(2ⁿ-1) is one of the most commonly used moduli in Residue Number Systems. In this express, we propose a novel Booth encoding architecture. Based on the proposed Booth encoding architecture, we can design high speed and high-efficient modulo (2ⁿ-1) multipliers, which are the fastest among all known modulo (2ⁿ-1) multipliers. The performance and the efficiency of the proposed multipliers are evaluated and compared with the earlier fastest modulo (2ⁿ-1) multipliers, based on a simple gate-count and gate-delay model. These results reveal that the proposed multipliers lead to average approximately 14% faster than the fastest known modulo (2ⁿ-1) multipliers.