For applying to various error patterns, including random errors, burst errors, and inhomogeneously distributed errors, in
the holographic data storage (HDS) channel, a three-dimensional error correcting with matched interleaving (3DEC-MI)
scheme is proposed in this paper. The 3DEC-MI scheme combines the advantages of the three-dimensional error
correcting scheme and the matched interleaving scheme, makes full use of the priori knowledge of the error patterns in
the HDS channel, distributes errors more uniformly, and decodes data iteratively in three dimensions. It is able to
eliminate the influences of non-uniform distribution of errors within a page and across pages, overcome the effects of
burst errors, correct random errors, and effectively reduce the symbol error rate (SER) of the HDS channel.