Matrix reflections are one of the main mechanisms of modern cryptographic algorithms. They play an important role in increasing the diffusion strength, creating protection against linearity, forming complex structures in lattice-based public-key schemes, and mathematically representing the evolution of the internal state in stream ciphers. This article provides an in-depth analysis of the theoretical foundations of matrix reflections, their role in block and stream ciphers, the construction of MDS matrices, as well as the cryptographic significance of basis matrices in lattice cryptosystems.
| Mualliflar | Джораев, Эльмурод |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2025-12-18 |
| Son | 4 |
| Betlar | 102-106 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
векторное пространство, линейные отображения, матричные отображения, матрицы MDS, конечные поля, современные шифры, vector space, linear mappings, matrix mappings, MDS matrices, finite fields, modern ciphers, vektor fazo, chiziqli akslantirishlar, matritsali akslantirishlar, MDS-matritsalar, tugallangan maydonlar, zamonaviy shifrlar
| APA | Джораев, Эльмурод (2025). APPLICATION OF MATRIX REPRESENTATIONS IN CRYPTOGRAPHIC ALGORITHMS. Al-Farg'oniy avlodlari, (4), 102-106. https://al-fargoniy.uz/index.php/journal/article/view/955 |
|---|---|
| GOST (OAK) | Джораев, Эльмурод APPLICATION OF MATRIX REPRESENTATIONS IN CRYPTOGRAPHIC ALGORITHMS // Al-Farg'oniy avlodlari. – 2025. – № 4. – P. 102-106. |
| MLA | Джораев, Эльмурод. “APPLICATION OF MATRIX REPRESENTATIONS IN CRYPTOGRAPHIC ALGORITHMS.” Al-Farg'oniy avlodlari, (4), 102-106, 2025. https://al-fargoniy.uz/index.php/journal/article/view/955 |
| Chicago | Джораев, Эльмурод. “APPLICATION OF MATRIX REPRESENTATIONS IN CRYPTOGRAPHIC ALGORITHMS.” Al-Farg'oniy avlodlari, (4), 102-106 (2025). https://al-fargoniy.uz/index.php/journal/article/view/955 |
| Harvard | Джораев, Эльмурод (2025) ‘APPLICATION OF MATRIX REPRESENTATIONS IN CRYPTOGRAPHIC ALGORITHMS’, Al-Farg'oniy avlodlari, (4), 102-106. https://al-fargoniy.uz/index.php/journal/article/view/955 |
| BibTeX | @article{article2025,
title = {APPLICATION OF MATRIX REPRESENTATIONS IN CRYPTOGRAPHIC ALGORITHMS},
author = {Джораев, Эльмурод},
journal = {Al-Farg'oniy avlodlari},
year = {2025},
number = {4},
pages = {102-106},
url = {https://al-fargoniy.uz/index.php/journal/article/view/955}
} |
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