The transmission of ATM, Internet, and
satellite communications is unified through international standardized protocol
embedment. Global and Local performance optimization are achieved through the combination of combinatorial, dynamic, and probabilistic
programming. A simultaneous
domino effect of bandwidth conservation, efficiency enhancement, reliability improvement,
traffic congestion prevention,
delay minimization, and speed multiplication are realized for any digital communication
system, particular in Internet. With three levels of error coding in ATM cells, the loss
cell recovery and bit integrity are preserved. From its mathematical roots, new combinatorial sets are systematically generated, and applications of the sets are identified. Among the applications, optimal sequences can be produced for multi-user and multi-function communication
system designs. Optimality is in terms of maximum possible number of sequences with given sequence length and sequence characteristics. The results are unique and theoretically proven. By serial and parallel
concatenation of error codecs, reliability of
multimedia transmission can be satisfied to any desirable level. As a part of the unified transmission scheme, the acquisition and synchronization method of cascading sequences exhibits significant improvement in correlation properties and detection probabilities. A method of using block designs is demonstrated to derive, to generate, and to construct low-density parity check block codes and threshold decodable convolutional codes. An efficiency evaluation method is formulated for the combination operation of ATM, Internet, and satellites.