Construction of Ternary Plateaued Functions from Quadratic Forms for Ternary Bent Functions

摘要

The paper presents a method to generate plateaued functions by applying spectral invariance operations to a given plateaued function specified by an particular disjoint quadratic form. The disjoint quadratic form of the starting function is generated by reducing the number of terms in the homogeneous disjoint quadratic forms of bent functions. Selecting different spectral invariance operations and applying them in different order allows fast producing of a large number of plateaued functions. To increase the degree of the starting functions the generalized disjoint spectral translation is appropriately modified and used.