Results 31 to 40 of about 1,104,642 (331)
Hybrid Position-Residues Number System [PDF]
2016 IEEE 23nd Symposium on Computer Arithmetic (ARITH), 2016 We propose an hybrid representation of large integers , or prime field elements, combining both positional and residue number systems (RNS). Our hybrid position-residues (HPR) number system mixes a high-radix positional representation and digits represented in RNS.
Bigou, Karim, Tisserand, Arnaud
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Practical Evaluation of Protected Residue Number System Scalar Multiplication
Transactions on Cryptographic Hardware and Embedded Systems, 2018 The Residue Number System (RNS) arithmetic is gaining grounds in public key cryptography, because it offers fast, efficient and secure implementations over large prime fields or rings of integers.
Louiza Papachristodoulou +3 more
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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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A Multifunctional Unit for Designing Efficient RNS-Based Datapaths
IEEE Access, 2017 Inter-modulo operations are the most time consuming and costly operations of the residue number system (RNS), and one of the main obstacles to applying RNS in practice to the design of computing devices, namely for signed integer arithmetic.
Amir Sabbagh Molahosseini +3 more
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Sign determination in residue number systems
Theoretical Computer Science, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brönnimann, Hervé +3 more
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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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Support vector machines implementation over integers modulo-M and Residue Number System
Dyna, 2023 In low-power hardware implementations for classification algorithms, it is often essential to use physical resources efficiently. In this sense, the use of modulo-M integer operations instead of floating-point arithmetic, can lead to better performance,
Sergio Andrés Arenas-Hoyos +1 more
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Corresponding residue systems in algebraic number fields [PDF]
Pacific Journal of Mathematics, 1956 \(F_1\) und \(F_2\) seien zwei Unterkörper eines endlich algebraischen Zahlkorpers \(F\); \(\mathfrak a_1\) und \(\mathfrak a_2\) zwei Ideale in \(F_1\) bzw. \(F_2\), die in \(F\) dasselbe Ideal \(\mathfrak a\) erzeugen. Die Verff. untersuchen, unter welchen Bedingungen es zu jeder ganzen Zahl \(\alpha_1\) aus \(F_1\) eine Lösung \(\alpha_2\in F_2 ...
Butts, H. S., Mann, H. B.
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, 2006 The novel family of redundant residue number system (RRNS) codes is studied. RRNS codes constitute maximum–minimum distance block codes, exhibiting identical distance properties to Reed–Solomon codes.
Hanzo, L., Liew, T.H., Yang, L-L.
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Markov filtration of digital signals in residue number system
Наука. Инновации. Технологии, 2022 The article deals with signal processing algorithms, which are approximated by Markov chains on a background noise of Markov type. It is shown that the implementation of this algorithm requires significant hardware costs. Proposed to reduce them by using
Valeriy Andreevich Pesoshin +2 more
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