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We report a new nanoscale antifuse featuring low-power and high-programming speed, by employing silicon carbide (SiC) nanoelectromechanical systems (NEMS). We show that the SiC NEMS antifuses can enable ultralow-power one-time-programmable (OTP) field-programmable gate arrays (FPGAs) with characteristics promising for security-sensitive and harsh-environment applications. The SiC NEMS antifuses offer minimal leakage, low-programming voltage (down to ~1.5 V), ideally abrupt transient, high on/off ratios (>10⁷) and high-current carrying ability (>10⁶ A/cm²), and very small footprints (~1 μm² to ~0.1 μm² per device). We further describe new designs of antifuses, simulate FPGA benchmarking circuits based on experimentally demonstrated practical NEMS antifuses, and compare their advantageous performance with state-of-the-art conventional antifuse FPGAs. We also demonstrate a SiC NEMS antifuse-based OTP memory cell with a read margin of >10⁶.