A method begins by a processing module storing a set of encoded data slices in storage units. A data segment of data is encoded, in accordance with dispersed storage error encoding parameters, to produce the set of encoded data slices. The dispersed storage error encoding parameters include a decode threshold number and a pillar width number, which is at least twice the decode threshold number. The method continues with the processing module processing a first request for retrieval of the data segment by retrieving a first sub-set of encoded data slices, which includes the decode threshold number, and decoding them to produce a first recovered data segment. The method continues with the processing module processing a second request for retrieval of the data segment by retrieving a second sub-set of encoded data slices, which includes the decode threshold number, and decoding them to produce a second recovered data segment.