Cubic Maiorana-McFarland bent functions with no affine derivative
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A class of cubic Maiorana–McFarland (M) bent functions having no affine derivative was constructed by Canteaut and Charpin [ Decomposing bent functions, IEEE Trans. Inform. Theory 49(8) (2003), pp. 2004–2019], thereby solving an open problem posed by Hou [Cubic bent functions, Discrete Math. 189 (1998), pp. 149–161]. The goal of the paper is twofold: we construct two classes of cubic M bent functions with no affine derivative and show their mutual affine Inequivalence.
The article of record as published may be found at http://dx.doi.org/10.1080/23799927.2017.1304453
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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