We present a new RNS modular multiplication for very large operands. The algorithm is based on Montgomery's method adapted to mixed radix, and is performed using a Residue Number System. By choosing the moduli of the RNS system reasonably large, and implementing the system on a ring of fairly simple processors, the carry-free nature of RNS arithmetic achieves an eeect corresponding to a redunda...

Residue number systems have gained significant importance in the field of high-speed digital signal processing due to their carry-free nature and speed-up provided by parallelism. The cynical aspect in the application of RNS is the selection of the moduli set and the design of the conversion units. In the residue number system, a set of moduli which are independent of each other is given. An in...

The goal of the research is twofold First, the derivation of a design methodology for FIR filters implementation based on Residue Number System (RNS), aiming at power, delay and hardware complexity reduction comparing with conventional binary implementations. Second, a CAD tool development, which generates synthesizable VHDL description of any RNS system design, in automatic way. This tool can ...

We investigate Residue Number Systems (RNS) of special type which were recently shown to be useful for some computations in embedded systems. develop an algorithm derivation all quadruples RNS under investigation subject certain restrictions.

Residue number system (RNS) is a mathematical method to execute computing processes. In this method, the large operands which need more time to be calculated, convert to small ones to consume less time. In RNS, to decrease the delay time, some transistors used as a matrix to select output of operations in a transistor delay time. n this paper, by using of one-hot system in RNS, the used hardwar...

In this paper residue number system (RNS) arithmetic and redundant residue number system (RRNS) based codes as well as their properties are reviewed. We propose a number of applications for RRNS codes and demonstrate how RRNS codes can be employed in global communication systems, in order to simplify the associated systems by unifying the entire encoding and decoding procedure across global com...

The useful feature of residue number system (RNS) to peform addition, subtraction and multiplication without carry-chain between residue digits, has made RNS suitble for using in special-purpose digital computing systems. The total efficiency of an RNS system depends on the performance of reverse converter as well as arithmetic unit. Due to this, many researches have been done on designing reve...

This paper is focused on the crucial point of the use of Residue Number System (RNS) arithmetic in actual applications, i.e. the conversion from residue arithmetic to binary representation. Some of the most recent contributions in literature are considered and compared with the work developed by the authors on this conversion problem. It is shown that all the reviewed methods present particular...

This paper presents low-power implementation of residue number system (RNS) reverse converter based on an improved ripple carry adder (RCA) with end-around carry (EAC). The presented RCA with EAC uses modified full adders to achieve the ability of correcting double-representation of zero. The implementation results shows that the reverse converter with the modified RCAs with EAC achieves better...

We present a new RNS modular multiplication for very large operands. The algorithm is based on Montgomery’s method adapted to mixed radix, and is performed using a Residue Number System. By choosing the moduli of the RNS system reasonably large and implementing the system on a ring of fairly simple processors, an effect corresponding to a redundant high-radix implementation is achieved. The alg...