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Fast Evaluation, Weights and Nonlinearity of Rotation-Symmetric Functions

We study the nonlinearity and the weight of the rotation-symmetric (RotS) functions defined by Pieprzyk and Qu. We give exact results for the nonlinearity and weight of 2-degree RotS functions with the help of the semi-bent functions and we give the generating function for the weight of the 3-degree RotS function. Based on the numerical examples and our observations we state a conjecture on the nonlinearity and weight of the 3-degree RotS functions.

preprint2000arXivOpen access
Thomas W. CusickPantelimon Stanica
math.CO
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Thomas W. CusickPantelimon Stanica

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