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Tunka-Rex is a $3\,$km$^2$ large antenna array for cosmic-ray air showers atthe TAIGA observatory in Siberia close to Lake Baikal. In autumn 2016 Tunka-Rexhas been extended to a total of 63 stations, each equipped with SALLA antennasfor two polarization directions operating in the band of $30-80\,$MHz. Allantenna stations are triggered by the other cosmic-ray detectors at the site,i.e., Tunka-Rex runs in coincidence with the Tunka-Grande array ofscintillation detectors and during clear nights additionally in coincidencewith the Tunka-133 non-imaging air-Cherenkov array. Compared to previousmeasurements, the day-time and bad-weather trigger increases the annualexposure by an order of magnitude, and the higher density of antennas isexpected to increase the accuracy - in particular for the cosmic-ray masscomposition. In addition to the status and potential of Tunka-Rex an overviewof recently published results will be presented: by comparing the radio and theair-Cherenkov signals of the same air showers, the Tunka-Rex precision for themost important shower parameters has been determined. The direction precisionis about $1^\circ$, the precision for the depth of the shower maximum,$X_\mathrm{max}$, is better than $40\,$g/cm$^2$ for high-quality events, andthe energy precision is better than $15\,\%$. A rough estimation of the showerenergy and of $X_\mathrm{max}$ is even possible with only a single antennastation when using the shower geometry measured by Tunka-133. Moreover, byusing exactly the same external calibration source for the antennas as at theLOPES experiment we have shown that the absolute energy scale of differentair-shower arrays can be compared with each other at $10\,\%$ precision. Thus,Tunka-Rex will improve the total accuracy of TAIGA for the energy as well asfor the mass composition of cosmic rays of energy above $0.1\,$EeV.

Overview on the Tunka-Rex antenna array for cosmic-ray air showers (ICRC 2017)