mattsbox99 said:
The legal minimum without paperwork is 16". I find it funny that a short rifle is a $200 stamp and a short shotgun is only a $5 stamp.
No, minimum length for a shotgun barrel is 18", rifles are 16". Also, a short barreled shotgun still costs $200 to either manufacture or transfer, same as a short barreled rifle. AOWs(all other weapons) cost $200 to manufacture and $5 to transfer. In order for a shotgun with a barrel length less than 18" to be considered an AOW it must be equipped with a pistol grip, not a stock, and can never have had a stock on it at any point in it's life. In other words, something like a Mossberg Cruiser could be converted to an AOW but it would still cost $200 to do so, and if you have ever put a stock on it for even a single moment you're breaking the law, before or after you made it into an AOW.
The reason the 20" barrel doesn't gain velocity over an 18.5" barrel is because shotgun shells use very fast burning powder, so most of the energy from the powder is expended quite early, typically in the first 14" or so. This means a 20" barrel wouldn't even have a significant advantage over a 14", let alone an 18.5" barrel. So basically anything over 14" and the projectiles are just kinda cruising down the barrel, not being pushed, and any length beyond that has nothing to do with velocity or patterning. The length is there for various other reasons such as legality, weight and swing for different types of shooting, mag capacity, etc.
Unless you like the swing and balance of a 20" over the 18" or 18.5", or have a need for another round in the tube, there just isn't much point to go for the longer barrel. The 18" does everything the 20" can but is obviously slightly more maneuverable. That's not to say 20" is a bad thing, it just doesn't do anything better than the 18-18.5" barrels. That's why most "tactical" shotguns are shorter.