A protocol to transform Svetlichny's genuine multipartite correlations into standard isotropic form

The standard isotropic correlations are widely used in the research of no-locality of quantum physics. We prove that any multipartite no-signaling correlation can be transformed into standard isotropic form through a randomization procedure which do not change Svetlichny's genuine multipartite correlation. For the tripartite correlations, every part with two-input and two-outcome, we explicitly give the protocol and the proof of its validity. We then generalize the protocol to deal with the case of N-partite.