A list adversary for a function f : {0, 1}" → {0, 1} gets input y = {0, 1}, and outputs a list L = L(y) of a polynomial number of strings in {0,1}n. The success probability of a list adversary is Pr [x L(f(x))]. x+{0,1}n Prove that if f is a one-way function, then all PPT list adversaries have negligible success probability.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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A list adversary for a function f : {0,1}" → {0,1}' gets input y E {0, 1}', and outputs a
list L = L(y) of a polynomial number of strings in {0,1}". The success probability of a
list adversary is
Pr r E L(f(x))].
rt{0,1}n
Prove that if f is a one-way function, then all PPT list adversaries have negligible success
probability.
Transcribed Image Text:A list adversary for a function f : {0,1}" → {0,1}' gets input y E {0, 1}', and outputs a list L = L(y) of a polynomial number of strings in {0,1}". The success probability of a list adversary is Pr r E L(f(x))]. rt{0,1}n Prove that if f is a one-way function, then all PPT list adversaries have negligible success probability.
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