Maurice Tutor

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Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 399 Weeks Ago
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 19 Jul 2017 My Price 3.00

Alice and Bob

Alice has a copy of a long n-bit file A = ?an-1, an-2,..., a0?, and Bob similarly has an n-bit file B = ?bn-1, bn-2,...,b0?. Alice and Bob wish to know if their files are identical. To avoid transmitting all of A or B, they use the following fast probabilistic check. Together, they select a prime q > 1000n and randomly select an integer x from {0, 1,...,q - 1}. Then, Alice evaluates and Bob similarly evaluates B(x). Prove that if A ≠ B, there is at most one chance in 1000 that A(x) = B(x), whereas if the two files are the same, A(x) is necessarily the same as B(x). (Hint: See Exercise 31.4-4.)

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Maurice Tutor
(5)
Status NEW Posted 19 Jul 2017 11:07 AM My Price 3.00

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