pedda - your info is correct, however, a white bird cannot carry the pied gene.
johnskoi - if you understand how the pied genetics work, it may be simpler to figure out how white can be dominant. I treat white as a pattern, because of the characteristic to mask any other colour and it being one half of the pied pattern. This is most useful when writing out your punnett squares. White works in similar fashion to White-eyed. It is partially dominant (co-dominant), meaning with only one white (or white-eyed) gene, the characteristic is partially exhibited visually.
A pied bird carries both one pied gene and one white gene (they occupy the same loci or location in the gene sequence - meaning you can't have one white, and two pied genes, vice versa, or two of both). Assuming you breed Indian blue pied to Indian blue pied you get birds of the following patterns - white, dark pied and pied. If you breed Bronze pied to Bronze pied, you still get the following patterns - white, dark pied and pied. All offspring from the Bronze pied pairing will be bronze, just as Indian blue to Indian blue produces Indian blue. Therefore, your Bronze pied pairing produces white offspring that are actually bronze. If you breed these white bronze birds to a regular bronze hen, all offspring will be bronze split to white.
I hope that helps. The main thing would be to treat white not as a colour, but as a pattern.