Generalizations of bent functions. A survey

被引：31
|
作者：
Tokareva N.N. [1 ]
机构：
[1] Sobolev Institute of Mathematics, Novosibirsk 630090
来源：
Journal of Applied and Industrial Mathematics | 2011年 / 5卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Bent function; Boolean function; CDMA; Nonlinearity; Walsh-Hadamard transform;
D O I：
10.1134/S1990478911010133
中图分类号：
学科分类号：
摘要：
Bent functions (Boolean functions with extreme nonlinearity properties) are actively studied for their numerous applications in cryptography, coding theory, and other fields. New statements of problems lead to a large number of generalizations of the bent functions many of which remain little known to the experts in Boolean functions. In this article, we offer a systematic survey of them. © 2011 Pleiades Publishing, Ltd.
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页码：110 / 129
页数：19
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