Use of Hermitian Matrices in Strip-Transformation
The method of improving the strength of strip-method with the purpose of image masking at transmission in information system by using orthogonal matrices obtained by calculation of eigenvectors of complex-conjugate Hermitian matrices is considered. It is suggested that the use of Hermitian matrices...
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Springer Science and Business Media Deutschland GmbH
2024
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ir-123456789-292512024-11-27T12:11:35Z Use of Hermitian Matrices in Strip-Transformation Zhuk, A. P. Жук, А. П. Stogniy, K. V. Стогний, К. В. Autocorrelation Strip-transformation Cross-correlation Eigenvectors Hermitian matrix Image masking Image transfer Orthogonal matrices The method of improving the strength of strip-method with the purpose of image masking at transmission in information system by using orthogonal matrices obtained by calculation of eigenvectors of complex-conjugate Hermitian matrices is considered. It is suggested that the use of Hermitian matrices as a source of orthogonal sequences will increase the number of possible variants of generated orthogonal matrices, which will make it more difficult to find these matrices for an attacker. The method of optimization of calculation, generation and storage of Hermitian matrices by using tridiagonal Hermitian matrices is proposed. The specifics of calculating the eigenvectors of Hermitian matrices are described, and their study by the criterion of peaks of autocorrelation and cross-correlation functions, which is important from the aspect of reducing the probability of establishing false synchronization in the communication channel is performed. 2024-11-27T12:10:30Z 2024-11-27T12:10:30Z 2024 Статья Zhuk A., Stogniy K. Use of Hermitian Matrices in Strip-Transformation // Lecture Notes in Networks and Systems. - 2024. - 863 LNNS. - pp. 337 - 344. - DOI: 10.1007/978-3-031-72171-7_35 https://dspace.ncfu.ru/handle/123456789/29251 en Lecture Notes in Networks and Systems application/pdf Springer Science and Business Media Deutschland GmbH |
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| language |
English |
| topic |
Autocorrelation Strip-transformation Cross-correlation Eigenvectors Hermitian matrix Image masking Image transfer Orthogonal matrices |
| spellingShingle |
Autocorrelation Strip-transformation Cross-correlation Eigenvectors Hermitian matrix Image masking Image transfer Orthogonal matrices Zhuk, A. P. Жук, А. П. Stogniy, K. V. Стогний, К. В. Use of Hermitian Matrices in Strip-Transformation |
| description |
The method of improving the strength of strip-method with the purpose of image masking at transmission in information system by using orthogonal matrices obtained by calculation of eigenvectors of complex-conjugate Hermitian matrices is considered. It is suggested that the use of Hermitian matrices as a source of orthogonal sequences will increase the number of possible variants of generated orthogonal matrices, which will make it more difficult to find these matrices for an attacker. The method of optimization of calculation, generation and storage of Hermitian matrices by using tridiagonal Hermitian matrices is proposed. The specifics of calculating the eigenvectors of Hermitian matrices are described, and their study by the criterion of peaks of autocorrelation and cross-correlation functions, which is important from the aspect of reducing the probability of establishing false synchronization in the communication channel is performed. |
| format |
Статья |
| author |
Zhuk, A. P. Жук, А. П. Stogniy, K. V. Стогний, К. В. |
| author_facet |
Zhuk, A. P. Жук, А. П. Stogniy, K. V. Стогний, К. В. |
| author_sort |
Zhuk, A. P. |
| title |
Use of Hermitian Matrices in Strip-Transformation |
| title_short |
Use of Hermitian Matrices in Strip-Transformation |
| title_full |
Use of Hermitian Matrices in Strip-Transformation |
| title_fullStr |
Use of Hermitian Matrices in Strip-Transformation |
| title_full_unstemmed |
Use of Hermitian Matrices in Strip-Transformation |
| title_sort |
use of hermitian matrices in strip-transformation |
| publisher |
Springer Science and Business Media Deutschland GmbH |
| publishDate |
2024 |
| url |
https://dspace.ncfu.ru/handle/123456789/29251 |
| work_keys_str_mv |
AT zhukap useofhermitianmatricesinstriptransformation AT žukap useofhermitianmatricesinstriptransformation AT stogniykv useofhermitianmatricesinstriptransformation AT stognijkv useofhermitianmatricesinstriptransformation |
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1842245713693507584 |