Mathematical methods in cyber security: fractals and their applications in information and cyber security

Шевченко, Світлана Миколаївна and Жданова, Юлія Дмитрівна and Спасітєлєва, Світлана Олексіївна and Негоденко, Олена Василівна and Мазур, Наталія Петрівна and Кравчук, Катерина Володимирівна (2019) Mathematical methods in cyber security: fractals and their applications in information and cyber security Кібербезпека: освіта, наука, техніка, 1 (5). pp. 31-39. ISSN 2663-4023

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Abstract

The article deals with the application of modern mathematical apparatus in information and cyber security namely fractal analysis. The choice of fractal modeling for the protection of information in the process of its digital processing is grounded. Based on scientific sources, the basic definitions of the research are analyzed: fractal, its dimension and basic properties used in the process of information protection. The basic types of fractals (geometric, algebraic, statistical) are presented and the most famous of them are described. The historical perspective of the development of fractal theory is conducted. Different approaches to the application of fractal theory in information and cyber security have been reviewed. Among them are: the use of fractal analysis in encryption algorithms; development of a method of protecting documents with latent elements based on fractals; modeling the security system of each automated workplace network using a set of properties that can be represented as fractals. The considered approaches to the application of fractal analysis in information and cyber security can be used in the preparation of specialists in the process of research work or diploma work.

Item Type: Article
Uncontrolled Keywords: fractal; fractal properties; fractal models; information and cyber security; information security
Subjects: Статті у наукометричних базах > Index Copernicus
Articles in journals > Фахові (входять до переліку фахових, затверджений МОН)
Divisions: Факультети > Факультет інформаційних технологій та управління > Кафедра інформаційної та кібернетичної безпеки
Depositing User: Наталія Мазур
Date Deposited: 12 Nov 2019 11:14
Last Modified: 12 Nov 2019 11:14
URI: http://elibrary.kubg.edu.ua/id/eprint/28623

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