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Suppose Michael creates an RSA cryptosystem with a very large mod-ulus n for which the
factorization of n cannot be found in a reasonable amount of time. Suppose that Nikita sends
messages to Michael by representing each alphabetic character as an integer between 0 and 26
(A corresponds to 1, B to 2, etc., and a space to 0), then encrypts each number separately using
Michael's RSA cryptosystem. Is this method secure? Explain your answer.
Solution
This method is not secure, it is just equal to a "Ceaser Cipher", that is a permutation of letters of
alphabet, which is well-known to be easily broken using a frequency analysis.

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Suppose Michael creates an RSA cryptosystem with a very large mod­ulu.pdf

  • 1. Suppose Michael creates an RSA cryptosystem with a very large mod-ulus n for which the factorization of n cannot be found in a reasonable amount of time. Suppose that Nikita sends messages to Michael by representing each alphabetic character as an integer between 0 and 26 (A corresponds to 1, B to 2, etc., and a space to 0), then encrypts each number separately using Michael's RSA cryptosystem. Is this method secure? Explain your answer. Solution This method is not secure, it is just equal to a "Ceaser Cipher", that is a permutation of letters of alphabet, which is well-known to be easily broken using a frequency analysis.