Do I have to report termination if I was rule to be terminated without just cause?

I was terminated from my at-will position as a teacher with a Delaware school (technically a state of Delaware employee). The Department of Labor ruled that I was "discharged without just cause" and I was eligible to collect unemployment benefits. I'm looking for a career change, but would like to stay as a state employee to continue benefits, pension, etc. State employment applications for any position ask a Yes/No question if I was ever terminated from State employment without the ability to explain my answer. Do I have to report yes, if my discharge was ruled as "without just cause?" People have told me differing answers and the state offices I've called couldn't answer the question, just give their own personal suggestions.