Vectorial bent functions and their duals

被引：22

作者：

Cesmelioglu, Ayca ^{[1
]}

Meidl, Wilfried ^{[2
]}

Pott, Alexander ^{[3
]}

机构：

[1] Altinbas Univ, Sch Engn & Nat Sci, TR-34217 Istanbul, Turkey

[2] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenbergeratr 69, A-4040 Linz, Austria

[3] Otto Von Guericke Univ, Fac Math, D-39106 Magdeburg, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 548卷

基金：

奥地利科学基金会;

关键词：

Vectorial bent functions; Dual of a bent function; CONSTRUCTION; SPREADS; ODD;

D O I：

10.1016/j.laa.2018.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the observation that for two (weakly regular) bent functions f, g for which also f + g is bent, the sum f* + g* of their duals f and g* is sometimes but not always bent, we initiate the study of duality for vectorial bent functions. We propose and investigate two concepts of self-duality for vectorial bent functions, self-duality and weak self-duality. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：305 / 320

页数：16

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