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Fast Evaluation, Weights and Nonlinearity of Rotation-Symmetric Functions

Thomas W. Cusick·Pantelimon Stanica
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Abstract

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.

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Thomas W. Cusick, Pantelimon Stanica. 2000-10-24. Fast Evaluation, Weights and Nonlinearity of Rotation-Symmetric Functions. https://arxiv.org/abs/math/0010221

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