DESCRIPTION OF ALGORITHMS FOR BALANCING NUMERICAL MATRICES AND THEIR DIVISION INTO HIERARCHICAL LEVELS ACCORDING TO THEIR TYPE AND COMPLEXITY
Yuriy Khanas
Lviv Polytechnic National University (Ukraine)
http://orcid.org/0000-0001-6496-5782
Michał Borecki
michal.borecki@ee.pw.edu.plWarsaw University of Technology (Poland)
http://orcid.org/0000-0001-8907-6906
Abstract
This article describes a set of algorithms for so-called balancing of numerical matrices, which were developed by the author. Each section consists of several algorithms that are divided into different levels. The order of these levels depended on the chronology of the creation of certain algorithms. Chronology also affected the complexity of these balancing algorithms, so it can be argued that the algorithms are described in order from the simplest level to the most complex. It is important to emphasize that the purpose of the article is to describe the actions on matrices that determine the balancing algorithm of a certain level, and practical application will be the next step.
Keywords:
matrix balancing, separated matrix sectors, solid matrix sector, virtual matrix boundary, non-uniform matrixReferences
Agarwal S.: Symmetric Key Encryption using Iterated Fractal Functions. International Journal of Computer Network and Information Security 9(4)/2019, 1–9.
DOI: https://doi.org/10.5815/ijcnis.2017.04.01
Google Scholar
Anisimov A. V., Kulyabko P. P.: Information systems and databases: A textbook for students of the faculty computer science and cybernetics. Kyiv 2017.
Google Scholar
Bogdanov A., Khovratovich D., Rechberger D.: Biclique Cryptanalysis of the Full AES. Advances in Cryptology – ASIACRYPT 2011. Lecture Notes in Computer Science 7073. Springer, Berlin 2011.
DOI: https://doi.org/10.1007/978-3-642-25385-0_19
Google Scholar
Borecki M.: Risk level analysis in the selected (initial) stage of the project life cycle. Management and production engineering review 11(4)/2020, 104–112.
Google Scholar
Borecki M., Ciuba M., Kharchenko Y., Khanas Y.: Main aspects influencing the evaluation of atmospheric overvoltages in high-voltage networks. Bull. Pol. Ac.: Tech 69(1)/ 2021, 1–8.
Google Scholar
Buryachok V. L.: The choice of a rational method of generating passwords among many existing. Information security 25(1)/2019, 59–64.
Google Scholar
Buryachok V. L.: Generate a password for wireless networks using variable rule of complication. Information protection 21(1)/2019, 52–59.
DOI: https://doi.org/10.18372/2410-7840.21.13547
Google Scholar
Hughes J., Cybenko G.: Quantitative Metrics and Risk Assessment: The Three Tenets Model of Cybersecurity. Technology Innovation Management Review 2013, 15–24.
DOI: https://doi.org/10.22215/timreview712
Google Scholar
Isa M. A. M., Hashim H., Ab Manan J. L., Adnan S. F. S., Mhmod R.: RF simulator for cryptographic protocol. IEEE International Conference on Control System, Computing and Engineering (ICCSCE), 2014, 518–523.
DOI: https://doi.org/10.1109/ICCSCE.2014.7072773
Google Scholar
Josefsson S., Leonard S.: Textual Encodings of PKIX, PKCS, and CMS Structures. Internet Engineering Task Force April 2015.
DOI: https://doi.org/10.17487/RFC7468
Google Scholar
Khanas, Y., Borecki, M.: Research on the use of algorithms for matrix transformations for encrypting text information. Security and Privacy 3(6)/2020, 1–13.
DOI: https://doi.org/10.1002/spy2.108
Google Scholar
Khanas Y., Ivanciv R., Litvinko S.: The algorithm for minimizing matrices in the given direction of reduction and the rules for their restoration. Visnyk of the National University "Lviv Polytechnic" 882/2017, 12–17.
Google Scholar
Khanas Y., Ivanciv R.: Application Mirroring of Matrices to Prevent Excessive Reduction. Perspective technologies and design methods of MEMST (MEMSTECH 2016), Lviv-Polyana 2016, 143–145.
DOI: https://doi.org/10.1109/MEMSTECH.2016.7507535
Google Scholar
Krasilenko V. G.: Multifunctional parametric matrix-algebraic models (MAM) of cryptographic transformations (CP) with modular operations and their modeling. 72 NPK – conference materials, Odessa 2017, 123–128.
Google Scholar
Krasilenko V. G.: Improvement and modeling of electronic digital signatures of matrix type for textographic documents. Proceedings of the VI International Scientific and Practical Conference "Information Control Systems and Technologies" (IUST-Odessa-2017), Odessa 2017.
Google Scholar
Krasylenko V. G., Nikitovich D. V., Yatskovskaya R. O., Yatskovsky V. I.: Simulation of advanced multi-step 2D RSA algorithms for cryptographic transformations and blind electronic digital signature. Information processing systems 1(156)/2019, 92–100.
Google Scholar
Leurent G., Peyrin T.: SHA-1 is a Shambles. First Chosen-Prefix Collision on SHA-1 and Application to the PGP Web of Trust. Real World Crypto 2020.
Google Scholar
Lobur M. V., Ivantsiv R. D., Kolesnyk K. K., Khanas Y. Y.: Development of an algorithm for reducing matrices depending on their size and content. Scientific and Technical Journal "Instrumentation Technology" 2/2016, 29–31.
Google Scholar
Nazarkevich M. A., Dronyuk I. M., Troyan O. A., Tomashchuk T. Yu.: Development of a method of document protection by latent elements based on fractals. Information protection 17(1)/2015, 21–26.
Google Scholar
Nikonov V. G., Zobov A. I.: On the possibility of using fractal models in the construction of information security systems. Computational nanotechnology 1/2017, 39–49.
Google Scholar
Ortiz S. M., Parra O., Miguel J., Espitia R.: Encryption through the use of fractals. International Journal of Mathematical Analysis 11(21)/2017, 1029–1040.
DOI: https://doi.org/10.12988/ijma.2017.710139
Google Scholar
Wenliang Du: Computer Security: A Hands-on Approach. CreateSpace Independent Publishing Platform, 2017.
Google Scholar
Authors
Yuriy KhanasLviv Polytechnic National University Ukraine
http://orcid.org/0000-0001-6496-5782
Authors
Michał Boreckimichal.borecki@ee.pw.edu.pl
Warsaw University of Technology Poland
http://orcid.org/0000-0001-8907-6906
Statistics
Abstract views: 271PDF downloads: 163
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.