Data files with digital envelops may be used for many new applications for cloud computing. The new applications include games and entertainments such as digital fortune cookies, and treasure hunting, unique techniques for digital right management, or even additional privacy and survivability on data storage and transport on cloud computing. Wavefront multiplexing/demultiplexing process (WF muxing/demuxing) embodying an architecture that utilizes multi-dimensional waveforms has found applications in data storage and transport on cloud. Multiple data sets are preprocessed by WF muxing before stored/transported. WF muxed data is aggregated data from multiple data sets that have been “customized processed” and disassembled into any scalable number of sets of processed data, with each set being stored on a storage site. The original data is reassembled via WF demuxing after retrieving a lesser but scalable number of WF muxed data sets. A customized set of WF muxing on multiple digital files as inputs including at least a data message file and a selected digital envelop file, is configured to guarantee at least one of the multiple outputs comprising a weighted sum of all inputs with an appearance to human natural sensors substantially identical to the appearance of the selected digital envelop in a same image, video or audio format. Enveloping processing is a subset of WF muxing processing. The output file is the file with enveloped or embedded messages. The embedded message may be reconstituted by a corresponding WF demuxing processor at destination with the known a priori information of the original digital envelope. In short, digital enveloping/de-enveloping can be implemented via WF muxing and demuxing formulations. WF muxed data featured enhanced privacy and redundancy in data transport and storage on cloud. On the other hand, data enveloping is an application in an opposite direction for conventional WF muxing applications as far as redundancy is concerned. Enveloped data are intended only for limited receivers who has access to associated digital envelope data files with enhanced privacy for no or minimized redundancy.