Results 1 to 10 of about 36 (36)
Современная наука и инновации, 2022 The paper about a new algorithm for division the numbers represented in the residue number system. This algorithm is based on a new Chinese Reminder Theorem with fractional numbers, which made it possible to significantly accelerate the operations.
Nikolay Ivanovich Chervyakov +3 more
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Efficient Number Comparison in the Residue Number System based on Positional Characteristics
Труды Института системного программирования РАН, 2019 An important operation for data processing is a number comparison. In Residue Number System (RNS), it consists of two steps: the computation of the positional characteristic of the number in RNS representation and comparison of its positional ...
Mikhail Grigorievitch Babenko +6 more
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О нестойкости двух симметричных гомоморфных криптосистем, основанных на системе остаточных классов
Информатика и автоматизация, 2019 Одной из наиболее актуальных задач, связанных с защитой облачных вычислений, является анализ криптостойкости гомоморфных шифров. Данная статья посвящена изучению вопроса о защищенности двух недавно предложенных гомоморфных криптосистем, которые, в связи ...
Ludmila Kliment'evna Babenko +1 more
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APPLICATION OF A SYSTEM OF RESIDUAL CLASSES FOR SPECTRAL ANALYSIS BASED ON WAVELET TRANSFORMS
Наука. Инновации. Технологии, 2022 This article provides a comparative analysis of methods and algorithms for identification of characteristics of signals;it is shown that the method of converting a mixed base can effectively implement these procedures in a modular computer.
Irina N. Lavrynenko
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Analysis of algorithms performing basic arithmetic operations in the quadratic RNS
Наука. Инновации. Технологии, 2022 In this paper we explore the question of representing complex numbers in a residue number system and build algorithms for the operations of addition and multiplication. The idea of the construction of such systems is in determining how the set of complex
Lyudmila Borisovna Kopytkova
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Modular integration of a class of exponetial functions
Наука. Инновации. Технологии, 2022 In a paper to inspect the problem of calculation of a modular integral from a class of exponential functions is considered. The basic formula for account of a modular integral is introduced. The example of account of a modular integral is indicated.
A. A. Smirnov +2 more
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Наука. Инновации. Технологии, 2022 This paper proposes a new algorithm for division of numbers in the residue number system, based on the use of the approximate method of comparison of modular numbers.
Nikolay Ivanovich Chervyakov +3 more
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Analysis approaches to construction of arithmetic coprocessors for problems of elliptic cryptography
Наука. Инновации. Технологии, 2022 The article analyzes the methods of finding residue on a large prime modulus and describes an algorithm developed by the authors of the operation to find the residue of a large simple module in the system of residual classes using the approximate method ...
Michail Grigorievich Babenko +2 more
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Algorithms for estimating modular numbers in floating-point arithmetic
Наука. Инновации. Технологии, 2022 In the residue number system (RNS), the operations of addition, subtraction, and multiplication are executed in parallel for different digits (residues) of the modular numbers.
Konstantin Sergeevich Isupov
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Application of adaptive filters based on residue number system for satellite communications
Наука. Инновации. Технологии, 2022 The paper discusses the use of adaptive digital filters based on the Residue Number System for satellite communication systems. The signal distortions is an important problem of the practical use of satellites, which can significantly affect the quality ...
Nikolay Ivanovich Chervyakov +2 more
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