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The routing architecture, heavily using programmable switches, dominates the area, delay and power of Field Programmable Gate Arrays (FPGAs). Resistive Random Access Memories (RRAMs) enable high-performance routing architectures through the replacement of Static Random Access Memory (SRAM)-based programming switches. Exploiting the very low on-resistance state achievable by RRAMs, RRAM-based routing multiplexers can be used to significantly reduce the FPGA routing delays. In addition, RRAM-based routing architectures are less sensitive to supply voltage reductions and show promises in low-power FPGA designs. In this paper, we propose a near- Vt low-power RRAM-based FPGA where both delay and power reductions are achieved. Experimental results demonstrate that a near-Vt RRAM-based FPGA design leads to a 15% area shrink, a 10% delay reduction, and a 65% power improvement, compared to a conventional FPGA design for a given technology node. To achieve low on-resistance values, RRAMs typically require high programming currents. In other word, they need relatively large programming transistors, potentially resulting in area, delay and power inefficiencies. We also present a design methodology to properly size the programming transistors of RRAMs in order to further improve the area-efficiency. Experimental results show that a correct programming transistor sizing strategy contributes to further 18% area and 2% delay shrink, compared to the initial near-Vt RRAM-based FPGA.