Earlier quoted context omitted.
How is the key image impossible to describe? There are only 4 possible colors per cell. You just describe it like 0,1,2,3,2,0, etc Just as if you were reading off the real key.
From just asking around, most people described the key image to me in terms of the darkest portions and ignored the parts that were lighter. It's easier for the example image to say that there's a dark L and lighter X shape in the center and then assume that the rest is the same. At least, that's how people did when I presented it to them as a challenge.
Uh, 4^(8*8)=2^128 is a pretty large number.