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We propose a Montgomery multiplier composed of gate-level self synchronous processing elements (SS-PE) that can be used to create scalable-length modular multipliers with no broadcast signals for high throughput. A 40nm test circuit shows the SS-PE operates from 0.4V to 1.3V at 20°C without tuning, with 2.1 Gb/s data-throughput, 476ps delay at 1.1V, and energy per operation of 322fJ/op at 1.1V and 1.40fJ/op with voltage scaling to 0.4V. A 8-bit RSA is implemented using SS-PEs, and shows 186Mb/s and 130ns data-throughput and time respectively for the average case of decryption. Side-channel attacks using simple power analysis, differential power analysis, and high order differential power analysis show secure operation with no information leakage after 50,000 measurements.