Fence on a Concrete Grade Beam?

Hi there, new here, so bear with me, hopefully I didn't miss something in my search. What I'm wanting to do is erect a wooden fence on a small concrete wall. I'd only like it to stick up above the ground about 6 inches, and be at least 10-12 inches into the ground (stop a puppy that has a tendency to dig). It would be about 8 inches wide. What I don't know, is the specifics. I live in Saskatchewan, and am unsure about depth, or a footing underneath of it due to frost? Would that affect something like this? Or if I reinforce along the length with rebar would I be okay if built to that 10-12" depth on top of crushed stone? It would obviously have "piers" down 24-36" every 8' at the fence post locations. Thoughts, concerns, ideas?