Application of Election Functions to Estimate the Number of Monotone Self-Dual Boolean functions

Autor: Leonid Y. Bystrov, Egor V. Kuzmin

Publikováno v: Моделирование и анализ информационных систем, Vol 29, Iss 2, Pp 78-91 (2022)

One of the problems of modern discrete mathematics is R. Dedekind problem on the number of monotone boolean functions. For other precomplete classes, general formulas for the number of functions of the classes had been found, but it has not been foun

Externí odkaz: https://doaj.org/article/2c60fa9a019f44e3b19192b1df69d67d

On Formally Self-dual Boolean Functions in 2,4 and 6 Variables

Autor: Lin Sok, Patrick Solé

Publikováno v: Arithmetic of Finite Fields ISBN: 9783642316616
WAIFI
Arithmetic of Finite Fields
WAIFI 2012
WAIFI 2012, Jul 2012, Bochum, Germany. pp.81-91, ⟨10.1007/978-3-642-31662-3_6⟩

International audience; In this paper, we classify all formally self-dual Boolean functions and self-dual bent functions under the action of the extended symmetric group in 2, 4 variables, and give a lower bound for the number of non-equivalent funct

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0660d95dbe52c712e3bab202471dc8c5
https://doi.org/10.1007/978-3-642-31662-3_6

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