I believe OverRun is correct. The Jepp note should probably say "Class D" instead of "Category D". The note refers to operations under the following standard:
10.3.2.4 At Class D aerodromes, ATC may authorise simultaneous, same direction operations on:
(a) parallel runways; or
(b) parallel landing areas; or
(c) a runway and a parallel landing area;
only if:
(d) Class D visual meteorological conditions exist, or visual separation between the relevant aircraft is applied; and
(e) 2-way radio communication is maintained with the aircraft involved; and
...etc...
Manual of Standards Part 172 - Air Traffic Services
Note: ICAO aerodrome reference classification is always a number followed by a letter, e.g., "4D". The letter ("D") actually refers to supported aircraft wingspan, so it doesn't define a category for the aerodrome itself.