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Secret key agreement by public discussion from common information

Maurer, U.M.·1993·IEEE Transactions on Information Theory

Abstract

The problem of generating a shared secret key S by two parties knowing dependent random variables X and Y, respectively, but not sharing a secret key initially, is considered. An enemy who knows the random variable Z, jointly distributed with X and Y according to some probability distribution P/sub XYZ/, can also receive all messages exchanged by the two parties over a public channel. The goal of a protocol is that the enemy obtains at most a negligible amount of information about S. Upper bounds on H(S) as a function of P/sub XYZ/ are presented. Lower bounds on the rate H(S)/N (as N to infinity ) are derived for the case in which X=(X/sub 1/, . . ., X/sub N/), Y=(Y/sub 1/, . . ., Y/sub N/) and Z=(Z/sub 1/, . . ., Z/sub N/) result from N independent executions of a random experiment generating X/sub i/, Y/sub i/ and Z/sub i/ for i=1, . . ., N. It is shown that such a secret key agreement is possible for a scenario in which all three parties receive the output of a binary symmetric source over independent binary symmetric channels, even when the enemy's channel is superior to the other two channels.>

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Metadata

Authors
Maurer, U. M.
Venue
IEEE Transactions on Information Theory
Published
1993-05
Volume
39
Issue
3
Pages
733-742
ISSN
  • 0018-9448 (ISSN-L)
  • 1557-9654
OpenAlex
W2106833918
Cited by
2,005
References
4
FWCI
7.40
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Secret key agreement by public discussion from common information. https://app.cochat.ai/papers/10.1109/18.256484
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Maurer, U. M. (1993). Secret key agreement by public discussion from common information. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.256484

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