While non-linear S-tables are important in the security of symmetric cryptosystems, their hardware implementation also requires a large number of logic elements compared to the rest of the mappings. This makes it necessary to reduce the number of required logic elements in the hardware implementation of S tables. In practice, SAT solver, K-map, and Quine-McCluskey algorithms are used to solve these problems. In this paper, the problem of compactification by factorization of logical functions obtained from K-map and Quine-McCluskey algorithms is solved. 4×4 and 5×5 bit S tables were analyzed using the proposed algorithm as a solution to the problem. The results of the analysis showed that the number of OR and AND operations involved in logical functions as a result of factoring after K-map reflection decreased by 23.51% on average for 4×4 bit S tables. The number of OR and AND operations involved in logical functions as a result of factoring after the QuineMcCluskey algorithm was 23 and showed a decrease of 24%. This indicator was equal to 30.29% in the case of K-map mapping and 30.48% in the case of the QuineMcCluskey algorithm for 5x5-bit S-tables.
| Mualliflar | Ганиев, С.К., Худойкулов, З.Т. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2024-10-09 |
| Jild | 7 |
| Son | 3 |
| Betlar | 105-111 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v7i3.203 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v7i3.203 · Maqolaning asl sahifasi
Таблица S, LUT (таблица поиска), сумма произведений («сумма продуктов», SOP), произведение сумм («произведение сумм», POS), K-map, Quine-McCluskey, факторинг, решатель SAT, S table, LUT (lookup table), sum of products, SOP, product of sums, POS, K-map, Quine-McCluskey, factorization, SAT solver
| APA | Ганиев, С.К., & Худойкулов, З.Т. (2024). Improvement of hardware implementation of S tables based on factoring. Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 105-111. https://doi.org/10.62132/ijdt.v7i3.203 |
|---|---|
| GOST (OAK) | Ганиев, С.К., Худойкулов, З.Т. Improvement of hardware implementation of S tables based on factoring // Рақамли технологияларнинг назарий ва амалий масалалари. – 2024. – T. 7, № 3. – P. 105-111. – DOI: 10.62132/ijdt.v7i3.203. |
| MLA | Ганиев, С.К., and Худойкулов, З.Т. “Improvement of hardware implementation of S tables based on factoring.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 105-111, 2024. https://doi.org/10.62132/ijdt.v7i3.203 |
| Chicago | Ганиев, С.К., and Худойкулов, З.Т. “Improvement of hardware implementation of S tables based on factoring.” Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 105-111 (2024). https://doi.org/10.62132/ijdt.v7i3.203 |
| Harvard | Ганиев, С.К., and Худойкулов, З.Т (2024) ‘Improvement of hardware implementation of S tables based on factoring’, Рақамли технологияларнинг назарий ва амалий масалалари, 7(3), 105-111. https://doi.org/10.62132/ijdt.v7i3.203 |
| BibTeX | @article{article2024,
title = {Improvement of hardware implementation of S tables based on factoring},
author = {Ганиев, С.К. and Худойкулов, З.Т.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2024},
volume = {7},
number = {3},
pages = {105-111},
doi = {10.62132/ijdt.v7i3.203},
url = {https://doi.org/10.62132/ijdt.v7i3.203}
} |
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