an:05073532
Zbl 1105.43002
Poinsot, Laurent
Bent functions on a finite nonabelian group
EN
J. Discrete Math. Sci. Cryptography 9, No. 2, 349-364 (2006).
00186311
2006
j
43A32 94A60 33E99
A bent function on a finite nonabelian group is introduced in this paper; it is a natural generalization of a bent function on a finite abelian group introduced by \textit{O. A. Logachev, A. A. Salnikov} and \textit{V. V. Yashchenko} [Discrete Math. Appl. 7, 547--564 (1997; Zbl 0982.94012)]. Using the theory of linear representations and noncommutative harmonic analysis of finite groups, several properties of such functions similar to the corresponding properties of traditional abelian bent functions are given.
Tao Renji (Beijing)
Zbl 0982.94012