The Barradas system was a planetary system. A planet of this system, Barradas III, was classified as M-class. Approximately two thousand years ago, an outpost of the Debrune was located on this planet. The system was located in the Taugan sector. (TNG: "Gambit, Part I", "Gambit, Part II")

According to the script of the episode, the pronunciation for Barradis was "buh-RAD-us". [1]
According to Star Trek: Star Charts (p. 45) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), the system's primary was a K-class star. In the distant past, about 2,000 years ago, this system was a destionation on the Debrune trade route. This system was located in the Beta Quadrant.