In a public key system, the cipher text received is C = 10 if RSA encryption used with a public key(e = 11, n = 77) to deduce the plain text. Determine the value of ϕ(n)?(a) 49(b) 60(c) 123(d) 70I got this question at a job interview.My question is based upon Cryptography in portion Number Theory and Cryptography of Discrete Mathematics

In a public key system, the cipher text received is C = 10 if RSA encr

1.	In a public key system, the cipher text received is C = 10 if RSA encryption used with a public key(e = 11, n = 77) to deduce the plain text. Determine the value of ϕ(n)?(a) 49(b) 60(c) 123(d) 70I got this question at a job interview.My question is based upon Cryptography in portion Number Theory and Cryptography of Discrete Mathematics
Answer» The CORRECT answer is (B) 60 For explanation: GIVEN n = 77, that means P and q must be 7 and 11 that is they must be co-prime to each other. Now we know that ϕ(n) = (p – 1) (q – 1) ϕ(n) = (7 – 1) (11 – 1) ϕ(n) = 6*10 ϕ(n) = 60.

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