The paper proposes a Montgomery Modular Multiplier (MMM) using a simple and efficient Montgomery multiplication algorithm. Here a modification in the form of using hybrid full adders in the Carry Save adder is proposed. The hybrid full adder is designed using a conventional Complementary Metal Oxide Semiconductor and transmission gate logic. There is about 54% and 55% reduction of area (no. of components) in Radix 2 MMM and Semi-Carry-Save (SCS) based MMM with hybrid full adders. There is significant reduction in the power dissipation of 52% for Radix 2 MMM and 46% of SCS based MMM when hybrid adders are used instead of C-CMOS Full-Adders. The delay is also reduced by 47% in SCS based MMM as compared to that of Radix 2 MMM. The software used are Xilinx ISE 14.2 and Mentor Graphics Pyxis Schematic in 180-nm technology.
An Optimized Hardware Architecture for the Montgomery Multiplication Algorithm
