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Sign Detection in Residue Number Systems [PDF]
IEEE Transactions on Computers, 1969 This paper is concerned with the sign detection problem in residue number systems. The proposed solution is applicable only to nonredundant systems. It is shown that under rather general conditions an explicit, closed formula for the sign function can be obtained. In a special case, when one of the moduli is 2, the sign function becomes an EXCLUSIVE-OR
Dilip K. Banerji, Janusz A. Brzozowski
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Pipelined Two-Operand Modular Adders [PDF]
Radioengineering, 2015 Pipelined two-operand modular adder (TOMA) is one of basic components used in digital signal processing (DSP) systems that use the residue number system (RNS).
M. Czyzak, J. Horiszny, R. Smyk
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Towards Robustness in Residue Number Systems [PDF]
IEEE Transactions on Signal Processing, 2016 The problem of robustly reconstructing a large number from its erroneous remainders with respect to several moduli, namely the robust remaindering problem, may occur in many applications including phase unwrapping, frequency detection from several ...
Huo, Haiye, Xia, Xiang-Gen, Xiao, Li
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From principal component to direct coupling analysis of coevolution in proteins: low-eigenvalue modes are needed for structure prediction. [PDF]
PLoS Computational Biology, 2013 Various approaches have explored the covariation of residues in multiple-sequence alignments of homologous proteins to extract functional and structural information. Among those are principal component analysis (PCA), which identifies the most correlated
Simona Cocco +2 more
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Generating Residue Number System Bases [PDF]
2021 IEEE 28th Symposium on Computer Arithmetic (ARITH), 2021 Residue number systems provide efficient techniques for speeding up calculations and/or protecting against side channel attacks when used in the context of cryptographic engineering. One of the interests of such systems is their scalability, as the existence of large bases for some specialized systems is often an open question.
Jean-Claude Bajard +5 more
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Application of Residue Number Systems in enhancing the transmission of secured videos [PDF]
Revista Română de Informatică și Automatică, 2021 Full video Encryption has been established as the most suitable technique to guarantee the security of digital video data during transmission but cannot be widely adopted because of its large disk space and long processing time.
Akinbowale Nathaniel BABATUNDE +1 more
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Determining the rank of a number in the residue number system [PDF]
3rd International Workshop on Information, Computation, and Control Systems for Distributed Environments 2021, 2021 In this article, the formulation and proof of the theorem on the difference in the ranks of the numbers represented in the Residue Number System is carried out. A method is proposed that allows to reduce the amount of necessary calculations and increases the speed of calculating the rank of a number relative to the method for calculating the rank of a ...
Mikhail G. Babenko +6 more
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Number systems in modular rings and their applications to "error-free" computations [PDF]
Компьютерная оптика, 2019 The article introduces and explores new systems of parallel machine arithmetic associated with the representation of data in the redundant number system with the basis, the formative sequences of degrees of roots of the characteristic polynomial of the ...
Vladimir Chernov
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Parallel machine arithmetic for recurrent number systems in non-quadratic fields [PDF]
Компьютерная оптика, 2020 The paper proposes a new method of synthesis of computer arithmetic systems for "error-free" parallel calculations. The difference between the proposed approach and calculations in traditional systems of Residue Number Systems for the direct sum of ...
Vladimir Chernov
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Designing of fault-tolerant computer system structures using residue number systems
Open Computer Science, 2022 This article discusses computing systems that operate in residue number systems (RNSs). The main direction of improving computer systems (CSs) is increasing the speed of implementation of arithmetic operations and the reliability of their functioning ...
Krasnobayev Victor +2 more
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