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A major challenge of wireless multicast is to be able to support a largenumber of users while simultaneously maintaining low delay and low feedbackoverhead. In this paper, we develop a joint coding and feedback scheme namedMoving Window Network Coding with Anonymous Feedback (MWNC-AF) thatsuccessfully addresses this challenge. In particular, we show that our schemesimultaneously achieves both a constant decoding delay and a constant feedbackoverhead, irrespective of the number of receivers $n$, without sacrificingeither throughput or reliability. We explicitly characterize the asymptoticdecay rate of the tail of the delay distribution, and prove that transmitting afixed amount of information bits into the MWNC-AF encoder buffer in eachtime-slot (called "constant data injection process") achieves the fastest decayrate, thus showing how to obtain delay optimality in a large deviation sense.We then investigate the average decoding delay of MWNC-AF, and show that whenthe traffic load approaches the capacity, the average decoding delay under theconstant injection process is at most one half of that under a Bernoulliinjection process. In addition, we prove that the per-packet encoding anddecoding complexity of MWNC-AF both scale as $O(\log n)$, with the number ofreceivers $n$. Our simulations further underscore the performance of our schemethrough comparisons with other schemes and show that the delay, encoding anddecoding complexity are low even for a large number of receivers, demonstratingthe efficiency, scalability, and ease of implementability of MWNC-AF.

Constant Delay and Constant Feedback Moving Window Network Coding for Wireless Multicast: Design and Asymptotic Analysis