Name
Abstract | ||
|---|---|---|
The notions of perfect nonlinearity and bent functions are closely dependent on the action of the group of translations over $\mathbb{F}^{m}_{2}$. Extending the idea to more generalized groups of involutions without fixed points gives a larger framework to the previous notions. In this paper we largely develop this concept to define G-perfect nonlinearity and G-bent functions, where G is an Abelian group of involutions, and to show their equivalence as in the classical case. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/978-3-540-30556-9_10 | INDOCRYPT |
Keywords | Field | DocType |
fixed point,bent function,g-perfect nonlinearity,larger framework,previous notion,g-bent function,perfect nonlinearity,generalized boolean bent function,abelian group,classical case,generalized group | Boolean function,Abelian group,Combinatorics,Nonlinear system,Bent molecular geometry,Conjugacy class,Equivalence (measure theory),Fixed point,Generalized function,Mathematics | Conference |
Volume | ISSN | ISBN |
3348 | 0302-9743 | 3-540-24130-2 |
Citations | PageRank | References |
3 | 0.45 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Poinsot | 1 | 33 | 7.32 |
| Sami Harari | 2 | 11 | 3.03 |