Discrete mathematics is one of the most important scientific areas that form the theoretical basis of modern cryptography. Discrete areas such as prime number theory, modular arithmetic, finite fields, combinatorics, probability theory, graph structures, lattice theory, logical algebra, and algorithm theory form the internal mechanisms of modern encryption algorithms. Each mathematical operation used in the encryption process consists of bounded, discrete arithmetic performed on bits, and it is this discreteness that ensures that cryptosystems are deterministic, reliable, and secure. This article provides a comprehensive analysis of the role of discrete mathematics in various areas of cryptography.
| Mualliflar | Норалиев, Санжарбек |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2025-12-18 |
| Son | 4 |
| Betlar | 107-110 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
дискретная математика, модульная арифметика, теория простых чисел, дискретный логарифм, эллиптические кривые, конечные поля, комбинаторика, теория вероятностей, структурированные графы, LFSR, хэш-функции, вероятность коллизий, ключевое пространство, теория решеток, LWE, Ring-LWE, NTRU, постквантовая криптография, линейная алгебра, сложность алгоритмов, криптоанализ, симметричное шифрование, криптография с открытым ключом, diskret matematika, modulyar arifmetika, tub sonlar nazariyasi, diskret logarifm, elliptik egri chiziqlar, tugallangan maydonlar, kombinatorika, ehtimollar nazariyasi, tuzilmalangan graflar, LFSR, hash funksiyalari, kolliziya ehtimoli, kalit fazosi, panzara nazariyasi, LWE, Ring-LWE, NTRU, post-kvant kriptografiyasi, chiziqli algebra, algoritmlar murakkabligi, kriptotahlil, simmetrik shifrlash, ochiq kalitli kriptografiya., Discrete mathematic, modular arithmetic, prime number theory, discrete logarithm, elliptic curves, finite fields, combinatorics, probability theory
| APA | Норалиев, Санжарбек (2025). APPLICATION OF MATHEMATICAL ELEMENTS IN CRYPTOGRAPHY. Al-Farg'oniy avlodlari, (4), 107-110. https://al-fargoniy.uz/index.php/journal/article/view/956 |
|---|---|
| GOST (OAK) | Норалиев, Санжарбек APPLICATION OF MATHEMATICAL ELEMENTS IN CRYPTOGRAPHY // Al-Farg'oniy avlodlari. – 2025. – № 4. – P. 107-110. |
| MLA | Норалиев, Санжарбек. “APPLICATION OF MATHEMATICAL ELEMENTS IN CRYPTOGRAPHY.” Al-Farg'oniy avlodlari, (4), 107-110, 2025. https://al-fargoniy.uz/index.php/journal/article/view/956 |
| Chicago | Норалиев, Санжарбек. “APPLICATION OF MATHEMATICAL ELEMENTS IN CRYPTOGRAPHY.” Al-Farg'oniy avlodlari, (4), 107-110 (2025). https://al-fargoniy.uz/index.php/journal/article/view/956 |
| Harvard | Норалиев, Санжарбек (2025) ‘APPLICATION OF MATHEMATICAL ELEMENTS IN CRYPTOGRAPHY’, Al-Farg'oniy avlodlari, (4), 107-110. https://al-fargoniy.uz/index.php/journal/article/view/956 |
| BibTeX | @article{article2025,
title = {APPLICATION OF MATHEMATICAL ELEMENTS IN CRYPTOGRAPHY},
author = {Норалиев, Санжарбек},
journal = {Al-Farg'oniy avlodlari},
year = {2025},
number = {4},
pages = {107-110},
url = {https://al-fargoniy.uz/index.php/journal/article/view/956}
} |
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