Four decades of research on bent functions

被引：180
作者：
Carlet, Claude [1 ,2 ]
Mesnager, Sihem [1 ,2 ]
机构：
[1] Univ Paris 08, CNRS, Dept Math, LAGA,UMR 7539, F-93526 St Denis 02, France
[2] Univ Paris 13, F-93526 St Denis 02, France
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2016年 / 78卷 / 01期
关键词：
Boolean functions; Bent and p-ary bent functions; Plateaued functions; Vectorial bent functions; Spreads; Maiorana-McFarland class; SYMMETRIC BOOLEAN FUNCTIONS; DIFFERENCE SETS; SEMI-BENT; COMMUTATIVE SEMIFIELDS; HYPERBENT FUNCTIONS; PLATEAUED FUNCTIONS; KLOOSTERMAN SUMS; EXPONENTIAL-SUMS; QUADRATIC-FORMS; FINITE-FIELDS;
D O I：
10.1007/s10623-015-0145-8
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this survey, we revisit the Rothaus paper and the chapter of Dillon's thesis dedicated to bent functions, and we describe the main results obtained on these functions during these last 40 years. We also cover more briefly super-classes of Boolean functions, vectorial bent functions and bent functions in odd characteristic.
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页码：5 / 50
页数：46
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