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In RSA cryptosystem, Bob wants to encrypt a message “RDX” using the values of 1 to 26 for letters A to Z. He uses p = 11, q = 19 and d = 103 to generate his public and private keys. What will be the cipher text generated by applying RSA algorithm (Encrypt each character individually)?
  • a)
    345673
  • b)
    098273
  • c)
    230764
  • d)
    180424
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In RSA cryptosystem, Bob wants to encrypt a message “RDX” ...
p = 11
q = 19
ϕ(n)ϕ(n) = (p - 1)(q - 1) = 180
n = pq = 209
d e mod ϕ(n)ϕ(n) = 1
103 e mod 180 = 1
103 e = 180k + 1 …(k = 1,2,3,…)
e = 7
Ciphertext (C) = Mmod n
For ‘R’, M = 18
C = 187 mod 209
C = 9
For ‘D’, M = 04
C = 47 mod 209
C = 82
For ‘X’, M = 24
C = 247 mod 209
C = 73
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In RSA cryptosystem, Bob wants to encrypt a message “RDX” using the values of 1 to 26 for letters A to Z. He uses p = 11, q = 19 and d = 103 to generate his public and private keys. What will be the cipher text generated by applying RSA algorithm (Encrypt each character individually)?a)345673b)098273c)230764d)180424Correct answer is option 'B'. Can you explain this answer?
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