Results 1 to 10 of about 3,495,734 (230)

Error-Correction Coding Using Polynomial Residue Number System

open access: yesApplied 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
doaj   +4 more sources

An Efficient CRT-Base Power-of-Two Scaling in Minimally Redundant Residue Number System [PDF]

open access: yesEntropy, 2022
In this paper, we consider one of the key problems in modular arithmetic. It is known that scaling in the residue number system (RNS) is a rather complicated non-modular procedure, which requires expensive and complex operations at each iteration. Hence,
Mikhail Selianinau, Yuriy Povstenko
doaj   +2 more sources

Generating Residue Number System Bases [PDF]

open access: yes2021 IEEE 28th Symposium on Computer Arithmetic (ARITH), 2021
Residue number systems provide efficient techniques for speeding up calculations and/or protecting against side channel attacks when used in the context of cryptographic engineering. One of the interests of such systems is their scalability, as the existence of large bases for some specialized systems is often an open question.
Bajard, Jean-Claude   +5 more
openaire   +2 more sources

Investigating the rank of the number in a residue number system

open access: yesСовременная наука и инновации, 2023
The rank of a number in a residue number system indicates the count of transitions through a range when a number is converted to a positional number system and allows for more efficient non-modular operations and detection of values out of range.
V. A. Kuchukov   +2 more
doaj   +1 more source

High-Speed Binary-to-Residue Converter Design Using 2-Bit Segmentation of the Input Word

open access: yesScientific Journal of Gdynia Maritime University, 2022
In this paper a new approach to the design of the high-speed binary-to-residue converter is proposed that allows the attaining of high pipelining rates by eliminating memories used in modulo m generators. The converter algorithm uses segmentation of the
Robert Smyk, Maciej Czyżak
doaj   +1 more source

A Division Algorithm in a Redundant Residue Number System Using Fractions

open access: yesApplied Sciences, 2020
The residue number system (RNS) is widely used for data processing. However, division in the RNS is a rather complicated arithmetic operation, since it requires expensive and complex operators at each iteration, which requires a lot of hardware and time.
Nikolay Chervyakov   +9 more
doaj   +1 more source

METHOD FOR DIAGNOSING DATA ERRORS OF A COMPUTER SYSTEM FUNCTIONING IN THE SYSTEM OF RESIDUAL CLASSES

open access: yesСучасні інформаційні системи, 2021
The subject of the article is the development of a method for diagnosing data errors of a computer system functioning in the residue number system (RNS). This method is based on the tabular principle of data diagnostics operation implementation.
Serhii Koshman   +2 more
doaj   +1 more source

An Efficient Method for Comparing Numbers and Determining the Sign of a Number in RNS for Even Ranges

open access: yesComputation, 2022
Fully Homomorphic Encryption (FHE) permits processing information in the form of ciphertexts without decryption. It can ensure the security of information in common technologies used today, such as cloud computing, the Internet of Things, and machine ...
Andrei Tchernykh   +7 more
doaj   +1 more source

Attacks and Defenses for Single-Stage Residue Number System PRNGs

open access: yesIoT, 2021
This paper explores the security of a single-stage residue number system (RNS) pseudorandom number generator (PRNG), which has previously been shown to provide extremely high-quality outputs when evaluated through available RNG statistical test suites or
Amy Vennos   +2 more
doaj   +1 more source

Residue Number System Arithmetic Assisted Coded Frequency-Hopped OFDMA

open access: yesEURASIP Journal on Wireless Communications and Networking, 2009
We propose an RNS arithmetic-based FH pattern design approach that is well suited and easy to implement for practical OFDMA systems. The proposed FH scheme guarantees orthogonality among intracell users while randomizing the intercell interferences and ...
Zhu Dalin, Natarajan Balasubramaniam
doaj   +2 more sources

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