hangman's rope vs hangman's halter

hangman's rope and hangman's halter both are nouns.

Word	Noun	Adjective	Verb	Adverb
hangman's rope	Yes	No	No	No
hangman's halter	Yes	No	No	No

As nouns, hangman's rope and hangman's halter are synonyms defined as:

hangman's rope and hangman's halter: a rope that is used by a hangman to execute persons who have been condemned to death by hanging

Other synonyms of hangman's rope include halter, hemp, hempen necktie.

hangman's rope (noun)	hangman's halter (noun)
a rope that is used by a hangman to execute persons who have been condemned to death by hanging	a rope that is used by a hangman to execute persons who have been condemned to death by hanging