A method begins by a DS processing module generating a plurality of encoded slices from a data segment using an error encoding function. The method continues with the DS processing module identifying a plurality of DS storage units for storing the plurality of encoded slices. The method continues with the DS processing module selecting an encoded slice of the plurality of encoded slices for sub-slicing using a sub-slicing encoding function to produce a selected encoded slice. The method continues with the DS processing module outputting the plurality of encoded slices to the plurality of DS storage units. The method continues with the DS processing module outputting a command to a DS storage unit of the plurality of DS storage units corresponding to the selected encoded slice, wherein the command includes an instruction to sub-slice the selected encoded slice.