Other than the 22 Remington shooter, the only other method is drilling ito the concrete and installing Red Head Concrete anchors with expanding bolt casings.
One note, if you plan to drill these holes with a 3/8 drill, you will ruin it. YOu need a 1/2 inch preferably with hammer drill capabilities. The 22 gun is very inexpensive and the best overall and by far quickest method to use. The gun is $30 and the ammo and nails are moderately inexpensive. Consider this