Residue number systems: A new paradigm to datapath optimization for low-power and high-performance digital signal processing applications

CH Chang, AS Molahosseini… - IEEE circuits and …, 2015 - ieeexplore.ieee.org
Residue Number System (RNS) is a non-weighted number system which was proposed by
Garner back in 1959 to achieve fast implementation of addition, subtraction and …

[HTML][HTML] AC-RRNS: Anti-collusion secured data sharing scheme for cloud storage

A Tchernykh, M Babenko, N Chervyakov… - International Journal of …, 2018 - Elsevier
Cloud security issues are important factors for data storage and processing. Apart from the
existing security and reliability problems of traditional distributed computing, there are new …

Perspective and Opportunities of Modulo Multipliers in Residue Number System: A Review

R Kumar, RK Jaiswal, RA Mishra - Journal of Circuits, Systems and …, 2020 - World Scientific
Modulo multiplier has been attracting considerable attention as one of the essential
components of residue number system (RNS)-based computational circuits. This paper …

Positional characteristics for efficient number comparison over the homomorphic encryption

M Babenko, A Tchernykh, N Chervyakov… - … and Computer Software, 2019 - Springer
Modern algorithms for symmetric and asymmetric encryptions are not suitable to provide
security of data that needs data processing. They cannot perform calculations over …

[HTML][HTML] Optimized reverse converters with multibit soft error correction support at 7nm technology

A Mansoor, M Fazeli, AM Rahmani… - Computers and Electrical …, 2023 - Elsevier
Residue number system (RNS) speeds up digital signal processing systems involving
dominant addition and multiplication. Addition and multiplication are accelerated further and …

An Efficient Reverse Converter for the Three-Moduli Set ( )

A Hiasat - IEEE Transactions on Circuits and Systems II …, 2016 - ieeexplore.ieee.org
The well-known three-moduli set (2 n+ 1, 2 n, 2 n-1), where n is a positive integer, has
received considerable attention over the last three decades. Many researchers have …

A reverse converter and sign detectors for an extended RNS five-moduli set

A Hiasat - IEEE Transactions on Circuits and Systems I: Regular …, 2016 - ieeexplore.ieee.org
This paper deals with the extended five moduli set (2 2n+ p, 2 n-1, 2 n+ 1, 2 n-2 n+ 1/2+ 1, 2
n+ 2 n+ 1/2+ 1) where n is a positive odd integer and p is nonnegative integer such that p≤ …

A multifunctional unit for designing efficient RNS-based datapaths

AS Molahosseini, AAE Zarandi, P Martins… - IEEE Access, 2017 - ieeexplore.ieee.org
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 …

A Residue-to-Binary Converter for the Extended Four-Moduli Set

A Hiasat - IEEE Transactions on Very Large Scale Integration …, 2017 - ieeexplore.ieee.org
This brief presents a residue-to-binary converter for the moduli set {2 n-1, 2 n+ 1, 2 2n+ 1, 2
2n+ p}, where n is a positive integer and 0≤ p≤ n-2. The converter consists of three …

New Algorithm for Signed Integer Comparison in and Its Efficient Hardware Implementation

S Kumar, CH Chang, TF Tay - IEEE Transactions on Circuits …, 2016 - ieeexplore.ieee.org
Sign detection and magnitude comparison are two difficult operations in Residue Number
System (RNS). Existing algorithms mainly tackle either problem independently. Magnitude …