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REPORTPUBLIC METADATA

The Price of Privacy: Randomness Complexity of Graph-Based Multi-Secret Sharing

ePrint Report: The Price of Privacy: Randomness Complexity of Graph-Based Multi-Secret Sharing Piotr Marszalik We study the randomness required to share possibly correlated secret bits among parties connected by a graph. A dealer places shares on the edges so that each party can recover its own secret from its incident shares and learn nothing about the others beyond what its own secret reveals. Anilkumar et al. completely determined the minimum randomness required for three binary secrets. We extend this study to four secrets and obtain results for arbitrary numbers of secrets on general graphs. For four parties on a complete graph, we determine the minimum number of random states for every set of permitted secret combinations: the possible values are one, two, three and four. We also characterize when one random bit suffices on an arbitrary graph.

Reference details

Source category
research-report
First reported
Oct 08, 2026 20:36 UTC
Last reported
Oct 08, 2026 20:36 UTC
Catalog updated
Oct 13, 2026 04:25 UTC
Record ID
90c615f7e14f15b12dc7a6e457164c017d5367b3a65478a891b6e401a8538a4e

Published indicators

Network indicators are visibly defanged. This page does not make them clickable or send them to another service.

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Source observations

intelligence_src_e53adb99e40ae66258

Source-provided label
Publisher RSS metadata
Evidence class
mentioned in report
Confidence
Not reported
Observed
Oct 08, 2026 20:36 UTC
Retrieved
Oct 13, 2026 04:25 UTC

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