Logo Design - Best practice to avoid shape anti-aliasing borders
What's the best way to avoid the anti-aliasing borders that can form in the following situation.
Final goal demo shape (Imported to PS to show transparency)

Note that for the white section it can't be cut out of the maroon shape - as this needs to be a solid white when using on a transparent background.
Now from Illustrator (as far as I'm aware there are two different ways to create the above.
A) Clipping mask
B) Use Pathfinder to crop white shape and position in circle.
Both these methods when used both end up with a thin border caused by anti-aliasing that looks like this:

What's the best approach to ensure this doesn't happen when converted to a raster format (or even viewed at different sizes etc when exported as a PDF).
I've experimented with cutting the scissors tool at either side of the white shape which does seem to work, but I'm wondering if there is a better way to do this...?
Cheers!
