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Journal of Parallel and Distributed Computing, ISSN 0743-7315, 11/2016, Volume 97, pp. 78 - 95
We identify a canonical parameter in the Chinese Remainder Theorem (CRT) and call it the “Reconstruction Coefficient”, (denoted by “RC”); and introduce the... 
Fast sign detection | Reduced precision | Reconstruction coefficient | RNS | Residue number systems | Partial reconstruction | MODULAR MULTIPLICATION | COMPUTER SCIENCE, THEORY & METHODS | CONVERTER | Algorithms | Reconstruction | Distributed processing | Theorems | Run time (computers) | Constants | Channels | Delay
Journal Article
Journal of Signal Processing Systems, ISSN 1939-8018, 06/2017, Volume 87, Issue 3, pp. 343 - 356
This paper is focused on error-free solution of dense linear systems using residual arithmetic in hardware. The designed Modular System uses hardware identical... 
System of linear congruences | System of linear equations | Error-free computation | Residue number system | FPGA | Modular arithmetic | EQUATIONS | COMPUTER SCIENCE, INFORMATION SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Computers and Electrical Engineering, ISSN 0045-7906, 05/2019, Volume 75, pp. 61 - 76
Journal Article
03/2015, Applied mechanics and materials, Volume 34-35, 2043
This special collection of 390 peer-reviewed papers was contributed to by researchers from various disciplines: Mechanical Engineering Design, Green... 
Sustainable engineering | Mechanical engineering
eBook
Analog Integrated Circuits and Signal Processing, ISSN 0925-1030, 11/2013, Volume 77, Issue 2, pp. 105 - 112
Journal Article
ETRI Journal, ISSN 1225-6463, 04/2016, Volume 38, Issue 2, pp. 326 - 336
Journal Article
2016 International Conference on Design and Technology of Integrated Systems in Nanoscale Era (DTIS), 04/2016, pp. 1 - 4
Implementation attacks and more specifically Power Analysis (PA) (the dominant type of side channel attack) and fault injection (FA) attacks constitute a... 
Resistance | Algorithm design and analysis | Elliptic curve cryptography | Electronic mail | Fault detection | Manganese | Faults | Multiplication | Residue number systems | Countermeasures | Scalars | Security | Cryptography | Channels
Conference Proceeding
EURASIP Journal on Advances in Signal Processing, ISSN 1687-6172, 12/2018, Volume 2018, Issue 1, pp. 1 - 16
Journal Article
IEEE Transactions on Circuits and Systems I: Regular Papers, ISSN 1549-8328, 2013, Volume 60, Issue 11, pp. 2962 - 2972
Journal Article
Компьютерная оптика, ISSN 0134-2452, 10/2019, Volume 43, Issue 5, pp. 901 - 911
The article introduces and explores new systems of parallel machine arithmetic associated with the representation of data in the redundant number system with... 
discrete convolution | number system | modular arithmetic | residue number systems
Journal Article
Journal of Cryptographic Engineering, ISSN 2190-8508, 9/2018, Volume 8, Issue 3, pp. 189 - 200
This paper is a survey of Montgomery reduction in the context of residue number system arithmetic. We present the main variants of RNS Montgomery reduction,... 
RSA | ECC | Chinese remainder theorem | Data Encryption | Operating Systems | Data Structures, Cryptology and Information Theory | Lattice-based cryptography | Computer Science | Communications Engineering, Networks | Montgomery reduction | Circuits and Systems | Residue number system | Hardware architecture | Computer Communication Networks
Journal Article
Journal of Circuits, Systems and Computers, ISSN 0218-1266, 01/2018, Volume 27, Issue 1
Residue number system (RNS), due to its carry-free nature, is popular in many applications of high-speed computer arithmetic, especially in digital signal... 
interval estimation | magnitude comparison | residue number system | Computer arithmetic | high performance | CHINESE REMAINDER THEOREM | DIVISION ALGORITHM | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | MIXED-RADIX CONVERSION | RNS | 2(N)-1 | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Cybernetics and Systems Analysis, ISSN 1060-0396, 1/2016, Volume 52, Issue 1, pp. 145 - 150
Journal Article
Cybernetics and Systems Analysis, ISSN 1060-0396, 11/2014, Volume 50, Issue 6, pp. 977 - 984
This paper presents a new method and algorithms for dividing modular numbers on the basis of the use of dividend and divisor values relative with respect to... 
Processor Architectures | division | modular arithmetic | Systems Theory, Control | Artificial Intelligence (incl. Robotics) | Software Engineering/Programming and Operating Systems | Mathematics | residue number system | algorithm | Models | Algorithms | Image processing | Methods
Journal Article
Cybernetics and Systems Analysis, ISSN 1060-0396, 3/2018, Volume 54, Issue 2, pp. 336 - 344
Journal Article
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