On average throughput benefits and alphabet size in network Coding. Chekuri, C., Fragouli, C., & Soljanin, E. ISIT, 2005.
abstract   bibtex   
We analyze a special class of configurations with $h$ sources and $N$ receivers to demonstrate the throughput benefits of network coding and deterministic code design. We show that the throughput benefits network coding offers can increase proportionally to ${\}sqrtN$, with respect to the average as well as the minimum throughput. We also show that while for this class of configurations there exists a deterministic coding scheme that realizes these benefits using a binary alphabet, randomized coding may require an exponentially large alphabet size.
@article{chekuri_average_2005,
 abstract = {We analyze a special class of configurations with \$h\$ sources and \$N\$ receivers to demonstrate the throughput benefits of network coding and deterministic code design. We show that the throughput benefits network coding offers can increase proportionally to \${\textbackslash}sqrtN\$, with respect to the average as well as the minimum throughput. We also show that while for this class of configurations there exists a deterministic coding scheme that realizes these benefits using a binary alphabet, randomized coding may require an exponentially large alphabet size.},
 type={4},
 author = {Chekuri, C. and Fragouli, C. and Soljanin, E.},
 journal = {ISIT},
 tags = {network_coding},
 title = {On average throughput benefits and alphabet size in network {Coding}},
 year = {2005}
}

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