Two new classes of near perfect nonlinear functions (Q2926097)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Two new classes of near perfect nonlinear functions |
scientific article; zbMATH DE number 6362484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two new classes of near perfect nonlinear functions |
scientific article; zbMATH DE number 6362484 |
Statements
29 October 2014
0 references
nonlinearity
0 references
perfect nonlinear function
0 references
trace function
0 references
Two new classes of near perfect nonlinear functions (English)
0 references
Let \(G_1\) and \(G_2\) be finite abelian groups with orders \(n\) and \(m\), respectively. Nonlinearity of functions \(f: G_1 \rightarrow G_2\) have traditionally been studied when \(n = m\). Some studies have also considered groups with \(n > m\), with major contributions by \textit{C. Carlet} and \textit{C. Ding} [J. Complexity 20, No. 2--3, 205--244 (2004; Zbl 1053.94011)]. In the current paper, two new families of highly nonlinear functions (through the definition of functions that are called perfect nonlinear) are presented for cases when \(m\) does not divide \(n\).
0 references
0.8907378315925598
0 references
0.8585485816001892
0 references
0.8535066246986389
0 references
0.8511563539505005
0 references
0.8440954685211182
0 references
