Abstract
In this paper, the properties of symbol transformations of cyclic Hadamard matrices are studied. An infinite class of (n−1)-variable 2-resilient rotation symmetric Boolean functions are constructed, and the nonlinearity of the constructed functions is 2n(n−1). The crucial technique of this method is to determine a subset T⊆F2n−1 satisfying a correspondent condition. This is a new construction of 2-resilient rotation symmetric Boolean functions via switching the supports of (n−1)-variable rotation symmetric Boolean functions of degree one, i.e., f0n−1(x1,x2,⋯,xn−1)=⊕i=1n−1xi, where n=4t.
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