1. A method comprises: receiving data segments of a data stream to produce received data segments; in order of receiving the data segments: encrypting a data segment of the received data segments to produce an encrypted data segment; and dispersed storage error encoding the encrypted data segment to produce a set of encoded data slices; buffering encoded data slices of sets of encoded data slices to produce buffered encoded data slices; comparing a number of buffered encoded data slices to a threshold; and when the number of buffered encoded data slices compares favorably to the threshold, outputting the encoded data slices of the buffered encoded data slices based on a pseudo-random sequencing order.