A computing device includes an interface configured to interface and communicate with a dispersed storage network (DSN), a memory that stores operational instructions, and a processing module operably coupled to the interface and to the memory such that the processing module, when operable within the computing device based on the operational instructions, is configured to perform various operations. When additional unique pillar combinations of at least read threshold number of encoded data slices (EDSs) supported by EDSs may be needed, the computing device dispersed error encodes each data segment in accordance to generate additional pluralities of EDSs and distributedly stores the additional pluralities of EDSs associated respectively with the data object across the plurality of SUs within the DSN to support the additional unique pillar combinations of the at least read threshold number of EDSs.