Generalized Boolean bent functions
Poinsot, Laurent ; Harari, Sami
HAL, hal-00460340 / Harvested from HAL
Text on HAL
The notions of perfect nonlinearity and bent functions are closely dependent on the action of the group of translations over $\mathbb{F}_2^m$. 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.
Publié le : 2004-12-20
Classification:  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR],  [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT],  [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT],  [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR] 
@article{hal-00460340,
     author = {Poinsot, Laurent and Harari, Sami},
     title = {Generalized Boolean bent functions},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00460340}
}

Poinsot, Laurent; Harari, Sami. Generalized Boolean bent functions. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00460340/