Further constructions of infinite families of bent functions from new permutations and their duals

被引：0
作者：
Sihem Mesnager
机构：
[1] University of Paris VIII,Department of Mathematics
[2] University of Paris XIII,LAGA, UMR 7539, CNRS
[3] Telecom ParisTech,undefined
来源：
Cryptography and Communications | 2016年 / 8卷
关键词：
Boolean functions; Bent functions; Permutations; Walsh Hadamard transform; Linear structures; 97N70;
D O I：
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学科分类号：
摘要：
A Boolean function with an even number of variables is called bent if it is maximally nonlinear. This paper extends the recent work of the author on bent functions (“Several new infinite families of bent functions and their duals”, IEEE-IT, 60(7), pp. 4397-4407, 2014). We exhibit several new infinite families of bent functions with their dual (bent) functions. Some of them are obtained via new infinite families of permutations that we provide with their compositional inverses. We introduce secondary-like constructions of permutations leading to the construction of several families of bent functions.
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页码：229 / 246
页数：17
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