Dispersers, deterministic amplification, and weak random sources

Aviad Cohen*, Avi Wigderson

*Corresponding author for this work

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

114 Scopus citations

Abstract

The use of highly expanding bipartite multigraphs (called here dispersers) to reduce greatly the error of probabilistic algorithms at the cost of few additional random bits is treated. Explicit constructions of such graphs are generalized and used to obtain the following results: (1) The error probability of any RP (BPP) algorithm can be made exponentially small at the cost of only a constant factor increase in the number of random bits. (2) RP (BPP) algorithms with some weak bit fixing sources are simulated.

Original languageEnglish
Title of host publicationAnnual Symposium on Foundations of Computer Science (Proceedings)
PublisherPubl by IEEE
Pages14-19
Number of pages6
ISBN (Print)0818619821, 9780818619823
DOIs
StatePublished - 1989
Event30th Annual Symposium on Foundations of Computer Science - Research Triangle Park, NC, USA
Duration: 30 Oct 19891 Nov 1989

Publication series

NameAnnual Symposium on Foundations of Computer Science (Proceedings)
ISSN (Print)0272-5428

Conference

Conference30th Annual Symposium on Foundations of Computer Science
CityResearch Triangle Park, NC, USA
Period30/10/891/11/89

Fingerprint

Dive into the research topics of 'Dispersers, deterministic amplification, and weak random sources'. Together they form a unique fingerprint.

Cite this