Question: Let G be a PRG that stretches the input by two (i.e., G : {0,1} {0, 1}2n). Consider the following function F and show

Let G be a PRG that stretches the input by two (i.e., G : {0,1}  {0, 1}2n). Consider the following function F

Let G be a PRG that stretches the input by two (i.e., G : {0,1}" {0, 1}2n). Consider the following function F and show it is not a PRF. The function F takes an n bit key and a 2n bit input x and is defined as follows: F(x) = = x G(xLXRk) where are the left n bits of x and are the right n bits of x. Do this by constructing a distinguisher and computing P(DF(-) = 1) and P(D() = 1) and showing the difference between the two probabilities is large. f() is a random function.

Step by Step Solution

3.37 Rating (147 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!