Solve what? By going down the path of decompiling something you create your own little problem domain in which you will have to do your own research and solve your own bottlenecks. If you want outside help, don't do questionable things like decompiling classes and then try to recompile them. Work from the original source, if you don't have it get it. If you can't get it you were not supposed to get it in the first place and you're doing something possibly illegal.
My question was simple...
I just wanted to know about the access$ method and was seeking help to find out how it was generated...
And the answer is just as simple.
It was generated by the decompiler from the class file you provided. After all, that is what a decompiler does. You provide a class file - it generates, or tries to generate, a reconstructed version of a source file.
Here is a link you can use to get ALL of the detailed information and they have access to the source code.