This is the 17121st most frequent Russian word.
сталинская
"Stalin's" or "Stalinist" – relating to Joseph Stalin or his policies.
Here 'сталинскую' refers to the specific architectural style or design associated with the Stalin era in a descriptive or analytical manner.
Современные строители изучают сталинскую архитектуру.
Modern builders study Stalinist architecture.
In this sentence, 'сталинскую' qualifies the medal as being related to Stalin or the Stalin era in history.
Её дедушка хранил сталинскую медаль в сундуке.
Her grandfather kept a Stalinist medal in a chest.
Here 'сталинской' describes the era as being associated with Stalin, specifying the historical context of the exhibit.