datagram wrote:Ah...I hadn't thought of that (bad idea, anyways, isn't it

?) But I went over the math and this is correct (and works globally):
[...]
Please let me know if I've made another mistake!
I don't think so. But your remark "bad idea", is that related to the concept of spreading masterkey discs over multiple chambers? It might be a bad idea, but at least around here in Germany it is employed very often in apartment houses.
Here you need a system that allows only one key bitting to open the individual apartment door (master keys for the owner or proprietor are not legal, as no insurance company would insure burglary if an "outsider" has a key). But there are usually lots of doors/locks that require to be operated by anyone, such as the main entrance, basement doors, doors to utility rooms, etc. For added convenience (who wants to fiddle around with so many keys) you usually have one key that opens all those doors plus the individual apartment door, therefore the "public" locks are often setup like this.
I think so at least, never took apart a lock from a door like this. But considering an apartment complex with 40 apartments, you are absolutely forced to spread the masterkey dics over 2 or even three chambers to accomodate for the number of keys that should open the lock. Even with only like 10 apartments, it would be better to spread the setup over two chambers, because we have seen that it is mathematically more sound solution. You could put all these discs into one chamber (there are quite some manufacturers in Germany that have more than 12 bitting depths) but that would require 9 discs. Spread it over 3 chambers and you get away with using only 5 discs (3*3*2=12 possible keys)...
And yes, these are easy to open. I can rake the main entrance door of my place (which has only 12 apartments and a 6pin lock) in seconds with my pocketknife bogota. To the casual observer it might look like I am using a key with both of my hands.
Enough rambling...
Due to financial limitations the light at the end of tunnel has been turned off until further notice.