The recent secure of digital images attracts much attention, and many image encryption methods have been proposed. This paper presents a new scheme for image encryption technique, based on a residue number system (RNS) sequence and non-traditional random number generators, which are grouped as a chaotic system. An image is deteriorated according to the proposed new algorithm. This system provid...

This thesis tackles the problem of data conversion in the Residue Number System (RNS). The RNS has been considered as an interesting theoretical topic for researchers in recent years. Its importance stems from the absence of carry propagation between its arithmetic units. This facilitates the realization of high-speed, low-power arithmetic. This advantage is of paramount importance in embedded ...

This study harnesses the useful number properties of residue system (RNS) to minimise energy consumption in a wireless sensor network. In traditional cluster-based network, large bit representations aggregated packets are transmitted base station. However, patterns slower compared smaller bits. The proposed approach splits data into pre-specified transmission channels using moduli set. Cheap co...

This paper presents an investigation into using a combination of two alternative digital number representations; the residue number system (RNS) and the signed-digit (SD) number representation in digital arithmetic circuits. The combined number system is called RNS/SD for short. Since the performance of RNS/SD arithmetic circuits depends on the choice of the moduli set (a set of pairwise prime ...

Residue Number System is a kind of numerical systems that uses the remainder of division in several different moduli. Conversion of a number to smaller ones and carrying out parallel calculations on these numbers will increase the speed of the arithmetic operations in this system. However, the main factor that affects performance of system is hardware complexity of reverse converter. Reverse co...

The 4-moduli{ } set has been recently proposed for large dynamic range of 6n-bits .for this 4moduli set reverse converter design based on New CRT-1 and MRC has already been proposed. In this paper we propose reverse converter design for 4-moduli set{ }based on New CRT-II theorem to achieve more efficient residue number system(RNS) than the former one. The design is achieved using carry save add...

A scaling technique of numbers in residue arithmetic with the flexible selection of the scaling factor is presented. The required scaling factor can be selected from the set of moduli products of the Residue Number System (RNS) base. By permutation of moduli of the number system base it is possible to create many auxiliary Mixed-Radix Systems (MRS). They serve as the intermediate systems in the...

As embedded and portable systems were emerged power consumption of circuits had been major challenge. On the other hand latency as determines frequency of circuits is also vital task. Therefore, trade off between both of them will be desirable. Modulo adders are important part of the residue number system (RNS) based arithmetic units with the interesting moduli set , , . In this manuscript we h...

The residue number system (RNS) is a method for representing an integer x as n-tuple of its residues with respect to given set moduli. In RNS, addition, subtraction, and multiplication can be carried out by independent operations each modulus. Therefore, n-fold speedup achieved parallel processing. main disadvantage RNS that we cannot efficiently compare the magnitude two integers or determine ...

Digital filter plays an important role in Very Large Scale Integration (VLSI) technology. The existing Finite Impulse Response (FIR) filter has long transient response which is the major limitation. To overcome this drawback, Residue Number System (RNS) based FIR filters is developed which is described in this paper. High-speed is obtained by introducing the residue arithmetic concept that perm...