An aggregated file is generated, by storing a plurality of initially provided files in a sequence. A computational device executes a first set of compression operations on each of the plurality of initially provided files to generate a plurality of compressed files that replace the plurality of initially provided files, wherein starting locations of the plurality of compressed files and the plurality of initially provided files are identical, and wherein predetermined bit patterns are stored in empty spaces that follow each of the plurality of compressed files. The computational device sends the aggregated file to a linear storage device configured to perform a second set of compression operations on the aggregated file.