Privacy, additional information, and communication

Reuven Bar-Yehuda*, Benny Chor, Eyal Kushilevitz

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Two parties which hold n-b inputs x and y, respectively, wish to cooperate in computing a predetermined function f(x,y). For most functions f, this task cannot be accomplished privately, namely, without revealing some additional information to at least one of the parties. The authors initiate a quantitative study of T(f), the minimum amount of additional information revealed in any computation of f. This quantity is formally defined, and a combinatorial characterization which determines the value T(f) (up to a multiplicative factor of 2) is found. This enables the authors to give tight lower and upper bounds on the amount of additional information required for computing various (explicit and random) functions. It is shown that additional information is a resource which can be traded for communication complexity.

Original languageEnglish
Title of host publicationProc Fifth Annu Struct Complexity Theor
PublisherPubl by IEEE
Pages55-65
Number of pages11
ISBN (Print)0818620722
StatePublished - 1990
Externally publishedYes
EventProceedings of the Fifth Annual Structure in Complexity Theory Conference - Barcelona, Spain
Duration: 8 Jul 199011 Jul 1990

Publication series

NameProc Fifth Annu Struct Complexity Theor

Conference

ConferenceProceedings of the Fifth Annual Structure in Complexity Theory Conference
CityBarcelona, Spain
Period8/07/9011/07/90

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