Results 21 to 30 of about 8,051 (256)
New Residue Arithmetic Based Barrett Algorithms: Modular Integer Computations
IEEE Access, 2016 In this paper, we derive new computational techniques for residue number systems (RNSs)-based Barrett algorithm (BA). The focus of this paper is an algorithm that carries out the entire computation using only modular arithmetic without conversion to ...
Hari Krishna Garg, Hanshen Xiao
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Error-Correction Coding Using Polynomial Residue Number System
Applied Sciences, 2022 There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems.
Igor Anatolyevich Kalmykov +4 more
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METHOD FOR THE CONTROL VERIFICATION OF DIGITAL INFORMATION, REPRESENTED IN A RESIDUE NUMBER SYSTEM
Сучасні інформаційні системи, 2020 The subject of the research in the article is the control methods for the data presented in the residue number system. The object of research is the process of monitoring data presented in the residue number system.
Victor Krasnobayev +2 more
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Design of reverse converters for the general RNS 3-moduli set {2 k , 2 n − 1, 2 n + 1}
EURASIP Journal on Advances in Signal Processing, 2023 This paper presents a new design method of the reverse (residue-to-binary) converter for the flexible 3-moduli residue number system (RNS) set $$\{ 2^k, 2^n-1, 2^n+1 \}$$ { 2 k , 2 n - 1 , 2 n + 1 } , where k and n are a pair of arbitrary integers $$\ge ...
Piotr Patronik, Stanisław J. Piestrak
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Enhanced image security using residue number system and new Arnold transform
Jurnal Teknologi dan Sistem Komputer, 2021 This paper aims to improve the image scrambling and encryption effect in traditional two-dimensional discrete Arnold transform by introducing a new Residue number system (RNS) with three moduli and the New Arnold Transform. The study focuses on improving
Akinbowale Nathaniel Babatunde +3 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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Cognitive and Neuroimaging Divergence Between Juvenile and Adult FUS Amyotrophic Lateral Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a neurodegenerative disorder characterized by progressive motor neuron degeneration. Fused in sarcoma (FUS)‐associated juvenile ALS (jALS) represents a distinct and aggressive subgroup with rapid deterioration and poor prognosis.
Alexandra V. Jürs +7 more
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Efficient multiplication for finite fields of p characteristic
Tongxin xuebao, 2009 Based on residue arithmetic,a new form of polynomial named PAPB in Fp[x] had been constructed.The amount and distribution of such irreducible polynomials had also been investigated.Then,an efficient algorithm for multiplication modulo PAPB had been ...
LI Yin 1, CHEN Gong-liang1, LI Jian-hua1
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Using Floating-Point Intervals for Non-Modular Computations in Residue Number System
IEEE Access, 2020 The residue number system (RNS) provides parallel, carry-free, and high-speed arithmetic and is therefore a good tool for high-performance computing. However, operations such as magnitude comparison, sign computation, overflow detection, scaling, and ...
Konstantin Isupov
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Entropy, 2022 In this paper, we deal with the critical problems in residue arithmetic. The reverse conversion from a Residue Number System (RNS) to positional notation is a main non-modular operation, and it constitutes a basis of other non-modular procedures used to ...
Mikhail Selianinau, Yuriy Povstenko
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