Abstract: In one embodiment, a method of encompressing a data stream includes compressing vectors from the data stream using (e.g., transformed with) one or more Multiple Attractor Cellular Automatas (MACAs) and encrypting the compressed vectors using multiple Cellular Automata (CA) transforms. In another embodiment, a system for encompressing a data stream includes a Programmable CA (PCA) operable to receive vectors from the data stream, a program memory and an index memory each operable to communicate with the PCA, and an index register operable to communicate with the index memory. The program memory stores a program that is operable to configure the PCA with a rule vector of a CA and enable the PCA to be run through a number of cycles controlled by the program, a resulting Pseudo-Exhaustive Field (PEF) value being directed to address the index memory. The index memory provides values to the index register, enabling a code-book index to be generated for a token loaded into the PCA.