Which doesn't work, because dikote combat knives could be easily made. With my formula troll/dwarf tax (which is only to cost of living) is not worried about, since only handles are really modified, not the blade itself. That way non-reach weapons cost +20k, reach 1 cost +40k, and reach 2 cost +60k (which would be an odd price for spears/polearms since only the blade is dikote treated) but fine for the combat axe (big blade) or claymore (most blade).
No, katana is Japanese for sword, with various sizes and lengths (which also come in multiple sizes and blade widths, length 60-73 cm and about 1.8-3cm in width). Same as saying just use the size of a k-bar, which also uses various sizes. Plus, only the blade is coated, not the whole weapon.
Also, that is 4thA rules, which we are not discussing nor would I subject anyone to using such insane cost calculation for a game.