Reordering of a bitstream is able to be used to speed up the decoding in embedded graphics coding. In the reordering, the signaling bits of all of the groups are sent and then the refinement bits of each group follow. With this reordering, the decoder can decode the header, identify the number of refinement bits for each group and locate the starting point of each group within the bitstream, therefore parallel processing of each group is able to be implemented at the decoder side.