They may be working on it, but it may be a few days to a few weeks before there is a patch for the game. Troubleshoot your Xbox on microsoft and make sure its not a problem with your disc drive. Certain games (such as the Chronicles of Riddike) will not be read by certain disc drives. The xbox 360 has 3 different models, with a different type of disc drive in each model. You may have a Hitachi drive, Samsung drive, or other, and the laser may not read this particular game correctly.
As a first step, I would exchange the game for a different copy, and try again when you return home.