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Fast radio bursts (FRBs) are extragalactic radio flashes of unknown physical origin (Petroff et al. 2019;Cordes & Chatterjee 2019). Their high luminosities and short durations require extreme energy densities, like those found in the vicinity of neutron stars and black holes. Studying the burst intensities and polarimetric properties on a wide range of timescales, from milliseconds down to nanoseconds, is key to understanding the emission mechanism. However, high-time-resolution studies of FRBs are limited by their unpredictable activity levels, available instrumentation and temporal broadening in the intervening ionised medium. Here we show that the repeating FRB 20200120E (Bhardwaj et al. 2021) can produce isolated shots of emission as short as about 60 nanoseconds in duration, with brightness temperatures as high as 3 × 10 41 K (excluding relativistic effects),