High-Performance Computation in Residue Number System Using Floating-Point Arithmetic
Residue number system (RNS) is known for its parallel arithmetic and has been used in recent decades in various important applications, from digital signal processing and deep neural networks to cryptography and high-precision computation.
Konstantin Isupov
doaj +3 more sources
A novel color images security-based on SPN over the residue classes of quaternion integers $$\:\varvec{H}{\left(\mathbb{Z}\right)}_{\varvec{\pi\:}}$$ [PDF]
The exponential growth of multimedia data transmission has intensified the demand for advanced image encryption systems capable of resisting contemporary cryptanalytic attacks while maintaining computational efficiency.
Muhammad Sajjad, Nawaf A. Alqwaifly
doaj +2 more sources
Support vector machines implementation over integers modulo-M and Residue Number System
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
doaj +1 more source
Scaling function based on Chinese remainder theorem applied to a recursive filter design [PDF]
Implementation of IIR filters in residue number system (RNS) architecture is more complex in comparison to FIR filters, due to introduction of the scaling function.
Stamenković Negovan +2 more
doaj +1 more source
Constant-coefficient FIR filters based on residue number system arithmetic [PDF]
In this paper, the design of a Finite Impulse Response (FIR) filter based on the residue number system (RNS) is presented. We chose to implement it in the (RNS), because the RNS offers high speed and low power dissipation.
Stamenković Negovan +1 more
doaj +1 more source
An Evaluation of Power Side-Channel Resistance for RNS Secure Logic
In this paper, residue number system (RNS) based logic is proposed as a protection against power side-channel attacks. Every input to RNS logic is encrypted as a share of the original input in the residue domain through modulus values.
Ravikumar Selvam, Akhilesh Tyagi
doaj +1 more source
Parallel machine arithmetic for recurrent number systems in non-quadratic fields [PDF]
The paper proposes a new method of synthesis of computer arithmetic systems for "error-free" parallel calculations. The difference between the proposed approach and calculations in traditional systems of Residue Number Systems for the direct sum of ...
Vladimir Chernov
doaj +1 more source
Signature and Residue Testing of Microprogrammable Control Units
Arithmetic and algebraic codes are used in testing to verify arithmetic and logical operations performed by digital circuits. An important unit of the hardware that implements arithmetic codes is a residue generator.
Vadim Geurkov
doaj +1 more source
A Multifunctional Unit for Designing Efficient RNS-Based Datapaths
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
doaj +1 more source
Residue Number System Arithmetic Assisted Coded Frequency-Hopped OFDMA
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

