On the impossibility of private key cryptography with weakly random keys

James L. McInnes, Benny Pinkas

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

37 Scopus citations

Abstract

The properties of weak sources of randomness have been investigated in many contexts and using several models of weakly random behaviour. For two such models, developed by Santha and Vazirani, and Chor and Goldreich, it is known that the output from one such source cannot be “compressed” to produce nearly random bits. At the same time, however, a single source is sufficient to solve problems in the randomized complexity classes BPP and RP. It is natural to ask exactly which tasks can be done using a single, weak source of randomness and which cannot. The present work begins to answer this question by establishing that a single weakly random source of either model cannot be used to obtain a secure “one-time-pad” type of cryptosystem.

Original languageEnglish
Title of host publicationAdvances in Cryptology – CRYPTO 1990, Proceedings
EditorsAlfred J. Menezes, Scott A. Vanstone
PublisherSpringer Verlag
Pages421-435
Number of pages15
ISBN (Print)9783540545088
DOIs
StatePublished - 1991
Externally publishedYes
Event10th Conference on the Theory and Application of Cryptography, CRYPTO 1990 - Santa Barbara, United States
Duration: 11 Aug 199015 Aug 1990

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume537 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th Conference on the Theory and Application of Cryptography, CRYPTO 1990
Country/TerritoryUnited States
CitySanta Barbara
Period11/08/9015/08/90

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1991.

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