New secondary constructions of Bent functions
New secondary constructions of Bent functions
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DOI：
10.1007/s00200-016-0287-6
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发表时间：
2016-11
期刊：
影响因子：
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通讯作者：
Fengrong Zhang;C. Carlet;Yu-pu Hu;Wenzheng Zhang
中科院分区：
文献类型：
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作者：
Fengrong Zhang;C. Carlet;Yu-pu Hu;Wenzheng Zhang
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).
