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

摘要

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.