EXPLICIT CONSTRUCTIONS OF BENT FUNCTIONS FROM PSEUDO-PLANAR FUNCTIONS

被引：2

作者：

Abdukhalikov, Kanat ^{[1
]}

Mesnager, Sihem ^{[2
,3
,4
]}

机构：

[1] UAE Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

[2] Univ Paris VIII, Dept Math, St Denis, France

[3] Univ Paris Paris XIII, Dept Math, Villetaneuse, France

[4] Telecom ParisTech, LAGA, UMR 7539, CNRS,Sorbonne Paris Cite, Paris, France

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2017年 / 11卷 / 02期

关键词：

Bent functions; spreads; presemifields; pseudo-planar functions; O-POLYNOMIALS; SPREADS;

D O I：

10.3934/amc.2017021

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We investigate explicitcon structions of bent functions which are linear on elements of spreads. Our constructions are obtained from symplectic presemifields which are associated to pseudo-planar functions. The following diagram gives an indication of the main interconnections arising in this paper: pseudo-planarfunctions <-> commutaive presemifield -> bent functions

引用

页码：293 / 299

页数：7

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