A method begins with a processing module determining that storage of data requires updating, wherein the data is stored as a plurality of sets of encoded data slices in DSN memory. For a first type of updating, the processing module increases the total number while maintaining the decode threshold number. The processing module then, for each set of encoded data slices, creates another encoded data slice in accordance with the dispersed storage error encoding function and the increased total number and sends the new encoded data slices to the DSN memory. For a second type of updating, the processing module increases the total number and the decode threshold number. The processing module then recovers the data and encodes it in accordance with the dispersed storage error encoding function using the increased total number and the increased decode threshold number to produce an updated plurality of sets of encoded data slices.