Design of efficient modulo 2n + 1 multipliers

A new modulo 2ⁿ+1 multiplier architecture is proposed for operands in the weighted representation. A new set of partial products is derived and it is shown that all required correction factors can be merged into a single constant one. It is also proposed that part of the correction factor is treated as a partial product, whereas the rest is handled by the final parallel adder. The proposed multipliers utilise a total of (n+1) partial products, each n bits wide and are built using an inverted end-around-carry, carry-save adder tree and a final adder. Area and delay qualitative and quantitative comparisons indicate that the proposed multipliers compare favourably with the earlier solutions