Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great
deal of computing now takes place in embedded processors, such as those found in mobile …

A new scheme for precisely scaling numbers in the residue number system (RNS) is
presented. The scale factor K can be any number coprime to the RNS moduli. Lookup table …

Scaling in RNS has always been conceived as a performance bottleneck similar to the
residue-to-binary conversion problem due to the inefficient intermodulo operation. In this …

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 …

This article proposes a novel architecture to perform modular multiplication in the Residue
Number System (RNS) by using sum of residues. The highly parallel architecture is …

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 …

Scaling is a key important arithmetic operation and is difficult to perform in Residue Number
Systems (RNS). This paper proposes a comprehensive approach for designing efficient and …

The scaling problem in Residue Number System was addressed in many publications. A
significant focus was given to scale the three moduli set by, where is a positive integer. This …

Previous scaling schemes are based on the conversion of the unpositional residue number
system (RNS) digits into a positional number system via Chinese remainder theorem (CRT) …

A secure image coding scheme using the residue number system (RNS) is presented and
tested. The proposed scheme can be also used as the base for a full security multiple …