NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION
The article studies the problem of creating a neural network of modular computing structures for highperformance expressions in the field of information security. The main attention is paid to the reduction technology of position-modular transformation of scalable integers, which serves as the basis...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | Russian |
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The United Institute of Informatics Problems of the National Academy of Sciences of Belarus
2018-06-01
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| Series: | Informatika |
| Subjects: | |
| Online Access: | https://inf.grid.by/jour/article/view/251 |
| _version_ | 1797877300295892992 |
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| author | N. I. Chervyakov A. A. Kolyada N. A. Kolyada V. A. Kuchukov S. U. Protasenia |
| author_facet | N. I. Chervyakov A. A. Kolyada N. A. Kolyada V. A. Kuchukov S. U. Protasenia |
| author_sort | N. I. Chervyakov |
| collection | DOAJ |
| description | The article studies the problem of creating a neural network of modular computing structures for highperformance expressions in the field of information security. The main attention is paid to the reduction technology of position-modular transformation of scalable integers, which serves as the basis for constructing the so-called neural networks of the finite ring (NNFR). To increase the speed of convergence of the reduction scheme used to reduce the number of elements of the generated sequence of residues, an effective tabular method is proposed. The developed approach makes it possible to reduce the number of iterations of the reduction process to a theoretical minimum. This is achieved through flexible adaptive mechanism check botheration deductions to a special range, allowing a tabular decomposition of its elements into pairs of residues in modules of the modular number system. On the basis of a modified reduction method there was synthesized a fast algorithm and a parallel structure of the NNFR with feedback, which ensures the implementation of the reduction scheme in a time order (S(⌈log2b⌉+1) +2)tsum, were S – the number of iterations, b – the bit width of the input number, – the duration of the addition operation of two deductions. |
| first_indexed | 2024-04-10T02:15:56Z |
| format | Article |
| id | doaj.art-3bbfd81dcdab4ebfa703ba9be8681bd4 |
| institution | Directory Open Access Journal |
| issn | 1816-0301 |
| language | Russian |
| last_indexed | 2024-04-10T02:15:56Z |
| publishDate | 2018-06-01 |
| publisher | The United Institute of Informatics Problems of the National Academy of Sciences of Belarus |
| record_format | Article |
| series | Informatika |
| spelling | doaj.art-3bbfd81dcdab4ebfa703ba9be8681bd42023-03-13T08:32:20ZrusThe United Institute of Informatics Problems of the National Academy of Sciences of BelarusInformatika1816-03012018-06-0115298110276NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATIONN. I. Chervyakov0A. A. Kolyada1N. A. Kolyada2V. A. Kuchukov3S. U. Protasenia4North-Caucasus Federal University, StavropolScientific Research Institution "Institute of Applied Physical Problems named after A. N. Sevchenko" of the Belarusian State University, MinskScientific Research Institution "Institute of Applied Physical Problems named after A. N. Sevchenko" of the Belarusian State University, MinskNorth-Caucasus Federal University, StavropolScientific Research Institution "Institute of Applied Physical Problems named after A. N. Sevchenko" of the Belarusian State University, MinskThe article studies the problem of creating a neural network of modular computing structures for highperformance expressions in the field of information security. The main attention is paid to the reduction technology of position-modular transformation of scalable integers, which serves as the basis for constructing the so-called neural networks of the finite ring (NNFR). To increase the speed of convergence of the reduction scheme used to reduce the number of elements of the generated sequence of residues, an effective tabular method is proposed. The developed approach makes it possible to reduce the number of iterations of the reduction process to a theoretical minimum. This is achieved through flexible adaptive mechanism check botheration deductions to a special range, allowing a tabular decomposition of its elements into pairs of residues in modules of the modular number system. On the basis of a modified reduction method there was synthesized a fast algorithm and a parallel structure of the NNFR with feedback, which ensures the implementation of the reduction scheme in a time order (S(⌈log2b⌉+1) +2)tsum, were S – the number of iterations, b – the bit width of the input number, – the duration of the addition operation of two deductions.https://inf.grid.by/jour/article/view/251neural networkneural network end ringsa neural network with feedbackthe synaptic weightmodular number systemmodular arithmeticreducing the scheme of reduction of bit numbersthe table method |
| spellingShingle | N. I. Chervyakov A. A. Kolyada N. A. Kolyada V. A. Kuchukov S. U. Protasenia NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION Informatika neural network neural network end rings a neural network with feedback the synaptic weight modular number system modular arithmetic reducing the scheme of reduction of bit numbers the table method |
| title | NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION |
| title_full | NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION |
| title_fullStr | NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION |
| title_full_unstemmed | NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION |
| title_short | NEURAL NETWORKS OF THE FINAL RING BASED ON THE REDUCTION SCHEME OF THE POSITION-MODULAR-CODE TRANSFORMATION |
| title_sort | neural networks of the final ring based on the reduction scheme of the position modular code transformation |
| topic | neural network neural network end rings a neural network with feedback the synaptic weight modular number system modular arithmetic reducing the scheme of reduction of bit numbers the table method |
| url | https://inf.grid.by/jour/article/view/251 |
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