Dear blocked sockpuppet,
We are sorry that you find yourself permanently blocked as a sockpuppet of someone you claim to have no connection to. While we can never be absolutely sure that this account and the other account are being operated by the same person, we can be sure enough to issue blocks. There is plenty of evidence to suggest a firm link in your case, and of course, for every one user who is incorrectly blocked as a sockpuppet, there are dozens of instances of a true sockpuppet claiming not to be one. (Think about it: what do they have to lose?)
So, in the end only you know the truth as to whether you are in fact a sockpuppet. Therefore, let us give the following advice.
If you are a sockpuppet, please stop wasting our time and find something else to do. Yes, it's very annoying. Now, move on.
If you are really not a sockpuppet, forget about "clearing your name" or getting this block reversed, it's extremely unlikely to happen. Instead, just register a new account in 24 hours and start using that one if you want to edit. It's possible you accidentally stumbled into the edit pattern of a banned user, and you may or may not have been making bad edits. However, just to be on the safe side, you might want to read up on the basics of Wikipedia before you start editing again.
Thanks,
The management.