I need side and rear clearance for a 15 year old wood stove. The 2x4 walls are covered with cement board and ceramic tiles. Behind that is a foundation wall.
In WA state, with a *certified* wood stove, the clearence is anywhere from 18 to 24 inches. You can put anything non-combustable on that wall... tile, rock, brick, Z brick, or metal plating with 1 air space from backer board. You could always check with the court house to find out what your local building codes are.
That information should be on the stove, on a little plate on the back, and it should also be available from the stove manufacturer. Every stove is a bit different. You can also check with your local building inspector or a woodstove installation guy to find out what the local regulations say. I hope you're not planning to install this stove without a permit. That will void your insurance if there's ever a fire.