The bottom line of the paper is that:
... a computer turned loose to simply guess correlations between the encrypted and unencrypted versions of a file would make headway much faster than previously expected.
"It's still exponentially hard, but it's exponentially easier than we thought," Duffy says.
So, once again we see that what we were sure was secure is considerably less secure than we believed. That's really rather depressing. Moreover, given the explosion of processing power over the last few years including GPUs and custom silicon such as the Epiphany chip from Adapteva keeping stuff secret is going to be much less certain.