sigfis message sends corresponding asoddns :(d (m,r,s) to Bob. Suppose Eve intercepts (m,r, s). Eve chooses h with god(h,p– 1) = 1 and assigns ri = rh mod p and si srih-r- mod p-1. (a) Show that the message m1 = mr¡r-1 has (m1,r1, $1) as a valid signature. (b) This method allows Eve to forge a signature on the message m1. Why should this not cause

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Alice uses EIGamal with (p, a, B). Suppose she signs the message m and sends the corresponding
(m, r, s) to Bob. Suppose Eve intercepts (m, r, s). Eve chooses h with ged(h, p – 1) = 1 and assigns
ri = rh mod p and s1 = srih-1r-1 mod p– 1.
(a) Show that the message m = mrir- has (m1,r1, $1) as a valid signature.
(b) This method allows Eve to forge a signature on the message m1. Why should this not cause
problems?
Transcribed Image Text:Alice uses EIGamal with (p, a, B). Suppose she signs the message m and sends the corresponding (m, r, s) to Bob. Suppose Eve intercepts (m, r, s). Eve chooses h with ged(h, p – 1) = 1 and assigns ri = rh mod p and s1 = srih-1r-1 mod p– 1. (a) Show that the message m = mrir- has (m1,r1, $1) as a valid signature. (b) This method allows Eve to forge a signature on the message m1. Why should this not cause problems?
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