The 32nd Strike Squadron was a Federation Starfleet task force in existence during the Four Years War between the United Federation of Planets and the Klingon Empire.
Loknar-class frigates and Tikopai-class heavy cruisers were part of the 32nd Strike Squadron, 11th Strike Squadron and 28th Strike Squadron during the Nostveg Engagement. The battle was a decisive Federation victory, resulting in the defeat of five Klingon squadrons. (FASA RPG: The Four Years War)