Using hard problems to create pseudorandom generators
著者
書誌事項
Using hard problems to create pseudorandom generators
（ACM distinguished dissertations）
MIT Press, c1992
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注記
Revision of the author's thesis (Ph. D.)--University of California, Berkeley, 1988
Includes bibliographical references (p. [41]-43)
内容説明・目次
内容説明
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 an 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.
目次
- Hardness vs. randomness
- pseudorandom generators for logspace and multiparty protocols.
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