Version 15.10.0.12 had the same problem, so I am back to version 15.10.3.2.
This time, I disabled "Wake on Magic Packet" and "Wake on Pattern Match" under the "Advanced" tab of the "Intel(R) Centrino(R) Advanced-N 6235 Properties" dialog, since I suspect that this might be causing the problem.
I would not be surprised if there were a bug in the driver with the pattern matching or magic packet detection that might trigger the wake-up logic--it would be a classic software bug.