A Concrete Introduction to Higher Algebra, 2nd Edition

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
University of California — Berkeley Handout CS276: Cryptography March 15, 2002 Professors Luca Trevisan and David Wagner Midterm This midterm is due at the start of class on Tuesday, March 19th. When you are asked to prove or disprove a statement S , you actually have three options: you may show that S is unconditionally true; you may show that S is unconditionally false; or, you may show that S is conditionally true under some standard assumption (e.g., that one-way functions exist) and false otherwise. For each problem, be sure to state clearly and precisely what result you are going to prove before proving it. You do not need to re-prove anything covered in class. This exam is “open-notes” (you may use anything in your notes or the online scribe notes) but “closed-book” (you may not use any textbook or other source). Problem 1. [Injective Pseudorandom Generators] We want to show that pseudorandom generators may or may not be 1-1 functions. (a) Assuming the existence of one-way permutations of superpolynomial security, prove the existence of a pseudorandom generator G : { 0 , 1 } n → { 0 , 1 } n +1 of superpolynomial security with the additional property that G is a 1-1 function.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern