Abstract

Bent functions, which have the highest nonlinearity, play an important role in coding theory, sequence design and cryptography. On the basis of a given 2n-variable Maiorana-McFarland (M-M) Bent function and the 2ⁿ × 2ⁿ Orthomorphic Latin Square, we put forward a method to construct Bent functions on 2n variables. Furthermore, it is shown that an arbitrary constructed 2n-variable Bent function and the given 2n-variable Bent function can compose a two-output Bent function on 2n variables. At last, we count the number of the constructed two-output Bent functions on 2n variables.

Paper Details