Compressing cryptographic resources

Niv Gilboa, Yuval Ishai

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

8 Scopus citations

Abstract

A private-key cryptosystem may be viewed as a means by which a trusted dealer privately conveys a large, shared pseudo-random object to a pair of players, using little communication. Alternatively, the messages distributed by the dealer may be viewed as a secure compression of a pair of large identical random pads (or random functions) into a shorter shared “key" or “seed". We pose the question of extending this compression problem to more general correlation patterns among several players. Unlike the simple case of identical pads, where the main security concern is with respect to external eavesdroppers, in the case of general correlations participants also have to be protected from each other. That is, collusions of computationally-bounded players should gain no additional knowledge about the joint pads of the remaining players from the compressed messages they receive, other than what follows from the pads they generate and from knowing the joint distribution of all pads. While this ideal requirement is inherently impossible to meet using little communication, it turns out that it can be approximated to a satisfactory level, allowing to securely use such compressed correlated pads in a wide class of protocols. We propose a simple and modular replication-based approach for securely compressing any linear correlation pattern, using pseudo-random generators or pseudo-random functions in a black-box manner. Applications include amortizing the communication costs of private multi-party computation and proactive secret-sharing of large secrets.

Original languageEnglish
Title of host publicationAdvances in Cryptology – CRYPTO 1999 - 19th Annual International Cryptology Conference, Proceedings
EditorsMichael Wiener
PublisherSpringer Verlag
Pages591-608
Number of pages18
ISBN (Print)3540663479, 9783540663478
DOIs
StatePublished - 1 Jan 1999
Externally publishedYes
Event19th Annual International Cryptology Conference, CRYPTO 1999 - Santa Barbara, United States
Duration: 15 Aug 199919 Aug 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1666
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th Annual International Cryptology Conference, CRYPTO 1999
Country/TerritoryUnited States
CitySanta Barbara
Period15/08/9919/08/99

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