I'm not sure if the size of the tile would create the white stripe or not.

I checked the pixel size of your texture image because sometimes if an image is not in exact pixel amounts, you will get a whitish area around the outside caused when the image is anti-aliased to the page background color. But your image was good.

I create repeating patterns for my stereograms (also many of the repeating Website Backgrounds in the Designs Gallery), so I figured at the very least you could cut down on the load time by using a smaller texture image.