dishonesty vs falsehood

dishonesty and falsehood both are nouns.

Word	Noun	Adjective	Verb	Adverb
dishonesty	Yes	No	No	No
falsehood	Yes	No	No	No

As nouns, falsehood is a hyponym of dishonesty; that is, falsehood is a word with a more specific, narrower meaning than dishonesty:

dishonesty: lack of honesty; acts of lying or cheating or stealing
falsehood: the act of rendering something false as by fraudulent changes (of documents or measures etc.) or counterfeiting

Other hyponyms of dishonesty include betrayal, perfidy, treachery, treason, charlatanism, quackery, trick, falsification.

dishonesty (noun)	falsehood (noun)
lack of honesty; acts of lying or cheating or stealing	the act of rendering something false as by fraudulent changes (of documents or measures etc.) or counterfeiting
the quality of being dishonest	a false statement