1. Characterizing positive-rate key-cast (and multicast network coding) with eavesdropping nodes
- Author
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Langberg, Michael and Effros, Michelle
- Subjects
Computer Science - Information Theory - Abstract
In multi-source multi-terminal key-dissemination, here called ``key-cast,'' introduced by the authors in [ITW2022], network nodes hold independent random bits, and one seeks a communication scheme that allows all terminal nodes to share a secret key K. The work at hand addresses positive (albeit, arbitrarily small) rate key-cast under the security requirement that no single non-terminal network node can gain information about the shared key K; this scenario is useful in cryptographic settings. Specifically, key-dissemination protocols based on secure multicast network coding are designed. The analysis presented yields two combinatorial characterizations. In each, we assume a network in which an eavesdropper may access any individual network node. The first characterization captures all networks that support positive-rate secure multicast; computing the secure-multicast capacity in the setting studied is a known open problem. The second characterizes all networks that support positive-rate secure key-cast.
- Published
- 2024