  In this paper we propose a way of determining the subleading corrections to
the Bekenstein-Hawking black hole entropy by considering a modified generalized
uncertainty principle with two parameters. In the context of modified
generalized uncertainty principle, coefficients of the correction terms of
black hole entropy are written in terms of combination of the parameters. We
also calculate corrections to the Stefan-Boltzman law of Hawking radiation
corresponding to modified generalized uncertainty principle. By comparing the
entropy with one from black holes in string theory compactified on a Calabi-Yau
manifold, we point out that the topological information of the compactified
space can not easily be related to the parameters in modified generalized
uncertainty principle.
