Hyper-bent functions

被引：0
|
作者：
Youssef, AM [1 ]
Gong, G
机构：
[1] Univ Waterloo, Dept Combinator & Optimizat, Ctr Appl Cryptog Res, Waterloo, ON N2L 3G1, Canada
[2] Univ Waterloo, Dept Elect & Comp Engn, Ctr Appl Cryptog Res, Waterloo, ON N2L 3G1, Canada
来源：
ADVANCES IN CRYPTOLOGY-EUROCRYPT 2001, PROCEEDINGS | 2001年 / 2045卷
关键词：
boolean functions; bent functions; hyper-bent functions; nonlinearity;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Bent functions have maximal minimum distance to the set of affine functions. In other words, they achieve the maximal minimum distance to all the coordinate functions of affine monomials. In this paper we introduce a new class of bent functions which we call hyper-bent functions. Functions within this class achieve the maximal minimum distance to all the coordinate functions of all bijective monomials. We provide an explicit construction for such functions. We also extend our results to vectorial hyper-bent functions.
引用
收藏
页码：406 / 419
页数：14
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