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As the specification of the new 5G NR standard proceeds inside 3GPP, the availability of a versatile, full-stack, End-To-End (E2E), and open source simulator becomes a necessity to extract insights from the recently approved 3GPP specifications. This paper presents an extension to ns-3, a well-known discrete-event network simulator, to support the NR Radio Access Network. The present work describes the design and implementation choices at the MAC and PHY layers, and it discusses a technical solution for managing different bandwidth parts. Finally, we present calibration results, according to 3GPP procedures, and we show how to get E2E performance indicators in a realistic deployment scenario, with special emphasis on the E2E latency.