Playing the game, going with Matt Jeffries original hull designation scheme, with some modifications...
1.) NCC being changed to Naval Construction Contract as F.J. Schnaubelt proposed as NC isn't used anymore since the early 1950's for aircraft designation and is invalid.
2.) The first vessel in the class gets a -00 registry.
3.) The 1701 being used as a tail-number with a more formal designation like Naval Construction Contract 17-00, which allows provision for more than 100 vessels in the class built for example 17-99 (1799) and 17-100 (on the hull as 17100). As I said this isn't much different than 62-0001 being the formal designation for the first XB-70, but the tail number being 20001.
What classes would fit into these numbers?
Naval Construction Contract 01-00 / NCC-100 = Daedalus-Class (NCC-176 was the USS Horizon)
Naval Construction Contract 02-00 / NCC-200 = ???
Naval Construction Contract 03-00 / NCC-300 = ???
Naval Construction Contract 04-00 / NCC-400 = ???
Naval Construction Contract 05-00 / NCC-500 = ???
Naval Construction Contract 06-00 / NCC-600 = ???
Naval Construction Contract 07-00 / NCC-700 = ???
Naval Construction Contract 08-00 / NCC-800 = ???
Naval Construction Contract 09-00 / NCC-900 = ???
Naval Construction Contract 10-00 / NCC-1000 = ???
Naval Construction Contract 11-00 / NCC-1100 = ???
Naval Construction Contract 12-00 / NCC-1200 = ???
Naval Construction Contract 13-00 / NCC-1300 = ???
Naval Construction Contract 14-00 / NCC-1400 = ???
Naval Construction Contract 15-00 / NCC-1500 = ???
Naval Construction Contract 16-00 / NCC-1600 = ???
Naval Construction Contract 17-00 / NCC-1700 = Constitution Class
Naval Construction Contract 18-00 / NCC-1800 = Miranda/Avenger-Class (USS Reliant)
- The Daedalus was designed in 2156
- The Federation was established in 2161
- The Constitution class was designed in 2243 or 2245
So basically this designation system would have to cover 87 or 89 years of ships, with 17 distinct classes developed over that time period. That comes out to on average one class of ship every 5 years. The Daedalus was around awhile, so it's possible that years went by then a bunch of different ships were developed, one or two created here and there, then time went by and a few more were developed.
CuttingEdge100
I like this. A lot. I'm not sure if it's totally workable, and I still hate the idea of "Naval Construction Contract" a little, but I do like the scheme. I suppose a good question would also be whether to include FJ's ship classes?
Also, don't forget that U.S.S. Grissom was NCC-638. Perhaps this scheme would be replaced by a flatly sequential one by the 2290s/2300s?