts say Facebook leak of 6 million users data might be bigger than we thought (2013). http://www.huffingtonpost.com/2013/06/27/facebook-leak-data_n_3510100.html

  8. iCloud leaks of celebrity photos (2014). https://en.wikipedia.org/wiki/ICloud_leaks_of_celebrity_photos

  9. Storer, M.W., Greenan, K.M., Miller, E.L., Voruganti, K.: POTSHARDS–a secure, recoverable, long-term archival storage system. ACM Trans. Storage (TOS) 5(2), 5 (2009)

    Google Scholar 

  10. Shamir, A.: How to share a secret. Commun. ACM 22(11), 612–613 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  11. Rabin, M.O.: Efficient dispersal of information for security, load balancing, fault tolerance. J. ACM (JACM) 36(2), 335–348 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  12. Krawczyk, H.: Secret sharing made short. In: Stinson, D.R. (ed.) CRYPTO 1993. LNCS, vol. 773, pp. 136–146. Springer, Heidelberg (1994). doi:10.1007/3-540-48329-2_12

    Chapter  Google Scholar 

  13. Erway, C.C., Küpçü, A., Papamanthou, C., Tamassia, R.: Dynamic provable data possession. ACM Trans. Inf. Syst. Secur. (TISSEC) 17(4), 15 (2015)

    Article  Google Scholar 

  14. Dong, X., Jiadi, Y., Luo, Y., Chen, Y., Xue, G., Li, M.: Achieving an effective, scalable and privacy-preserving data sharing service in cloud computing. Comput. Secur. 42, 151–164 (2014)

    Article  Google Scholar 

  15. Regev, O.: On lattices, learning with errors, random linear codes, and cryptography. J. ACM (JACM) 56(6), 34 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  16. Döttling, N., Müller-Quade, J.: Lossy codes and a new variant of the learning-with-errors problem. In: Johansson, T., Nguyen, P.Q. (eds.) EUROCRYPT 2013. LNCS, vol. 7881, pp. 18–34. Springer, Heidelberg (2013). doi:10.1007/978-3-642-38348-9_2

    Chapter  Google Scholar 

  17. Brakerski, Z., Langlois, A., Peikert, C., Regev, O., Stehlé, D.: Classical hardness of learning with errors. In: Proceedings of the 45th Annual ACM Symposium on Theory of Computing, pp. 575–584. ACM (2013)

    Google Scholar 

  18. Micciancio, D., Peikert, C.: Trapdoors for lattices: simpler, tighter, faster, smaller. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 700–718. Springer, Heidelberg (2012). doi:10.1007/978-3-642-29011-4_41

    Chapter  Google Scholar 

  19. Reed, I.S., Solomon, G.: Polynomial codes over certain finite fields. J. Soc. Ind. Appl. Math. 8(2), 300–304 (1960)

    Article  MathSciNet  MATH  Google Scholar 

  20. Bessani, A., Correia, M., Quaresma, B., André, F., Sousa, P.: DepSky: dependable and secure storage in a cloud-of-clouds. ACM Trans. Storage (TOS) 9(4), 12 (2013)

    Google Scholar 

  21. Abu-Libdeh, H., Princehouse, L., Weatherspoon, H.: RACS: a case for cloud storage diversity. In: Proceedings of the 1st ACM Symposium on Cloud Computing, pp. 229–240. ACM (2010)

    Google Scholar 

  22. Arora, S., Ge, R.: Learning parities with structured noise. Electron. Colloquium Comput. Complex. 17, 66 (2010)

    Google Scholar 

  23. Albrecht, M.R., Player, R., Scott, S.: On the concrete hardness of learning with errors. J. Math. Cryptology 9(3), 169–203 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  24. New instructions supporting the secure hash algorithm on Intel architecture processors (2013). https://software.intel.com/en-us/articles/intel-sha-extensions

  25. NTL: A library for doing number theory (2015). http://www.shoup.net/ntl/

  26. Plank, J.S., Simmerman, S., Schuman, C.D.: Jerasure: a library in c/c++ facilitating erasure coding for storage applications-version 1.2. Technical report. Citeseer (2008)

    Google Scholar 

  27. Curty, M.: Quantum cryptography: know your enemy. Nat. Phys. 10(7), 479–480 (2014)

    Article  Google Scholar 

  28. Drevet, C.É., Islam, M.N., Schost, É.: Optimization techniques for small matrix multiplication. Theor. Comput. Sci. 412(22), 2219–2236 (2011)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xianhui Lu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

About this paper

Cite this paper

Yang, L. et al. (2017). A Secure and Fast Dispersal Storage Scheme Based on the Learning with Errors Problem. In: Deng, R., Weng, J., Ren, K., Yegneswaran, V. (eds) Security and Privacy in Communication Networks. SecureComm 2016. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-319-59608-2_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-59608-2_23

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59607-5

  • Online ISBN: 978-3-319-59608-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics