Question: Prove that if $F : { 0 , 1 } ^ n rightarrow { 0 , 1 } ^ n$

Prove that if $F : \{0,1\}^n \rightarrow \{0,1\}^n$ is a length-preserving pseudorandom function, then $G(s)= F_s(1)\| F_s(2)\|\ldots \| F_s(\ell)$ is a pseudorandom generator with expansion factor $\ell \cdot n$.

Step by Step Solution

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 Databases Questions!

Q:

Hi there, I had a problem solving the following linear programming exercise, and would appreciate your help. Thanks! We are given two positive numbers n and d and a function f : {0, 1, n) R. Our goal...

Q:

Please help me get started on this problem. 5. (30 points) One important application of spline interpolation is the construction of smooth curves that are not necessarily the graph of a function but...

Q:

please answer (b) Recall that we say a graph G (V, E) is (fully) connected if and only if for every pair of vertices u, v elementof V, u and v are connected in G. Also recall (from Problem Session...

Q:

In this question, we will prove the following version of the pigeonhole principle: For all n greaterthanorequalto 2, if f: {1, ..., n} rightarrow {1, ..., n - 1} is a function, then f is not...

Q:

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

PLS HELP THE QUESTIONS R IN THE PICTURES Healing Hand (Perf x ] & Course Activity: AA X 5 GeoGebra Activity - X G Draw a line that pa X Course Hero X GeoGebra Activity - X G how to know the ar X + X...

Q:

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Q:

# 5: Fourier Interpolant and DFT 1 The Discrete Fourier Transform (DFT) of a periodic array fj , for j = 0, 1, . . . , N 1 (corresponding to data at equally spaced points, starting at the left end...

Q:

PLS HELP ALL PROBLEMS R IN THE PICTURES Healing Hand (Perfect H x | @ Course Activity: AA, SAS, X 5 GeoGebra Activity - GeoG X Homework Help - Q&A fr x (6) "Praise Is What I Do' x Profile Page -...

Q:

(7) Let f be a polynomial in k[x] and let f = fit...for be the unique decomposition of f into pairwise coprime irreducible fac- tors fi...., fr. Let A = k[x]/(f). (a) Find the maximal ideals of A....

Q:

Analyze fromms basic needs rank the needs from most important to least important write a paper that include responses to the following questions: why do you think certain needs must be met above...

Q:

4. The sensitivity of an accelerometer has the following units: (A) PC m/s PC S (B) pc m/s 5. A negative dB value means: (A) the amplitude is negative. (C) the amplitude is decreasing (C) (D) PC m...

Q:

You expect to have $ x in 2 2 months. You plan to make savings contributions of $ 3 , 2 1 0 per month for 2 2 months. The expected return is 1 . 3 3 percent per month and the first regular savings...

Q:

5. Develop a scenario comparing two PH programs and involving the use of a CBA.

Q:

Explain why the following paragraph would be ineffective as the opening paragraph of a letter to Dawn trying to persuade her to take on the reponsibility of membership committee chair for the...

Q:

Write a persuasive article for your school newspaper convincing students to participate in the upcoming election of officers for the Associated Student Government. Provide appropriate details in the...

Q:

What organizational plan is most effective for persuasive messages? What are the four basic elements of this plan? (Objective 3)