kg4boj wrote:the way it works is there are more pins added to the stack to allow more than one shear line to be present in the lock...
ie if we are only looking at two pin stacks, lets say one has the following bitting 11 and another lock has a 44.
obviously the same key wont work in both, but lets say we add # 3 master pins on top of the 11 bitted lock. The lock will work with a key cut to 11, 14,or 44 bitting. Now if you had a key cut to 11, it would work the first (11) but not the second (44) but you could have a key cut to (44) that would work both.
A key cut to 41 will also operate the lock. I'm not in the mood to work out the math, but you can imagine how masterkeying (not including master rings) dramatically increases the number of keys that will open a lock. This also makes picking significantly easier in most cases (you get two chances per masterkeyed stack instead of one to hit that shear line!) Some master key systems have an additional vulnerability described by Matt Blaze in his paper "Rights-Amplification in Master Keyed Systems" (something like that anyway). If someone knows of a really good paper on masterkeying systems in general, I'd love a link. The specifics of TMK, GMK, cross-keying, maison keying, etc.. are still a very alien world to me.