On construction of bent functions involving symmetric functions and their duals | Zendy

Sihem Mesnager | Zendy; Fengrong Zhang | Zendy; Yong Zhou | Zendy

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On construction of bent functions involving symmetric functions and their duals

Author(s) -

Sihem Mesnager,

Fengrong Zhang,

Yong Zhou

Publication year - 2017

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2017027

Subject(s) - bent molecular geometry , dual polyhedron , mathematics , generalization , bent function , symmetric function , dual (grammatical number) , pure mathematics , function (biology) , combinatorics , mathematical analysis , boolean function , structural engineering , art , literature , engineering , evolutionary biology , biology

In this paper, we firstly compute the dual functions of elementary symmetric bent functions. Next, we derive a new secondary construction of bent functions (given with their dual functions) involving symmetric bent functions, leading to a generalization of the well-know Rothaus' construction.

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