On Weak and Strong 2k-Bent Boolean Functions

被引：10
|
作者：
Stanica, Pantelimon [1 ]
机构：
[1] US Navy, Postgrad Sch, Dept Appl Math, Monterey, CA 93943 USA
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2016年 / 62卷 / 05期
关键词：
Boolean functions; Walsh-Hadamard transforms; bent; negabent; octabent; hexadecabent; 2(k)-bent functions; GENERALIZED BENT CRITERIA;
D O I：
10.1109/TIT.2016.2539971
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we introduce a sequence of discrete Fourier transforms and define new versions of bent functions, which we shall call (weak and strong) octa/hexadeca and, in general, 2(k)-bent functions. We investigate relationships between these classes and completely characterize the octabent and hexadecabent functions in terms of bent functions. We further find relative difference sets based upon these functions.
引用
收藏
页码：2827 / 2835
页数：9
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