correction has 5 distinct synonyms spread across 4 of its 7 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the act of offering an improvement to replace a mistake; setting right
a quantity that is added or subtracted in order to increase the accuracy of a scientific measure
a drop in stock market activity or stock prices following a period of increases
“market runups are invariably followed by a correction”
the act of disciplining
“the offenders deserved the harsh discipline they received”
Synonyms, antonyms and the broader and narrower relations for correction come from Princeton University’s WordNet. Full sources and licences.