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Suppose Alice and Bob have the same RSA modulus n and suppose that their encryption exponents eд and eв are relatively prime. Charles wants to send the message to Alice and Bob, so he encrypts to get yA = A (mod n) and BB (mod n). Show how Eve can find the plaintext æ if she intercepts yA and YB.

Suppose Alice and Bob have the same RSA modulus n and suppose that their encryption exponents eд and eв are relatively prime. Charles wants to send the message to Alice and Bob, so he encrypts to get yA = A (mod n) and BB (mod n). Show how Eve can find the plaintext æ if she intercepts yA and YB.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose Alice and Bob

8. Suppose Alice and Bob have the same RSA modulus n and suppose that their encryption exponents eд and eß are relatively prime. Charles wants to send the message x to Alice and Bob, so he encrypts to get yA = xºA (mod n) and YB = xв (mod n). Show how Eve can find the plaintext x if she intercepts yA and yв.
Transcribed Image Text:8. Suppose Alice and Bob have the same RSA modulus n and suppose that their encryption exponents eд and eß are relatively prime. Charles wants to send the message x to Alice and Bob, so he encrypts to get yA = xºA (mod n) and YB = xв (mod n). Show how Eve can find the plaintext x if she intercepts yA and yв.
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