Results 21 to 30 of about 40,553 (242)

Partial Boolean Functions With Exact Quantum Query Complexity One

open access: yesEntropy, 2021
We provide two sufficient and necessary conditions to characterize any n-bit partial Boolean function with exact quantum query complexity 1. Using the first characterization, we present all n-bit partial Boolean functions that depend on n bits and can be
Guoliang Xu, Daowen Qiu
doaj   +1 more source

The Zhegalkin Polynomial of Multiseat Sole Sufficient Operator

open access: yesМоделирование и анализ информационных систем, 2023
Among functionally complete sets of Boolean functions, sole sufficient operators are of particular interest. They have a wide range of applicability and are not limited to the two-seat case.
Leonid Y. Bystrov, Egor V. Kuzmin
doaj   +1 more source

Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue

open access: yesTongxin xuebao, 2010
Took the derivative and e-derivative of Boolean function as a tool,analyzed the inner structure of balanced H-Boolean functions,clearly obtained the conclusion that the second-order correlation-immune balanced H-Boolean function is not existent,solved ...
HE Liang, WANG Zhuo, LI Wei-wei
doaj   +2 more sources

Relationship between correlation immune and weight of H Boolean functions

open access: yesTongxin xuebao, 2012
The Boolean function derivative and e-derivative which together with the derivative so that the weight of Boolean functions can be directly clear characterized and defined as the tools for research and deep into the internal structure of Boolean function
Jing-lian HUANG, Zhuo WANG
doaj   +2 more sources

A Method for Determining the Affine Equivalence of Boolean Functions

open access: yesIEEE Access, 2019
Determining the affine equivalence of Boolean functions has significant applications in circuit and cryptography. Previous methods for determining this require a large amount of computation when Boolean functions are bent functions or when the truth ...
Ziyu Wang   +3 more
doaj   +1 more source

Математическая логика: построение логических схем из логических элементов в Maple

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021
В статье рассматриваются возможности применения библиотеки Logic системы компьютерной алгебры Maple в аспекте компьютерного моделирования логических схем в различных базисах. Смоделированы основные логические элементы в Maple.
Оленев, А.А.   +2 more
doaj   +1 more source

Join-Irreducible Boolean Functions [PDF]

open access: yesOrder, 2010
The current manuscript constitutes an extension to the paper "Irreducible Boolean Functions" (arXiv:0801.2939v1)
Bouaziz, Moncef   +2 more
openaire   +3 more sources

Boolean Functions

open access: yes, 2011
Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations.
Crama, Yves, Hammer, Peter L.
openaire   +3 more sources

Minimization of Boolean functions in the class of orthogonal disjunctive normal forms

open access: yesInformatika, 2021
The orthogonal disjunctive normal forms (DNFs) of Boolean functions have wide applications in the logical design of discrete devices. The problem of DNF orthogonalization is to get for a given function such a DNF that any two its terms would be ...
Yu. V. Pottosin
doaj   +1 more source

A Characterization of Generalized Boolean Functions Employed in CDMA Communications [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences
In design of secure cryptosystems and CDMA communications, the negabent functions play a significant role. The generalized Boolean functions have been extensively studied by Schmidt and established several important results in this setup.
Deep Singh   +3 more
doaj   +1 more source

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