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書誌情報:Using hard problems to create pseudorandom generators
Noam Nisan
Cambridge, Mass. : MIT Press , c1992
1 online resource (vi, 43 p.)
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https://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6267312
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書誌詳細
刊年1992
G/SMDリモートファイル
形態1 online resource (vi, 43 p.)
シリーズ名ACM distinguished dissertations
注記Revision of the author's thesis (Ph. D.)--University of California, Berkeley, 1988
Includes bibliographical references (p. [41]-43)
Restricted to subscribers or individual electronic text purchasers
Randomization is an important tool in the design of algorithms, and the ability of randomization to provide enhanced power is a major research topic in complexity theory. Noam Nisan continues the investigation into the power of randomization and the relationships between randomized and deterministic complexity classes by pursuing the idea of emulating randomness, or pseudorandom generation.Pseudorandom generators reduce the number of random bits required by randomized algorithms, enable the construction of certain cryptographic protocols, and shed light on the difficulty of simulating randomized algorithms by deterministic ones. The research described here deals with two methods of constructing pseudorandom generators from hard problems and demonstrates some surprising connections between pseudorandom generators and seemingly unrelated topics such as multiparty communication complexity and random oracles.Nisan first establishes a precise connection between computational complexity and pseudorandom number generation, revealing that efficient deterministic simulation of randomized algorithms is possible under much weaker assumptions than was previously known, and bringing to light new consequences concerning the power of random oracles. Using a remarkable argument based on multiparty communication complexity, Nisan then constructs a generator that is good against all tests computable in logarithmic space. A consequence of this result is a new construction of universal traversal sequences.Noam Nisan is Lecturer in the Department of Computer Science at Hebrew University in Jerusalem. He received his doctoral degree from the University of California, Berkeley.Contents: Introduction. Hardness vs. Randomness. Pseudorandom Generators for Logspace and Multiparty Protocols
Also available in print
Mode of access: World Wide Web
Description based on PDF viewed 12/23/2015
URL:https://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6267312(Abstract with links to resource)
出版国アメリカ合衆国
標題言語英語
本文言語英語
著者情報Nisan, Noam
ISBN9780262256728(: electronic bk)
無効/取消ISBN9780262640527(: electronic bk)
件名LCSH:Randomnumbergenerators
LCSH:Computationalcomplexity
NCID6267312
IDENThttps://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6267312

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