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portada Paradigms for Unconditional Pseudorandom Generators
Type
Physical Book
Publisher
Language
Inglés
Pages
222
Format
Paperback
Dimensions
23.4 x 15.6 x 1.2 cm
Weight
0.32 kg.
ISBN13
9781638283348

Paradigms for Unconditional Pseudorandom Generators

Pooya Hatami (Author) · William Hoza (Author) · Now Publishers · Paperback

Paradigms for Unconditional Pseudorandom Generators - Hatami, Pooya ; Hoza, William

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Synopsis "Paradigms for Unconditional Pseudorandom Generators"

In this comprehensive survey of unconditional pseudorandom generators (PRGs), the authors present the reader with an intuitive introduction to some of the most important frameworks and techniques for constructing unconditional PRGs for restricted models of computation. The authors discuss four major paradigms for designing PRGs: several PRGs based on k-wise uniform generators, small-bias generators, and simple combinations thereof, several PRGs based on "recycling" random bits to take advantage of communication Bottlenecks, connections between PRGs and computational hardness, and PRG frameworks based on random restrictions. The authors explain how to use these paradigms to construct PRGs that work unconditionally, with no unproven mathematical assumptions. The PRG constructions use ingredients such as finite field arithmetic, expander graphs, and randomness extractors. The analyses use techniques such as Fourier analysis, sandwiching approximators, and simplification-under-restrictions lemmas. Paradigms for Unconditional Pseudorandom Generators offers the reader a grounding in an important topic widely used in theoretical computer science and cryptography.

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