Sangam: A Confluence of Knowledge Streams

Cubic Maiorana-McFarland bent functions with no affine derivative

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dc.contributor Naval Postgraduate School (U.S.)
dc.contributor Applied Mathematics
dc.creator Mandal, Bimal
dc.creator Gangopadhyay, Sugata
dc.creator Stănică, Pantelimon
dc.date 2018-07-24T16:00:14Z
dc.date 2018-07-24T16:00:14Z
dc.date 2017
dc.date.accessioned 2022-05-19T07:43:17Z
dc.date.available 2022-05-19T07:43:17Z
dc.identifier Mandal, Bimal, Sugata Gangopadhyay, and Pantelimon Stănică. "Cubic Maiorana–McFarland bent functions with no affine derivative." International Journal of Computer Mathematics: Computer Systems Theory 2.1 (2017): 14-27
dc.identifier http://hdl.handle.net/10945/59304
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/100157
dc.description The article of record as published may be found at http://dx.doi.org/10.1080/23799927.2017.1304453
dc.description 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.
dc.description IIT Roorke
dc.format 14 p.
dc.format application/pdf
dc.publisher Taylor & Francis
dc.rights This 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.
dc.subject bent functions
dc.subject Boolean functions
dc.subject vector spaces
dc.subject differentials
dc.subject counting
dc.title Cubic Maiorana-McFarland bent functions with no affine derivative
dc.type Article


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