  As Noether's theorem states any differentiable symmetry of the action of a
physical system has a corresponding conservation law. Lipkin introduced the
conservation laws of zilches. But the corresponding symmetries are yet to be
determined. Here we find a method to determine those symmetries and by direct
calculations express the zilch tensor's relation to current-density for
$n$-dimensional Minkowski space-time. Also, we extend this method to calculate
symmetries of conservation of energy-momentum. Finally we show that in the
special case of n=4, our general equation governing optical chirality reduces
to the continuity equation of optical chirality density and optical chirality
flow.
