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 …

Residue number system (RNS) speeds up digital signal processing systems involving
dominant addition and multiplication. Addition and multiplication are accelerated further and …

The paper suggests an algorithm for finding Residue Number Systems (RNS) with six
modules (6-tuples) with the Sum of Quotients SQ= 2 k for some positive integer k. It is shown …

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 …

A method is proposed that reduces the computation of the reduced digital convolution
operation to a set of independent convolutions computed in Galois fields. The reduced …

Given the efficiency of the residue number system in high-speed and low-power
applications, a wide variety of moduli sets have been introduced in the literature. Selecting …

Nowadays the requirements for modern information security systems stability and speed are
constantly growing. Therefore, the development of methods for parallel processing of multi …

The need for portable communication devices with high performance and low power has
grown significantly in recent years. The proliferation of portable communication devices has …

Comparison, division, and sign detection are considered to be complicated op erations in a
residue number system (RNS). A straightforward solution is to convert RNS numbers into …

Magnitude comparison, sign detection and overflow detection are essential operations of
residue number system (RNS) that are used in digital signal processing (DSP) applications …