A Catalogue of Homogeneous Bent Functions

Chris Charnes, Martin Rötteler, and Thomas Beth,



Homogeneous bent functions in 6 variables (degree 3)

Symmetry groups which are subgroups of S6

Homogeneous bent functions in 8 variables (degree 3)

Symmetry groups which are subgroups of S8

Homogeneous bent functions in 10 variables (degree 3)

Symmetry groups which are subgroups of S1 x S9
Symmetry groups which are subgroups of S4 x S6
Symmetry groups which are subgroups of S5 wr S2
Symmetry groups which are subgroups of S2 wr S5

Homogeneous bent functions in 12 variables (degree 3)

Symmetry groups which are subgroups of S2 x S10

Homogeneous bent functions in 16 variables (degree 3)

Symmetry groups which are subgroups of S2 x S14