Where does “가타카나” come from?

가타카나 (Korean) comes from Japanese 片仮名, from Japanese 仮名, from Japanese 名, from Middle Chinese 名 — name.

가타카나 (Korean): katakana

Definitions

Step	Language	Word	Meaning
1	Japanese	片仮名	Katakana, a set of Japanese syllabary characters,...
2	Japanese	仮名	a category of Japanese syllabary scripts: kana; a...
3	Japanese	名	name; reputation; famous, great, noted
4	Middle Chinese	名	name