In this paper, the computational efficiency of parametric exponentiation operations within the framework of parametric algebra is analyzed, and an algorithmic approach for their fast computation is proposed. By exploiting the properties of parametric algebra, the possibility of reducing parametric exponentiation operations to fast exponentiation methods is substantiated, and a corresponding computational model is developed. The proposed approach enables more efficient computation of parametric exponentiation and allows the reduction of its computational complexity. T The study provides an important foundation for organizing parametric algebra–based cryptographic computations efficiently and for addressing problems of algorithmic optimization.
| Mualliflar | Xudoynazarov, Umidjon, Xudoykulov, Zarifjon |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-03-06 |
| Son | 1 |
| Betlar | 125-133 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
Parametrli algebra, parametrli ko‘paytirish, parametrli darajaga oshirish, hisoblash samaradorligi, algebraik strukturalar, hisoblash murakkabligi, parametric algebra, parametric multiplication, parametric exponentiation, computational efficiency, algebraic structures, computational complexity.
| APA | Xudoynazarov, Umidjon, & Xudoykulov, Zarifjon (2026). EFFICIENT COMPUTATION IN PARAMETRIC ALGEBRA. Al-Farg'oniy avlodlari, (1), 125-133. https://al-fargoniy.uz/index.php/journal/article/view/1029 |
|---|---|
| GOST (OAK) | Xudoynazarov, Umidjon, Xudoykulov, Zarifjon EFFICIENT COMPUTATION IN PARAMETRIC ALGEBRA // Al-Farg'oniy avlodlari. – 2026. – № 1. – P. 125-133. |
| MLA | Xudoynazarov, Umidjon, and Xudoykulov, Zarifjon. “EFFICIENT COMPUTATION IN PARAMETRIC ALGEBRA.” Al-Farg'oniy avlodlari, (1), 125-133, 2026. https://al-fargoniy.uz/index.php/journal/article/view/1029 |
| Chicago | Xudoynazarov, Umidjon, and Xudoykulov, Zarifjon. “EFFICIENT COMPUTATION IN PARAMETRIC ALGEBRA.” Al-Farg'oniy avlodlari, (1), 125-133 (2026). https://al-fargoniy.uz/index.php/journal/article/view/1029 |
| Harvard | Xudoynazarov, Umidjon, and Xudoykulov, Zarifjon (2026) ‘EFFICIENT COMPUTATION IN PARAMETRIC ALGEBRA’, Al-Farg'oniy avlodlari, (1), 125-133. https://al-fargoniy.uz/index.php/journal/article/view/1029 |
| BibTeX | @article{xudoynazarovumidjon2026,
title = {EFFICIENT COMPUTATION IN PARAMETRIC ALGEBRA},
author = {Xudoynazarov, Umidjon and Xudoykulov, Zarifjon},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {1},
pages = {125-133},
url = {https://al-fargoniy.uz/index.php/journal/article/view/1029}
} |
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