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Information disclosure in the framework of kolmogorov complexity

Theoretical Computer Science. 2023. Vol. 940. P. 108–122.
Vereshchagin N.

We consider the network consisting of three nodes 1, 2, 3 connected by two open channels
1 → 2 and 1 → 3. The information present in the node 1 consists of four strings x , y , z , w.
The nodes 2, 3 know x , w and need to know y , z, respectively. We want to arrange
transmission of information over the channels so that both nodes 2 and 3 learn what they
need and the disclosure of information is as small as possible. By information disclosure
we mean the amount of information in the strings transmitted through channels about
x , y , z , w (or about x , w). We are also interested in whether it is possible to minimize
the disclosure of information and simultaneously minimize the length of words transferred
through the channels.

Research target: Computer Science Mathematics
Language: English
Full text
DOI
Text on another site
Keywords: information disclosureinformation transmissioncryptographyKolmogorov complexity
Publication based on the results of:
Mathematical methods inthe studies of definitional complexity, computational complexity and formal language (2023)
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