written vs shorthand

written is not a noun while shorthand is a noun.

Word	Noun	Adjective	Verb	Adverb
written	No	Yes	No	No
shorthand	Yes	Yes	No	No

written (noun)	shorthand (noun)
	a method of writing rapidly using an abbreviated symbolic system

written (adjective)	shorthand (adjective)
set down in writing in any of various ways	written in abbreviated or symbolic form
systematically collected and written down
written as for a film or play or broadcast