no-hitter vs no-hit game

no-hitter and no-hit game both are nouns.

Word	Noun	Adjective	Verb	Adverb
no-hitter	Yes	No	No	No
no-hit game	Yes	No	No	No

As nouns, no-hitter and no-hit game are synonyms defined as:

no-hitter and no-hit game: a game in which a pitcher allows the opposing team no hits

no-hitter (noun)	no-hit game (noun)
a game in which a pitcher allows the opposing team no hits	a game in which a pitcher allows the opposing team no hits