Generalized Bent Functions and Their Gray Images

被引：13

作者：

Martinsen, Thor ^{[1
]}

Meidl, Wilfried ^{[2
]}

Stanica, Pantelimon ^{[1
]}

机构：

[1] Naval Postgrad Sch, Dept Appl Math, Monterey, CA 93943 USA

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

来源：

ARITHMETIC OF FINITE FIELDS, WAIFI 2016 | 2016年 / 10064卷

基金：

奥地利科学基金会;

关键词：

D O I：

10.1007/978-3-319-55227-9_12

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 prove that generalized bent (gbent) functions defined on F-2(n) with values in Z(2k) are regular, and show connections between the (generalized) Walsh spectrum of these functions and their components. Moreover we analyze generalized bent and semibent functions with values in Z(16) in detail, extending earlier results on gbent functions with values in Z(4) and Z(8).

引用

页码：160 / 173

页数：14

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