In a public-key system using RSA, you intercept the ciphertext C=10, sent to a user whose public key is e=5, n=35. What is the plaintext M? In an RSA system, the public key of a given user is e=31, n=3599. What is the private key of this user? Hint: First use trial-and-error to determine p and q; then use the extended Euclidian algorithm to find the multiplicative inverse of 31 module φ(n).

1) To decrypt the ciphertext C in an RSA system using the public key (e, n), we need to calculate…

Answered: In a public-key system using RSA, you…

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter8: Data And Network Communication Technology

Section: Chapter Questions

Problem 41VE

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In a public-key system using RSA, you intercept the ciphertext C=10, sent to a user whose public key is e=5, n=35. What is the plaintext M?
In an RSA system, the public key of a given user is e=31, n=3599. What is the private key of this user?

Hint: First use trial-and-error to determine p and q; then use the extended Euclidian algorithm to find the multiplicative inverse of 31 module φ(n).

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