I wasn't aware that noise-distraction is an issue in Asperger's syndrome, but there have been quite a few questions here about these issues in the context of ADD.
It is well known (see Joel's blog) that developers work well in a physically separated location that also insulates sound, but still with enough closeness to the team when necessary. If you work too much from home you may not be considered a team player, and your employer doesn't sound like he provides offices (or that can sound like preferential treatment).
In my first job, I used to work right next to our purchasing department and the neverending speakerphone chatter always drove me insane. I found sound blocking to not be sufficiently effective, and the frequent visual distraction of people moving around to annoy me as well. I'm afraid that I just lived with that, though I am sure that my productivity was reduced because of it. I hated staring assembly code in the face when the woman in the cubicle next to me started chatting with her mother on speakerphone...
If you work with a laptop, perhaps you can frequently move to an empty conference room? This way you're still around and don't "have an office" but you are physically isolated?