Freebore, the section of the barrel between the chamber and where the rifling begins, can allow the speed of the projectile to increase before the bullet is engraved by the rifling, thus increasing muzzle velocity. Weatherby commonly had long freebore in their barrels to increase muzzle velocity.
Paradox rifling is an extreme example of this, where the rifling is only at the very end of the barrel.
This is all well and good, but there are some disadvantages to doing this:
1. As el jefe noted, obturation, or the expansion of the bullet to seal the gasses behind it, is an issue
2. Usually, best accuracy is achieved by the bullet resting against the beginning of the rifling. This is because the bullet must enter the rifled part of the barrel exactly on the rifled bore's axis, and not crooked at all. If the bullet is launched out of the barrel crooked, inaccuracy results.
3. The bullet material must be strong enough to resist "tearing" of the bullet material and having the bullet "jump" the rifling lands. This often results in copper and/or lead deposits in the barrel, clogging the grooves of the rifling. Jumping the rifling lands and barrel deposits both contribute to inaccuracy. Loading the bullet right up against the rifling can increase chamber pressure and lower muzzle velocity, but a long throat (or, at the extreme, a paradox bore) will allow higher velocity to develop. If velocity is increased beyond the bullet's ability to engrave and grip the rifling, accuracy can be affected.
4. The twist of the rifling controls how fast the bullet spins for a given velocity. It is usually best to spin a bullet fast enough to stabilize it, but no more. Too fast of a twist, or spin of the bullet, can result in "over-stabilization. You will note that the bullet's construction, similar to (3.) above, must resist the tendency of the bullet to fly apart due to thousands of rpms. Also, any imbalance of the bullet from errors in the manufacturing process, or from damage in handling or cycling through the action, will cause an out-of-balance condition as the bullet is rotated, which, in turn, will cause the bullet to wobble in flight. The faster the bullet is rotated, the more the imbalance will affect it, by geometrical factors.
5. How fast must the bullet be spun to stabilize it? Diameter plays a role here, as does velocity, and also the length of the bullet. a long bullet requires a faster twist to stabilize than a shorter bullet. This is also somewhat related to weight: For instance, the 1:10 twist of the 30-06 is said to stabilize bullets up to 220 grains, but heavier bullets can be unstable. Similarly, some folks will order a barrel in 1:12 twist, if they shoot only lighter bullets of, say, 150 grains from their 30-06. Or, a 308 or 300 Savage rifle might have a 1:12 twist, because lighter bullets are often used with these cartridges. However, the major issue here is not the bullet weight, it is the length. A round ball, often used in muzzle loaders, is not a "long" bullet at all, and round ball muzzle loaders which usually have large bores, often have a 1:60 or 1:72 twist. (Some modern muzzle loaders will have a 1:48 twist, or faster, so the gun can be used with conical, minie, or other type of bullet. However, when shooting a round ball, the slower twists are more accurate.)
If you wish to get into the mathematical weeds of this issue, here's a Wiki to read:
https://en.wikipedia.org/wiki/Miller_twist_rule
If you are lazy, like me, you can google this subject and find any number of calculators for finding an optimal twist rate, and sometimes the math behind them. Here's a few:
https://bergerbullets.com/twist-rate-calculator/
http://kwk.us/twist.html
https://www.vcalc.com/wiki/AndrewBudd/G ... Twist+Rate
I studied this stuff deeply when considering a bullet mould for my Husqvarna 45-70 rifle. As it is a light rifle (VERY light!), a heavy bullet has penalties, but perhaps may be more accurate. In the end, I just gave up on it and figured I'd stick with my "collar button" bullets, intended for gallery, or .22 style shooting, and use my Martini Henry if I wanted to hog hunt with a big boomer.