  The holographic bound asserts that the entropy $S$ of a system is bounded
from above by a quarter of the area ${\cal A}$ of a circumscribing surface
measured in Planck areas: $S\leq {\cal A}/4{\ell^2_P}$. This bound is widely
regarded a desideratum of any fundamental theory. Moreover, it was argued that
the holographic bound is necessary for the validity of the generalized second
law (GSL) of thermodynamics. However, in this work we explicitly show that
hyperentropic systems (those violating the holographic entropy bound) do exist
in higher-dimensional spacetimes. We resolve this apparent violation of the GSL
and derive an upper bound on the area of hyperentropic objects.
