Set reconciliation with nearly optimal communication complexity

@article{Minsky2001SetRW,
  title={Set reconciliation with nearly optimal communication complexity},
  author={Yaron Minsky and Ari Trachtenberg and Richard Zippel},
  journal={IEEE Trans. Information Theory},
  year={2001},
  volume={49},
  pages={2213-2218}
}
We consider the problem of efficiently reconciling two similar sets held by different hosts while minimizing the communication complexity, which we call the set reconciliation problem. We describe an approach to set reconciliation based on a polynomial encoding of sets. The resulting protocols exhibit tractable computational complexity and nearly optimal communication complexity when the sets being reconciled are sparse. Also, these protocols can be adapted to work over a broadcast channel… CONTINUE READING
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