I'm sure you solved the problem by now, but you may want to check out your foot wear anyway. Ill fitting shoes, plus running/walking on a hard surface, will cause concern. Most people think their shoes are OK, though this can be misleading. A custom pair of training shoe can cost big bucks but well worth in in the long run. I'm assuming this is a training related injury, usually caused by sudden stops, turns, etc on unnatural surfaces. Basketball players, and some tennis players, seem to have an edge on this type of play.
The general term shin splints can cover a lot of injuries (bone, tendon, ligament, muscle tissue, nerve damage, etc). So any simple solution may not cover it at all. If you have not by now, than a suggestion would be to see a sports doctor who can be more knowledgeable about training injuries. And the prevention of future ones. Good luck.