Well if you ha ve little white things in your tank, that are not also on your fish, then there is more information that may be needed. A picture would also help as previously stated. I agree that they are most likely planaria from the information givin. A little more information would help. What size of tank and what kind of water parameters do you have? Readings for Ammonia, NitrITE, and NitrATE would help alot. Also some things that could help, would be doing a thorough gravel vac, clean the glass, and cut back on feedings until they go away. Alot of times planaria appear because of overfeeding, and an undermaintained tank.