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Exercise 6 (2 pts). In an RSA cryptosystem, Alice wants to send Bob a text consisting of several English letters. She uses the following method.

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Exercise 6 (2 pts). In an RSA cryptosystem, Alice wants to send Bob a text consisting of several English letters. She uses the following method. First, she replaces each letter by its number in the alphabet: the letters a, b,.,z are replaced with integers 1,2, ,26 respectively. Next, Alice encrypts each letter separately and sends the resulting sequence of ciphertexts to Bob. For example, if Bob's public keyis n, e) and Alice wants to send him the word "dog", she calculates 4 modn, 15e mod n, 7 mod n, and sends these numbers to Bob. Suppose that Eve intercepts all these messages from Alice to Bob. Explain how Eve can recover the text without factoring n

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