in this paper, a new method is introduced for improving the efficiency of the residue number system, which uses both binary and residue representations in order to represent a number. a residue number system uses the remainder of the division in several different modules. conversion of a number to smaller ones and carrying out parallel calculations on these numbers greatly increase the speed of...

residue number system (rns) is a non-weighted number system for integer number arithmetic, which is based on the residues of a number to a certain set of numbers called module set. the main characteristics and advantage of residue number system is reducing carry propagation in calculations. the elimination of carry propagation leads to the possibility of maximizing parallel processing and reduc...

residue number system (rns) is a carry-free and non-weighed integer system. in this paper an improved three-moduli set  in reverse converter based on crt algorithm is proposed. crt algorithm can perform a better delay and hardware implementation in modules via other algorithms. this moduli is based on p that covers a wide range on modules and supports the whole range of its modules in dynamic r...

this paper presents a new audio encryption algorithm based on permutation and residue number system. in the current approach, signal samples are combined with residue number system through permutation; therefore, a specific noise is generated. then, the audio signal is combined with the noise, generated by the algorithm, to produce a silence signal. for this purpose, the algorithm uses a predef...

The quick growth of easy communication technologies concluded the last several decades has led in establishment strict standards for functioning productive systems. system execution is improved by reducing computation time with “Residue Number System (RNS)”. It extensively castoff “signal processing” “numeral analysis”, and “cryptoanalysis”, an exact graph-based technique designing perfect conv...

The super-Poincaré covariant formalism for the superstring is used to compute mass-less four-point two-loop amplitudes in ten-dimensional superspace. The computations are much simpler than in the RNS formalism and include both external bosons and fermions.

In this paper, a new method is introduced for improving the efficiency of the Residue Number System, which uses both binary and residue representations in order to represent a number. A residue number system uses the remainder of the division in several different modules. Conversion of a number to smaller ones and carrying out parallel calculations on these numbers greatly increase the speed of...

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...