Let G K {0, 1}n be a secure PRG. (a) Define G' (k1, k2, k3) = (G(k1) (b) Define G' (k1, k2, k3) = G(K1) G(K2)) @ G(K3). (G(k2) G(K3)). Consider the following statistical test A on {0, 1}n: A(x) outputs LSB(x), the least significant bit of x. What is AdvP RG[A, G'] for each case? You may assume that LSB (G(k)) is for exactly half the seeds k in K. Note that represents the bitwise AND operation.

Let G K {0, 1}n be a secure PRG. (a) Define G' (k1, k2, k3) = (G(k1) (b) Define G' (k1, k2, k3) = G(K1) G(K2)) @ G(K3). (G(k2) G(K3)). Consider the following statistical test A on {0, 1}n: A(x) outputs LSB(x), the least significant bit of x. What is AdvP RG[A, G'] for each case? You may assume that LSB (G(k)) is for exactly half the seeds k in K. Note that represents the bitwise AND operation.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Let G K {0, 1}n be a secure PRG.
(a) Define G' (k1, k2, k3) = (G(K1) ^ G(K2)) @ G(k3).
(b) Define G' (k1, k2, k3) = G(k1) ^ (G(k2) G(k3)).
Consider the following statistical test A on {0, 1}n: A(x) outputs LSB(x), the least significant bit of x.
What is AdvP RG[A, G'] for each case? You may assume that LSB (G(k)) is 0 for exactly half the seeds k in K. Note that represents the bitwise AND operation.

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