New secondary constructions of Bent functions
In this paper, we first present a novel secondary construction of bent functions (building new bent functions from two already defined ones). Furthermore, the algebraic degree and algebraic immunity of the constructed functions are analysed. Finally, we apply the construction using as initial functi...
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| Veröffentlicht in: | Applicable algebra in engineering, communication and computing communication and computing, 2016-11, Vol.27 (5), p.413-434 |
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| container_title | Applicable algebra in engineering, communication and computing |
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| creator | Zhang, Fengrong Carlet, Claude Hu, Yupu Zhang, Wenzheng |
| description | In this paper, we first present a novel secondary construction of bent functions (building new bent functions from two already defined ones). Furthermore, the algebraic degree and algebraic immunity of the constructed functions are analysed. Finally, we apply the construction using as initial functions some specific bent functions and then specify sufficient conditions for the resulting bent functions not to be contained in the completed Maiorana–McFarland class. In the second part of the paper, we present a corrigendum of “Constructions of bent–negabent functions and their relation to the completed Maiorana–McFarland Class” (IEEE Trans Inf Theory 61(3):1496–1506,
2015
). |
| doi_str_mv | 10.1007/s00200-016-0287-6 |
| format | Article |
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2015
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2015
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| subjects | Algebra Artificial Intelligence Computer Hardware Computer Science Immunity Original Paper Symbolic and Algebraic Manipulation Theory of Computation |
| title | New secondary constructions of Bent functions |
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