A construction of weakly and non-weakly regular bent functions

被引：32

作者：

Cesmelioglu, Ayca ^{[1
]}

McGuire, Gary ^{[2
]}

Meidl, Wilfried ^{[1
]}

机构：

[1] Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey

[2] Univ Coll Dublin, Sch Math Sci, Dublin, Ireland

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2012年 / 119卷 / 02期

基金：

爱尔兰科学基金会;

关键词：

Bent function; Near-bent function; Semi-bent function; Weakly regular; Non-weakly regular; Fourier transform; FINITE-FIELDS; SEMI-BENT;

D O I：

10.1016/j.jcta.2011.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article a technique for constructing p-ary bent functions from near-bent functions is presented. This technique is then used to obtain both weakly regular and non-weakly regular bent functions. In particular we present the first known infinite class of non-weakly regular bent functions. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：420 / 429

页数：10

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