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 …

Residue-to-binary conversion for general moduli sets based on approximate Chinese remainder theorem

NI Chervyakov, AS Molahosseini… - … journal of computer …, 2017 - Taylor & Francis
The residue number system (RNS) is an unconventional number system which can lead to
parallel and fault-tolerant arithmetic operations. However, the complexity of residue-to …

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 …

RNS number comparator based on a modified diagonal function

M Babenko, M Deryabin, SJ Piestrak, P Patronik… - Electronics, 2020 - mdpi.com
Number comparison has long been recognized as one of the most fundamental non-
modular arithmetic operations to be executed in a non-positional Residue Number System …

An efficient method of error correction in fault-tolerant modular neurocomputers

NI Chervyakov, PA Lyakhov, MG Babenko… - Neurocomputing, 2016 - Elsevier
In this paper, we propose the architecture of a fault-tolerant unit in a modular neurocomputer
that is based on decoding with computation of errors syndromes on redundant moduli and …

Construction of residue number system using hardware efficient diagonal function

M Valueva, G Valuev, N Semyonova, P Lyakhov… - Electronics, 2019 - mdpi.com
The residue number system (RNS) is a non-positional number system that allows one to
perform addition and multiplication operations fast and in parallel. However, because the …

Auction and classification of smart contracts

DE Gibaja-Romero, RM Cantón-Croda - Mathematics, 2022 - mdpi.com
The execution of smart contracts (SCs) relies on consensus algorithms that validate the
miner who executes the contract and gets a fee to cover her expenditure. In this sense …

Error control coding algorithms in high reliability telemetry systems

KT Tyncherov, VS Mukhametshin, VA Krasnobaev… - Symmetry, 2022 - mdpi.com
In the oil and gas industry, in the process of drilling support (geosteering) and well telemetry,
there is a problem of transmitting reliable information via wireless communication channels …

A Parallel Prefix Modulo-(2q + 2q−1 + 1) Adder via Diminished-1 Representation of Residues

G Jaberipur, D Badri, JA Lee - IEEE Transactions on Circuits …, 2023 - ieeexplore.ieee.org
Diminished-1 representation of modulo-residues provides for delay-balanced adders for the
popular moduli set. Besides, conjugacy of moduli leads to efficient multiple-residue to binary …

Parallel-pipeline implementation of digital signal processing techniques based on modular codes

IA Kalmykov, AV Veligosha, DI Kaplun… - 2016 XIX IEEE …, 2016 - ieeexplore.ieee.org
Parallel-pipeline implementation of digital signal processing techniques based on modular
codes Page 1 213 978-1-4673-8919-8/16/$31.00 ©2016 IEEE Parallel-pipeline …