The Weight and Nonlinearity of 2-rotation Symmetric Cubic Boolean Function

نویسنده

  • Hongli Liu
چکیده

The conceptions of χ-value and K-rotation symmetric Boolean functions are introduced by Cusick. K-rotation symmetric Boolean functions are a special rotation symmetric functions, which are invariant under the k − th power of ρ. In this paper, we discuss cubic 2-value 2-rotation symmetric Boolean function with 2n variables, which denoted by F2n(x2n). We give the recursive formula of weight of F2n(x2n), and prove that the weight of F2n(x2n) is the same as its nonlinearity.

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تاریخ انتشار 2015