On values of the affine rank of the support of spectrum of a plateaued function
Yuriy Valerievich Tarannikov · Discrete Mathematics and Applications · 2006
We prove that the affine rank of any plateaued function with spectrum support of cardinality 16 is equal to 4, 5 or 6. For any positive integer h , we consider plateaued functions with spectrum support of cardinality 4 h , give bounds for the affine rank of such functions and construct functions with affine rank equal to any possible value from 2 h to 2 h +1 −2.