Federal Judiciary vs judicature

Federal Judiciary and judicature both are nouns.

Word	Noun	Adjective	Verb	Adverb
Federal Judiciary	Yes	No	No	No
judicature	Yes	No	No	No

As nouns, judicature is a hypernym of Federal Judiciary; that is, judicature is a word with a broader meaning than Federal Judiciary:

Federal Judiciary: the judiciary of the United States which is responsible for interpreting and enforcing federal laws
judicature: the system of law courts that administer justice and constitute the judicial branch of government

Other hypernyms of Federal Judiciary include judicatory, judicial system, judiciary, law enforcement agency.

Federal Judiciary (noun)	judicature (noun)
the judiciary of the United States which is responsible for interpreting and enforcing federal laws	the act of meting out justice according to the law
	the position of judge
	the system of law courts that administer justice and constitute the judicial branch of government
	an assembly (including one or more judges) to conduct judicial business