I am highly skeptical about faster-than-light transmission, but it is possible, at least, in principle, to transmit information with antineutrinos by controlling power of nuclear reactors (see, e.g., http://arxiv.org/abs/0704.0891 or http://www.phys.hawaii.edu/~jgl/post/gigaton_array.pdf ).
EDIT(07/05/2013): I have found out that an experiment on information transmission with neutrinos was actually conducted recently, using the Fermilab NuMI neutrino beam and the Minerva detector. Distance - about 1 km, including over 200m of rock, data rate - 0.1Hz, error rate - 1% (published in Modern Physics Letters A, http://www.worldscientific.com/doi/pdf/10.1142/S0217732312500770 or http://arxiv.org/abs/1203.2847 ).