Actually, in the example given you aren't violating relativity at all. Relativity tells us no information can be transmitted faster than the speed of light in a vacuum. However, what you mention in the OP is the same as getting billions of people in a straight line and telling them to turn on a light at a precise time (the first person at 0 second, the next at 0.00000000001 second, etc)...
The effect is that to an outsider the wave of light is traveling faster than c, but no information was transmitted as the entire thing was planned out. Ergo, relavity is still in tact.
And that's your daily physics lession.