Skip to main content

On the correlation immune functions and their nonlinearity

  • Conference paper
  • First Online:
Book cover Advances in Cryptology — ASIACRYPT '96 (ASIACRYPT 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1163))

Abstract

In this paper, we consider the relationship between the nonlinearity and correlation immunity of functions suggested by P. Camion et al. For the analysis of such functions, we present a simple method of generating the same set of functions, which makes us possible to construct correlation immune functions with controllable correlation immunity and nonlinearity.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Camion, C. Carlet, P. Charpin and N. Sendrier, “On correlation-immune functions”, Advances in Cryptology — CRYPTO'91, Springer-Verlag, pp. 86–100, 1992.

    Google Scholar 

  2. W. Meier and O. Staffelbach, “Nonlinearity criteria for cryptographic functions”, Advances in Cryptology — EUROCRYPT'89, Springer-Verlag, pp. 549–562, 1990.

    Google Scholar 

  3. J. Seberry, X. M. Zhang and Y. Zheng, “On constructions and nonlinearity of correlation immune functions”, Advances in Cryptology — EUROCRYPT'93, Springer-Verlag, pp. 181–199, 1994.

    Google Scholar 

  4. T. Siegenthaler, “Correlation immunity of non-linear combining functions for cryptographic applications”, IEEE Trans. on Inf. Th., IT-30, pp. 776–780, 1984.

    Article  Google Scholar 

  5. Y. Xian, “Correlation-immunity of Boolean functions”, Electronics Letters, 23, pp. 1335–1336, 1987.

    Google Scholar 

  6. G. Xiao and J. Massey, “A spectral characterization of correlation-immune combining functions”, IEEE Trans. on Inf. Th., IT-34, pp. 569–571, 1988.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Kwangjo Kim Tsutomu Matsumoto

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag

About this paper

Cite this paper

Chee, S., Lee, S., Lee, D., Sung, S.H. (1996). On the correlation immune functions and their nonlinearity. In: Kim, K., Matsumoto, T. (eds) Advances in Cryptology — ASIACRYPT '96. ASIACRYPT 1996. Lecture Notes in Computer Science, vol 1163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034850

Download citation

  • DOI: https://doi.org/10.1007/BFb0034850

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61872-0

  • Online ISBN: 978-3-540-70707-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics