The radius and surface composition of an exploding massive star, as well as the explosion energy per unit mass, can be measured using early ultraviolet (UV) observations of core-collapse supernovae (CC SNe). We present the results from a simultaneous \GALEX and Palomar Transient Factory (PTF) search for early UV emission from SNe. We analyze five CC SNe for which we obtained measurements before the first ground-based -band detection. We introduce SOPRANOS, a new maximum likelihood fitting tool for models with variable temporal validity windows, and use it to fit the \citet{SapirWaxman2017} shock cooling model to the data. We report four Type II SNe with progenitor radii in the range of and a shock velocity parameter in the range of () and one type IIb SN with and (). Our pilot GALEX/PTF project thus suggests that a dedicated, systematic SN survey in the band, such as the wide-field UV explorer mission, is a compelling method to study the properties of SN progenitors and SN energetics.

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