I think white is the only color you can't use over a barred hen to get sex-links. From my understanding, there are two types of white, dominant white and recessive white. If your rooster were homozygous for dominant white, then all of the chicks from this breeding would be white, male and female. If he were heterozygous for dominant white, he could be hiding any color under the white, including barred (in fact, there's a good chance that a white bird is carrying the barred gene). If he were dominant white carrying the barred gene, then some of the chicks would be white and some would be barred, again both males and females. I'm not really sure if you would get sex-links using recessive white, but if it were likely/possible then the chicks should just be regular black sex-links where the females are "solid" black (usually with some leakage) and the males are barred. What I do know is that a lot of the people who are working on barred projects in breeds where barred is not currently an accepted color seem to have gotten started on their barred projects using whites.