Modular arithmetic, used in solving tasks related to increasing the productivity, reliability and
safety of stand-alone devices. The limited computing resources of devices imposes …

The residue numeral system (RNS) is one of the alternative number representation systems
which has a strong potential for using it in computing systems. One of the known problems of …

This paper proposes a novel residue-to-binary converter for residue number system (RNS)
based on the moduli set {2^n+k,\2^2_n+1-1,2^n+1,2^n-1\}. By adopting the new Chinese …

Residue Number System (RNS) provides advantages for accelerating arithmetic
computations using multiplications and additions only due to absence of long carry …

Montgomery modular multiplication (MMM) in residue number systems (RNS) uses a base
extension (BE) technique. This is to avoid division, which is hard, slow and costly in RNS. It …

This work presents a description of a high-performance hardware implementation of a
Montgomery modular multiplier using a residue number system (RNS). An RNS can be …

Modular multiplier is the key to implement RSA algorithm. This paper proposes the design of
an 8192-bit residue number system (RNS) Montgomery multiplier based on Cox-Rower …

Residue Number System (RNS) provides the ability to increase performance for some types
of algorithms through parallel data presentation. When implementing high-performance …

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 …

One of the main disadvantage of asymmetric cryptography is its low speed (in comparison
with symmetric algorithms). This is very important for critical systems and applications. From …