Extra Credit 3

Due: November 6, 2024
Points: 30


Euler’s generalization of Fermat’s Little Theorem says that, for integers a and n such that a and n are relatively prime, aφ(n) mod n = 1. Use this to show mathematically that deciphering of an enciphered message produces the original message with the RSA cryptosystem. Does enciphering of a deciphered message produce the original message also?

Hint: You need to prove the case where m and n are relatively prime, and the case when they are not.


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Matt Bishop
Office: 2209 Watershed Sciences
Phone: +1 (530) 752-8060
Email: mabishop@ucdavis.edu
ECS 235A, Computer and Information Security
Version of October 24, 2024 at 11:21PM

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