We consider the question of linear equivalence of the constructed bent functions and study the properties of the associated elementary abelian difference sets.

We apply the machinery of invariant theory in order to construct homogeneous bent functions of degree three in 8, 10, and 12 variables. This approach gives a ...

The machinery of invariant theory is applied in order to construct homogeneous bent functions of degree three in 8, 10, and 12 variables and yields Boolean ...

Jun 1, 2002 · We apply the machinery of invariant theory in order to construct homogeneous bent functions of degree three in 8, 10, and 12 variables. This ...

Jun 1, 2002 · We establish a new connection between invariant theory and the theory of bent functions. This enables us to construct Boolean functions with ...

We consider the question of linear equivalence of the constructed bent functions and study the properties of the associated elementary abelian difference sets.

We show that these bent functions arise as invariants under an action of the symmetric group on four letters. Extending to more variables we apply the machinery ...

Abstract. It is well known that the degree of a 2m-variable bent func- tion is at most m. However, the case in homogeneous bent functions is not clear.

Homogeneous bent functions, invariants, and designs. Charnes, C.; Roetteler ... Designs, codes, and cryptography. Verlag, Springer. Band, 26. Heft, 1/3. Seiten ...

We determine the affine equivalence classes of the eight variable degree three homogeneous bent functions using a new algorithm.