Alice wants to send to all her friends, including Bob, a message using the RSA cryptosystem. She chooses secret primes p= 17, q = 29 and computes n = pq. (a) In how many ways can Alice choose an...


Alice wants to send to all her friends, including Bob, a message using the RSA<br>cryptosystem. She chooses secret primes p= 17, q = 29 and computes n = pq.<br>(a) In how many ways can Alice choose an encryption key (n, e) with 1 < e <<br>(p- 1)(q- 1)?<br>(b) What is the smallest such e > 1 that Alice can choose? What is the correspond-<br>ing decryption key d?<br>

Extracted text: Alice wants to send to all her friends, including Bob, a message using the RSA cryptosystem. She chooses secret primes p= 17, q = 29 and computes n = pq. (a) In how many ways can Alice choose an encryption key (n, e) with 1 < e="">< (p-="" 1)(q-="" 1)?="" (b)="" what="" is="" the="" smallest="" such="" e=""> 1 that Alice can choose? What is the correspond- ing decryption key d?

Jun 11, 2022
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