Skip to main content
SpringerLink
Log in

Equivalent Characterizations and Applications of Multi-output Correlation-Immune Boolean Functions

  • Conference paper
  • First Online:
Information and Communications Security (ICICS 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2229))

Included in the following conference series:

  • 581 Accesses

Abstract

This paper discusses the characterizations of multi-output correlation-immune functions. We first give a decomposition formula of the probability distribution of binary random vectors by using Walsh transform. Then the equivalence of the two different definitions of multioutput correlation-immune functions is proved. Furthermore, we construct a class of keystream generators which can resist the linear and correlation attacks.

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. Ding Cunsheng, Xiao Guozhen: Stream Ciphers and Applications. Beijing,the publishing company of defence industry, PP.169–173,1994.

    Google Scholar 

  2. K. Gopalakrishnan and D.R. Stinson: Three characterizations of nonbinary correlation-immune and resilient functions. Designs,Codes and Cryptography,PP.241–251, 5(3),1995.

    Article  MATH  MathSciNet  Google Scholar 

  3. Chen Lusheng: Cryptographic properties of multi-output Boolean functions. PhD thesis, Nankai University, 2000.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Information Security, Graduate School of CAS, 100039, Beijing , PRC

    Xu Jie-lü, Xu Han-liang, Yan Wang & Lü Shu-Wang

Authors
  1. Xu Jie-lü
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xu Han-liang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yan Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lü Shu-Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Engineering Research Center for Information Security Technology (ERCIST), Chinese Academy of Sciences, P.O. Box 8718, 100080, Beijing, China

    Sihan Qing

  2. NTT Labs, 1-1 Hikarinooka, 239-0847, Yokosuka-shi, Japan

    Tatsuaki Okamoto

  3. Oracle Corporation, 500 Oracle Parkway, 94065, Redwood Shores, CA, USA

    Jianying Zhou

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jie-lü, X., Han-liang, X., Wang, Y., Shu-Wang, L. (2001). Equivalent Characterizations and Applications of Multi-output Correlation-Immune Boolean Functions. In: Qing, S., Okamoto, T., Zhou, J. (eds) Information and Communications Security. ICICS 2001. Lecture Notes in Computer Science, vol 2229. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45600-7_24

Download citation

  • DOI: https://doi.org/10.1007/3-540-45600-7_24

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42880-0

  • Online ISBN: 978-3-540-45600-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation