On the constructions and nonlinearity of binary vector-output correlation-immune functions

Authors:
Lusheng Chen;Fang-Wei Fu;Victor K.-W. Wei
Affiliations:
Department of Mathematics, Nankai University, Tianjin 300071, P.R. China;Temasek Laboratories, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore;Department of Information Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Venue:
Journal of Complexity - Special issue on coding and cryptography
Year:
2004

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Abstract

The binary vector-output correlation-immune functions are studied in this paper. Some important properties of vector-output correlation-immune functions are obtained. A number of methods for constructing new vector-output correlation-immune functions from old ones are discussed. The nonlinearity of the newly constructed vector-output correlation-immune functions is studied. For some cases we give the exact formulas for the nonlinearity of constructed vector-output correlation-immune functions.