Novel Idea of Implementing MRNS Technique for RLNS Based System

Residue Number System (RNS) is an effective solution for implementing several DSP applications. RNS reduces the input operands with larger length to modulo values with shorter length and provides high processing speed. An important application of RNS is in cryptography for providing highly secured transmission of data. The intermediate residue values obtained cannot be processed without knowing the exact moduli set values. The advantage of RNS is that the operation block is divided into distinct residual modules that are independent of the others. Multi-level Residue Number System (MRNS) is proposed in literature to enhance security features and processing speed of RNS. MRNS involves in continuing the procedure of RNS in several levels until the stage of choosing small moduli set values is obtained. To improve the data encryption feature of the RLNS based multiplication structure, MRNS concept is incorporated in this research work, proposing a new idea of Multi-level Residue Logarithmic Number System (MRLNS). The simulation results of the proposed designs that include area, TPD and delay are taken and found to be less when compared with the existing research work of multiplier design for Residue Logarithmic Number System (RLNS) based system.