1. A method for execution by a computing core of a computing device, the method comprises: segmenting data into a plurality of data segments; on a data segment by data segment basis: performing a decode threshold level of dispersed storage error encoding on a data segment of the plurality of data segments to produce a set of decode threshold level encoded data slices; caching the set of decode threshold level encoded data slices, wherein, for the plurality of data segments, a plurality of sets of decode threshold level encoded data slices are created; on set by set basis, performing a redundancy level of dispersed storage error encoding based on one of the plurality of sets of decode threshold level encoded data slices to produce a set of redundancy error coded data slices, wherein a plurality of sets of redundancy error coded data slices are created based on the plurality of sets of decode threshold level encoded data slices; and outputting at least one of: at least some of the plurality of sets of decode threshold level encoded data slices; and at least a corresponding some of the plurality of sets of redundancy error coded data slices.