What do you mean with "the future"?
dystopia /dɪs'toʊpiə/ noun A vision of a future that is a corrupted (usually beyond recognition) utopian society. A miserable, dysfunctional state or society that has a very poor standard of living. (medicine) Anatomical tissue that is not found in its usual place.
Neither dys- nor -topia relates to time. One can apply dystopia in the long time ago in a distant galaxy setup, in some future, in some alternative dimension, or in present time.
Thanks. I'll be here all week.
Both are classically used to name fiction places, starting with Thomas More eponymous book.
That said, neither eu- nor dys- are related to chronology or imaginative consideration on themselves, only about how desirable or awful the prefixed root is assessed to be in the judged situation.