Data privacy issues are increasing significantly in computing systems implemented by the Internet of Things, cloud computing, e-government, artificial intelligence applications, and neural networks. Homomorphic encryption algorithms provide an opportunity to perform algebraic operations on encrypted data without decrypting them. This article explores the algebraic basics needed to understand homomorphic encryption algorithms. The article describes the main fully homomorphic encryption schemes based on various mathematical problems and their fundamental foundations. Cryptographic libraries for homomorphic encryption algorithms and problems related to their implementation are analyzed.
| Mualliflar | Xudoykulov, Z.T., Xudoynazarov, U.U. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2024-12-30 |
| Jild | 7 |
| Son | 4 |
| Betlar | 33-47 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v7i4.217 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v7i4.217 · Maqolaning asl sahifasi
Gomomorfik shifrlash, to‘liq gomomorfik shifrlash, El-Gamal algoritmi, panjaralar, ideal panjara, faktorlash, algebraik strukturalar, bulutli hisolash, Homomorphic encryption, fully homomorphic encryption, El-Gamal algorithm, lattices, ideal lattice, factorization, algebraic structures, cloud computing
| APA | Xudoykulov, Z.T., & Xudoynazarov, U.U. (2024). General Analysis of Homomorphic Encryption Algorithms. Рақамли технологияларнинг назарий ва амалий масалалари, 7(4), 33-47. https://doi.org/10.62132/ijdt.v7i4.217 |
|---|---|
| GOST (OAK) | Xudoykulov, Z.T., Xudoynazarov, U.U. General Analysis of Homomorphic Encryption Algorithms // Рақамли технологияларнинг назарий ва амалий масалалари. – 2024. – T. 7, № 4. – P. 33-47. – DOI: 10.62132/ijdt.v7i4.217. |
| MLA | Xudoykulov, Z.T., and Xudoynazarov, U.U. “General Analysis of Homomorphic Encryption Algorithms.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(4), 33-47, 2024. https://doi.org/10.62132/ijdt.v7i4.217 |
| Chicago | Xudoykulov, Z.T., and Xudoynazarov, U.U. “General Analysis of Homomorphic Encryption Algorithms.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(4), 33-47 (2024). https://doi.org/10.62132/ijdt.v7i4.217 |
| Harvard | Xudoykulov, Z.T., and Xudoynazarov, U.U (2024) ‘General Analysis of Homomorphic Encryption Algorithms’, Рақамли технологияларнинг назарий ва амалий масалалари, 7(4), 33-47. https://doi.org/10.62132/ijdt.v7i4.217 |
| BibTeX | @article{xudoykulovzt2024,
title = {General Analysis of Homomorphic Encryption Algorithms},
author = {Xudoykulov, Z.T. and Xudoynazarov, U.U.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2024},
volume = {7},
number = {4},
pages = {33-47},
doi = {10.62132/ijdt.v7i4.217},
url = {https://doi.org/10.62132/ijdt.v7i4.217}
} |
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