EA-inequivalence of bent functions.

Autor: Bajrić, Samed
Předmět:
Zdroj: Applicable Algebra in Engineering, Communication & Computing; Dec2021, Vol. 32 Issue 6, p651-663, 13p
Abstrakt: The question of establishing EA-inequivalence among the classes of bent functions remains in general an open problem. The EA-inequivalence is also relevant in classifying bent functions within the same class. This paper is an attempt to investigate these questions for the Maiorana–McFarland (M ) class and so-called class H of bent functions. For cubic bent functions of the form T r 1 t (x y 2 i + 1) in M , the necessary and sufficient conditions related to EA-equivalence are derived. It is also shown that in most of the cases, at least over finite fields of relatively small order, bent functions within H are EA-inequivalent. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index