A play I hope someone can explain to me

COLLEGE FOOTBALL

Watching the OSU vs. USC game, the OSU punter just punted the ball. It wasn’t blocked. It went off the side of his foot and was picked up by an OSU player at the 6-yard line. He ran it out to the 15.

How can he do that? It was a punt by his punter. As soon as he touched it, it should have been dead, right? It wasn’t touched by the receiving team, so how can the kicking team advance it? If you punt it down the field, and your team touches it, it’s dead where it’s touched, right?

I don’t understand.

Can anyone enlighten me?