STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION
The article considers and theoretically substantiates the results of checking the correctness of the proposed mathematical model for constructing a direct and inverse two-operand group matrix cryptographic transformation using mathematical apparatus of block matrix theory. According to the results o...
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| Format: | Article |
| Language: | English |
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Cherkasy State Technological University
2018-03-01
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| Series: | Вісник Черкаського державного технологічного університету |
| Subjects: | |
| Online Access: | http://vtn.chdtu.edu.ua/article/view/153277 |
| _version_ | 1827852876597166080 |
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| author | Є. В. Ланських С. В. Сисоєнко |
| author_facet | Є. В. Ланських С. В. Сисоєнко |
| author_sort | Є. В. Ланських |
| collection | DOAJ |
| description | The article considers and theoretically substantiates the results of checking the correctness of the proposed mathematical model for constructing a direct and inverse two-operand group matrix cryptographic transformation using mathematical apparatus of block matrix theory. According to the results of the research, the correctness of mathematical model for constructing an inverse group matrix cryptographic transformation has been established, which is tested on complete sets of group and non-group operations. The proposed model for constructing an inverse group matrix cryptographic transformation provides the correct synthesis of inverse transformation in the absence of non-group operations on the main diagonal of the matrix of group operation. The obtained results confirm the correct construction of inverse transformation on the basis of the proposed model, the implementation of which provides a reduction in the complexity of calculations. This result has shown the correctness of finding the inverse matrix with the help of proposed model. |
| first_indexed | 2024-03-12T10:56:29Z |
| format | Article |
| id | doaj.art-6ed252086cfe4c5aab41b5f315f9bf76 |
| institution | Directory Open Access Journal |
| issn | 2306-4412 2708-6070 |
| language | English |
| last_indexed | 2024-03-12T10:56:29Z |
| publishDate | 2018-03-01 |
| publisher | Cherkasy State Technological University |
| record_format | Article |
| series | Вісник Черкаського державного технологічного університету |
| spelling | doaj.art-6ed252086cfe4c5aab41b5f315f9bf762023-09-02T06:14:11ZengCherkasy State Technological UniversityВісник Черкаського державного технологічного університету2306-44122708-60702018-03-0111677410.24025/2306-4412.1.2018.153277153277STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATIONЄ. В. Ланських0С. В. Сисоєнко1Черкаський державний технологічний університет б-р Шевченка, 460, м. Черкаси, 18006, УкраїнаЧеркаський державний технологічний університет б-р Шевченка, 460, м. Черкаси, 18006, УкраїнаThe article considers and theoretically substantiates the results of checking the correctness of the proposed mathematical model for constructing a direct and inverse two-operand group matrix cryptographic transformation using mathematical apparatus of block matrix theory. According to the results of the research, the correctness of mathematical model for constructing an inverse group matrix cryptographic transformation has been established, which is tested on complete sets of group and non-group operations. The proposed model for constructing an inverse group matrix cryptographic transformation provides the correct synthesis of inverse transformation in the absence of non-group operations on the main diagonal of the matrix of group operation. The obtained results confirm the correct construction of inverse transformation on the basis of the proposed model, the implementation of which provides a reduction in the complexity of calculations. This result has shown the correctness of finding the inverse matrix with the help of proposed model.http://vtn.chdtu.edu.ua/article/view/153277пряме та обернене криптографічне перетвореннядвохоперандні криптографічні перетвореннякоректність моделіматрична операція |
| spellingShingle | Є. В. Ланських С. В. Сисоєнко STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION Вісник Черкаського державного технологічного університету пряме та обернене криптографічне перетворення двохоперандні криптографічні перетворення коректність моделі матрична операція |
| title | STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION |
| title_full | STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION |
| title_fullStr | STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION |
| title_full_unstemmed | STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION |
| title_short | STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION |
| title_sort | study of mathematical model of two operand group matrix cryptographic transformation |
| topic | пряме та обернене криптографічне перетворення двохоперандні криптографічні перетворення коректність моделі матрична операція |
| url | http://vtn.chdtu.edu.ua/article/view/153277 |
| work_keys_str_mv | AT êvlansʹkih studyofmathematicalmodeloftwooperandgroupmatrixcryptographictransformation AT svsisoênko studyofmathematicalmodeloftwooperandgroupmatrixcryptographictransformation |