Niho Bent Functions and Subiaco Hyperovals

被引：11
|
作者：
Helleseth, Tor [1 ]
Kholosha, Alexander [1 ]
Mesnager, Sihem [2 ,3 ]
机构：
[1] Univ Bergen, Dept Informat, POB 7800, N-5020 Bergen, Norway
[2] Univ Paris 08, Dept Math, F-93526 St Denis, France
[3] Univ Paris 13, F-93526 St Denis, France
来源：
THEORY AND APPLICATIONS OF FINITE FIELDS | 2012年 / 579卷
关键词：
D O I：
10.1090/conm/579/11522
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the relation between binomial Niho bent functions discovered by Dobbertin et al. and o-polynomials that give rise to the Subiaco class of hyperovals is found. This allows to expand the original class of bent functions in the case when m 2 (mod 4). It is also proven that one of the earlier discovered sporadic Niho bent functions, up to EA-equivalence, belongs to the known infinite class.
引用
收藏
页码：91 / +
页数：3
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