Improvement of the approximate method for the comparison operation in the RNS

Improvement of the approximate method for the comparison operation in the RNS

The operation of number comparison is widely used in the implementation of most modern algorithms. The implementation of the algorithm for number comparison in the Residue Number System (RNS) consists of two stages. The first stage is calculating the positional characteristic of the modular number....

Disgrifiad llawn

Wedi'i Gadw mewn:

Manylion Llyfryddiaeth
Prif Awduron:	Shiriaev, E. M., Ширяев, Е. М., Golimblevskaia, E. I., Голимблевская, Е. И., Babenko, M. G., Бабенко, М. Г.
Fformat:	Статья
Iaith:	English
Cyhoeddwyd:	Institute of Electrical and Electronics Engineers Inc. 2021
Pynciau:	Modular arithmetic Residue number system (RNS) Approximate method Chinese Remainder Theorem Core function Diagonal function Generalized Weighted Number System Python Approximation theory
Mynediad Ar-lein:	https://dspace.ncfu.ru/handle/20.500.12258/16039
Tagiau:	Ychwanegu Tag Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!

Eitemau Tebyg

The fast algorithm for number comparing in three-modular RNS
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

On RNS with VLSI-friendly diagonal function
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

An efficient method for comparing numbers and determining the sign of a number in RNS for even ranges
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2022)

Construction of residue number system using hardware efficient diagonal function
gan: Valueva, M. V., et al.
Cyhoeddwyd: (2019)

Algorithm for Determining the Optimal Weights for the Akushsky Core Function with an Approximate Rank
gan: Shiriaev, E. M., et al.
Cyhoeddwyd: (2023)

Comparison of modular numbers based on the chinese remainder theorem with fractional values
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

About one property of number rank in RNS
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2021)

Fast Operation of Determining the Sign of a Number in RNS Using the Akushsky Core Function
gan: Shiriaev, E. M., et al.
Cyhoeddwyd: (2023)

Hardware implementation of the reverse conversion RNS-WNS on FPGA
gan: Nazarov, A. S., et al.
Cyhoeddwyd: (2021)

Rns number comparator based on a modified diagonal function
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2020)

The study of monotonic core functions and their use to build rns number comparators
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2021)

Effective implementation of Wang method using approximate method in RNS
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

Development of an antinoise method of data sharing based on the application of a two-step-up system of residual classes
gan: Kocherov, Y. N., et al.
Cyhoeddwyd: (2019)

Modification of the Projection Method to Correct Errors in RNS
gan: Shiriaev, E. M., et al.
Cyhoeddwyd: (2023)

A high-speed residue-to-binary converter based on approximate Chinese Remainder Theorem
gan: Kucherov, N. N., et al.
Cyhoeddwyd: (2018)

Positional characteristics for efficient number comparison over the homomorphic encryption
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2020)

Experimental evaluation of homomorphic comparison methods
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2021)

CRTf-based reverse converter for RNS with low-cost modules { 2n, 2n- 1, 2n + 1- 1 }
gan: Bergerman, M. V., et al.
Cyhoeddwyd: (2022)

A new method of sign detection in RNS based on modified chinese remainder theorem
gan: Lyakhov, P. A., et al.
Cyhoeddwyd: (2021)

Design reverse converter for balanced RNS with three low-cost modules
gan: Lyakhov, P. A., et al.
Cyhoeddwyd: (2021)

Optimization of neural network computation with use of residual number system for tasks of design of neural network systems of automatic control
gan: Tikhonov, E. E., et al.
Cyhoeddwyd: (2019)

Determining the rank of a number in the residue number system
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2021)

The Problem of Restoring the Unit of Approximation in the Model for Studying Functional Dependence from Approximate Data
gan: Yartseva, E. P., et al.
Cyhoeddwyd: (2023)

Improved modular division implementation with the akushsky core function
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2022)

Multiple error correction in redundant residue number systems: a modified modular projection method with maximum likelihood decoding
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2022)

Nonlinear approximation of functions based on nonnegative least squares solver
gan: Vabishchevich, P. N., et al.
Cyhoeddwyd: (2023)

The accuracy estimation of the interval-positional characteristic in residue number system
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2020)

Performance Analysis of Hardware Implementations of Reverse Conversion from the Residue Number System
gan: Kuchukov, V. A., et al.
Cyhoeddwyd: (2023)

Efficient RNS reverse converters for moduli sets with dynamic ranges up to (10 n+ 1) -bit
gan: Lyakhov, P. A., et al.
Cyhoeddwyd: (2018)

Study of a Redundant Residue Number System for Single Error Correction
gan: Kuchukov, V. A., et al.
Cyhoeddwyd: (2024)

Efficient application of the residue number system in elliptic cryptography
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2022)

Implementation of digital filters in the residue number system
gan: Veligosha, A. V., et al.
Cyhoeddwyd: (2018)

A novel sign detection method in residue number system based on Chinese remainder theorem with fractional values
gan: Lyakhov, P. A., et al.
Cyhoeddwyd: (2023)

Efficient hardware implementation of forward conversion WNS-RNS on FPGA
gan: Nazarov, A. S., et al.
Cyhoeddwyd: (2021)

The data transfer development in MANET networks on the base of Chinese remainder theorem
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

The Development of probabilistic algorithm of monitoring a result correctness for cloud computing in residue number system
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

Approximation models for the hydrolitospheric processes
gan: Pershin, M. I., et al.
Cyhoeddwyd: (2019)

Fast modular multiplication execution in residue number system
gan: Chervyakov, N. I., et al.
Cyhoeddwyd: (2018)

Towards the Sign Function Best Approximation for Secure Outsourced Computations and Control
gan: Babenko, M. G., et al.
Cyhoeddwyd: (2022)

Improving the Parallelism and Balance of RNS with Low-Cost and 2 k+ 1 Modules
gan: Lyakhov, P. A., et al.
Cyhoeddwyd: (2023)