L1: Overview, OWFs, PRGs, Hardcore bits

Topics

• Logistics & Course Overview
• Relationship between symmetric primitives: from OWFs to PRGs, using Hardcore bits.

Readings

• Probability cheat-sheet
• Goldreich & Levin’s paper

Notes

We completed until page 13 of the notes. We stopped after we proved $g(x) = x_1 || f(x)$ is a one-way function (but not necessarily a PRG). We will introduce Hard-core Bits and construct a PRG with 1-bit stretch in the beginning of next class!

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