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.

翻译：本文证明了托卡列娃猜想不成立，即适当次数的任意平衡布尔函数并非某弯曲函数的导数。该结果基于对弯曲函数和平台函数数量的新上界。