falsehood vs dishonesty

falsehood and dishonesty both are nouns.

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

As nouns, dishonesty is a hypernym of falsehood; that is, dishonesty is a word with a broader meaning than falsehood:

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

Other hypernyms of falsehood include knavery.

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