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Error Controls for Broadcast Communication Systems: An Integer Programming Approach to UEP Coding Scheme and A Deterministic Approach to Network Coding

Traditional network protocols employ error control techniques for reliable information dissemination over noisy communication channels. In this dissertation, two main topics are investigated for efficient error controls over a broadcast channel. First, unequal error protection (UEP) coding schemes for multiuser communications are investigated, and we propose integer programming approaches to UEP coding and decoding. Second, reliable packet transmissions over a single-hop broadcast network are considered, and we propose a unified solution to use a deterministic network coding for a packet retransmission scheme and a packet-level forward error correction scheme. For multiuser communications over a broadcast channel, integer programming approaches are introduced to the construction and the decoding of a binary linear UEP code. First, optimal UEP codes are constructed from integer programming for maximum efficiency, and lower bounds of UEP codes