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Nearly Optimal Pseudorandomness From Hardness

IEEE via YouTube

Overview

This course covers the learning outcomes and goals of understanding nearly optimal pseudorandomness from hardness. It teaches the skills of derandomization, pseudorandom generators, pseudoentropy, and extracting from pseudoentropy. The teaching method includes lectures on topics such as randomized vs. deterministic time, codes with a large alphabet, and locally list recoverable codes. The intended audience for this course is individuals interested in theoretical computer science, cryptography, and complexity theory.

Syllabus

Intro
Introduction: Derandomization
Randomized vs. Deterministic Time Example
General Approach to Derandomization: Pseudorandom Generators
Parameter Overview
Jumping Off Point: STV01
1-Bit Stretch
New Approach: Codes with Large Alphabet
A Notion of Pseudoentropy
Definition of Locally List Recoverable Codes
Pseudoentropy from LLRC
Extracting from Pseudoentropy
Conclusion
Open Questions

Taught by

IEEE FOCS: Foundations of Computer Science

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