Hi. rezchamp here. I've been raising birds for just over 20 years. My Grand folks (& their parents before them) raised birds for 30 years before I was born.
Coupled with what I remember from my childhood and what I've experienced the following formula works well with me,... For a temporary outdoor run,... lay a roll of stucco wire on the ground and cut it in half, turn till both open ends meet, join with twisted wire, roll out one "end" and roll in the other. This will make 110' roll. Take to site, roll out 23&1/2', cut, turn &90*, roll out23&1/2', repeat till 23&1/2 by 23&1/2 square. Put posts thru the inside perimeter of the "dig barrier". 2 more rolls of stucco wire standing tacked/stapled/nailed to outside of posts( not too deep{nails or posts}). Barbed wire strands at 0" 6" 12" 18" 24" on outside of stucco to deter ground attack. 6' 1" mesh chicken wire on inside of posts. A cpl of posts inside with a rail across will support an old fishing net with bright cloth ribbons & old DVDs/CDs tied to it will deter avian attack. My little coop goes inside.
I move it to new spot for next summer. The horses and the lawn mower ensures the grass doesn't get to tangled in the dig barrier. Lots of work but it works for me. That being said I don't know if you live in town or country. Hope I've helped.
HAGD
and Welcome To BYC! Check out the Coop/Run design forum for ideas on making your coop/run predator proof. X2 you will want to use hardware cloth. And for the bottom either burying wire down or out a couple of feet or using big pavers/concrete is what most people do where they have digging predators. 
