Cubic bent functions outside the completed Maiorana-McFarland class

Autor:	Polujan, Alexandr, Pott, Alexander
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics Computer Science - Information Theory 05B10 06E30 14G50 94C30
Druh dokumentu:	Working Paper
DOI:	10.1007/s10623-019-00712-y
Popis:	In this paper we prove that in opposite to the cases of 6 and 8 variables, the Maiorana-McFarland construction does not describe the whole class of cubic bent functions in $n$ variables for all $n\ge 10$. Moreover, we show that for almost all values of $n$, these functions can simultaneously be homogeneous and have no affine derivatives.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.11271 Zobrazit plný text záznamu View this record from Arxiv