Existence of balanced functions that are not derivative of bent functions
arXiv:2309.04244 · doi:10.1109/Redundancy59964.2023.10330175
Abstract
It is disproved the Tokareva's conjecture that any balanced boolean function of appropriate degree is a derivative of some bent function. This result is based on new upper bounds for the numbers of bent and plateaued functions.
arXiv comment3 pages