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A primer on pseudorandom generators

Author: Oded Goldreich
Publisher: Providence, R.I. : American Mathematical Society, ©2010.
Series: University lecture series (Providence, R.I.), 55.
Edition/Format:   Print book : EnglishView all editions and formats
A fresh look at the question of randomness was taken in the theory of computing: A distribution is pseudorandom if it cannot be distinguished from the uniform distribution by any efficient procedure. This paradigm, originally associating efficient procedures with polynomial-time algorithms, has been applied with respect to a variety of natural classes of distinguishing procedures. The resulting theory of
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Document Type: Book
All Authors / Contributors: Oded Goldreich
ISBN: 9780821851920 0821851926
OCLC Number: 615339073
Description: x, 114 p. : ill. ; 26 cm.
Contents: Third Theory of Randomness Organization of the Primer Standard Conventions General Paradigm Three fundamental aspects Notational conventions Some instatiations of the general paradigm General-Purpose Pseudorandom Generators Basic Definition Archetypical Application Computational Indistinguishability general formulation Relation to statistical closeness Indistinguishability by Multiple samples Amplifying the Stretch Function Background: one-way functions simple construction alternative presentation necessary and sufficient condition Non-uniformly Strong Pseudorandom Generators Stronger (Uniform-complexity) Notions Fooling stronger distinguishers Pseudorandom functions Conceptual Reflections Derandomization of Time-Complexity Classes Defining Canonical Derandomizers Constructing Canonical Derandomizers construction and its consequences Analyzing the construction Construction 3.4 as a general framework Reflections Regarding Derandomization Space-Bounded Distinguishers Definitional Issues Two Constructions Sketches of the proofs of Theorems 4.2 and 4.3 Derandomization of space-complexity classes Special Purpose Generators Pairwise Independence Generators taste of the applications Small-Bias Generators taste of the applications Random Walks on Expanders Background: expanders and random walks on them Hashing functions Leftover Hash Lemma On Randomness Extractors Generic Hard-Core Predicate Using Randomness in computation Simple Probabilistic Polynomial-Time Primality Test Testing Polynomial Identity Accidental Tourist Sees It All Cryptographic Applications of Pseudorandom functions Secret Communication Authenticated Communication Some Basic Complexity Classes
Series Title: University lecture series (Providence, R.I.), 55.
Responsibility: Oded Goldreich.


Surveys the theory of pseudorandomness, starting with the general paradigm, and discussing various incarnations while emphasizing the case of general-purpose pseudorandom generators. The primer  Read more...
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