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Simplifying Armoni's PRG

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

Abstract

We propose a simple variant of the INW pseudo-random generator, where blocks have varying lengths, and prove it gives the same parameters as the more complicated construction of Armoni's PRG. This shows there is no need for the specialized PRGs of Nisan and Zuckerman and Armoni, and they can be obtained as simple variants of INW. For the construction to work we need space-efficient extractors with tiny entropy loss. We use the extractors from [2] instead of [6] taking advantage of the very high min-entropy regime we work with. We remark that using these extractors has the additional benefit of making the dependence on the branching program alphabet ∑ correct.

Original languageEnglish
Title of host publicationApproximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, APPROX/RANDOM 2025
EditorsAlina Ene, Eshan Chattopadhyay
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959773973
DOIs
StatePublished - 15 Sep 2025
Event28th International Conference on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2025 and the 29th International Conference on Randomization and Computation, RANDOM 2025 - Berkeley, United States
Duration: 11 Aug 202513 Aug 2025

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume353
ISSN (Print)1868-8969

Conference

Conference28th International Conference on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2025 and the 29th International Conference on Randomization and Computation, RANDOM 2025
Country/TerritoryUnited States
CityBerkeley
Period11/08/2513/08/25

Keywords

  • PRG
  • ROBP
  • armoni
  • derandomization
  • psuedorandom
  • random
  • read-once

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