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A new framework concerning the construction of small-order resilient Boolean functions whose nonlinearity is strictly greater than \(2^{n-1}-2^{\lfloor n/2\rfloor }\) is given. First, a generalized Maiorana–McFarland construction technique is described, which extends the current approaches by combining the usage of affine and nonlinear functions in a controllable manner. It is shown that for any...
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