2. (PRGS) Let G : {0, 1}" → {0, 1}2 be a PRG and let H: {0,1}²n → {0, 1}" be a collision resistant hash function. Argue whether each of the following candidates is or is not a secure PRG.| def (a) G'(x) G(H(x||x)) def (b) G"(x)H(G(x))||H(G(x)) def (c) G" (x)G(x)||H(G(x))

2. (PRGS) Let G : {0, 1}" → {0, 1}2 be a PRG and let H: {0,1}²n → {0, 1}" be a collision resistant hash function. Argue whether each of the following candidates is or is not a secure PRG.| def (a) G'(x) G(H(x||x)) def (b) G"(x)H(G(x))||H(G(x)) def (c) G" (x)G(x)||H(G(x))

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 29EQ

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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.

Very very grateful!

2. (PRGS) Let G : {0, 1}" → {0, 1}2 be a PRG and let H: {0,1}²n → {0, 1}" be a
collision resistant hash function. Argue whether each of the following candidates
is or is not a secure PRG.|
def
(a) G'(x) G(H(x||x))
def
(b) G"(x)H(G(x))||H(G(x))
def
(c) G" (x)G(x)||H(G(x))

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