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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Theory and Methods of Constructing of Modules System of the Perfect Modified Form of the System of Residual Classes

卷 48, 册 8, 2016, pp. 56-63
DOI: 10.1615/JAutomatInfScien.v48.i8.60
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摘要

The paper contains the theoretical backgrounds and methods of finding the system of modules of modified perfect form of the system of residual classes, thus reducing the computational complexity by avoiding the most labor-intensive operation − finding the inverse element by module. The proposed theory is presented on examples of a three-modules system and is a background for the calculation of the modified perfect form of the system of residual classes for the greater number of modules.

对本文的引用
  1. Rajba Teresa, Klos-Witkowska Aleksandra, Ivasiev Stepan, Yakymenko Igor, Kasianchuk Mykhailo, Research of time characteristics of search methods of inverse element by the module, 2017 9th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS), 2017. Crossref

  2. Kasianchuk Mykhaylo, Yakymenko Ihor, Pazdriy Ihor, Melnyk Andriy, Ivasiev Stepan, Rabin's modified method of encryption using various forms of system of residual classes, 2017 14th International Conference The Experience of Designing and Application of CAD Systems in Microelectronics (CADSM), 2017. Crossref

  3. Karpinski Mikolaj, Rajba Stanislaw, Zawislak Stanislaw, Warwas Kornel, Kasianchuk Mykhailo, Ivasiev Stepan, Yakymenko Igor, A Method for Decimal Number Recovery from its Residues Based on the Addition of the Product Modules, 2019 10th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS), 2019. Crossref

  4. Ivasiev Stepan, Kasianchuk Mykhailo, Yakymenko Igor, Shevchuk Ruslan, Karpinski Mikolaj, Gomotiuk Oksana, Effective Algorithms for Finding the Remainder of Multi-Digit Numbers, 2019 9th International Conference on Advanced Computer Information Technologies (ACIT), 2019. Crossref

  5. Yakymenko Ihor, Kasianchuk Mykhailo, Gomotiuk Oksana, Tereshchuk Grygorii, Ivasiev Stepan, Basistyi Pavlo, Elgamal cryptoalgorithm on the basis of the vector-module method of modular exponentiation and multiplication, 2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET), 2020. Crossref

  6. Voronych Artur, Vozna Nataliya, Zastavnyy Oleg, Pastukh Taras, Grynchyshyn Taras, Multichannel system for structuring and transmission entropy-manipulated cipher signals, 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET), 2018. Crossref

  7. Yakymenko I. Z., Kasianchuk M. M., Ivasiev S. V., Melnyk A. M., Nykolaichuk Ya. M., Realization of Rsa cryptographic algorithm based on vector-module method of modular exponention, 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET), 2018. Crossref

  8. Yakymenko Igor, Kasianchuk Mykhailo, Yatskiv Vasyl, Shevchuk Ruslan, Koval Vasyl, Yatskiv Solomiya, Sustainability and Time Complexity Estimation of Сryptographic Algorithms Main Operations on Elliptic Curves, 2021 11th International Conference on Advanced Computer Information Technologies (ACIT), 2021. Crossref

  9. Babak Vitaliy P., Babak Serhii V., Eremenko Volodymyr S., Kuts Yurii V., Myslovych Mykhailo V., Scherbak Leonid M., Zaporozhets Artur O., Examples of Using Models and Measures on the Circle, in Models and Measures in Measurements and Monitoring, 360, 2021. Crossref

  10. Kasianchuk M. M., Yakymenko I. Z., Nykolaychuk Ya. M., Symmetric Cryptoalgorithms in the Residue Number System, Cybernetics and Systems Analysis, 57, 2, 2021. Crossref

  11. Nykolaychuk Ya. M., Yakymenko I. Z., Vozna N. Ya., Kasianchuk M. M., Residue Number System Asymmetric Cryptoalgorithms, Cybernetics and Systems Analysis, 58, 4, 2022. Crossref

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