Barrel length
There are several parts of a barrel
1. chamber 2.75 3 or 3.5" usually.
2. Forcing cone. This is the section from the chamber to the bore.
A short cone deforms shot and cause recoil. A longer cone eases the transition, reduces recoil and preserves the pattern possibilities.
3. Bore 12 to 14" is all that is needed with current loads.
Gun manufactures made shorter barrels so ammo companies made shells to shoot in them. Or vise versa. Its a chicken or the egg thing.
Bores can be polished smoothed,"lined" or rifled.
Lined and rifled bores with thin lines cut either straight or spiral respectively.
Wider bores make better patterns. "overbored" "backbored" are two types.
Different manufactures use different bore widths ans some manufactures differ from model to model.
4. Choke is the constriction at the end of the barrel.
It tightens the shot column. It is the final adjustment to the pattern.
All of these are much more important than length,