ETRI Journal

Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Correlation Immune Functions with Controllable Nonlinearity

  • Published : 1997.12.31
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Abstract

In this paper, we consider the relationship between nonlinearity and correlation immunity of Boolean functions. In particular, we discuss the nonlinearity of correlation immune 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 it possible to construct correlation immune functions with controllable correlation immunity and nonlinearity. Also, we find a bound for the correlation immunity of functions having maximal nonlinearity.

Keywords

References

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  6. IEEE Trans. on Inf. Th. v.34 A spectral characterization of correlation-immune combining functions Xiao, G.;Massey, J.