you can do a seach there has been a few threads on this before here is a qoute from dan which i thought was great.
'dude, shin splints are caused when your arch begins to fall and the muscle is pulled away from the bone. to properly tape for this condition you have to cut two pieces of heavy form rubber about 1" wide and 6 - 8" in length. place the two pieces of form rubber on either side of your shin bone and then wrap with ace bandage or the white medical tape. the form rubber pushes the muscle back onto the bone to heal properly. secondly, you need to tape your aches. you do this by pulling the tape from the outside of the foot under the arch up and around your ankle. the idea here is to pull the arch up supported to your ankle. lastly, as the others have said
ice them down immediately after running to bring down the inflamation. oh yeah i used the dr. sholl inserts for my running shoes, the long leather ones. the ones that go from your heel to the ball of your foot.'
intersting it happend when you swithced to nike. mabey switch back. i love nike but get shin splints when i run on concete. ive just my first pair of asics havnt tried them out yet tho.