RSA Algorithm Example (2024)

RSA Algorithm Example

  • Choose p = 3 and q = 11
  • Compute n = p * q = 3 * 11 = 33
  • Compute φ(n) = (p - 1) * (q - 1) = 2 * 10 = 20
  • Choose e such that 1 < e < φ(n) and e and φ (n) are coprime. Let e = 7
  • Compute a value for d such that (d * e) % φ(n) = 1. One solution is d = 3 [(3 * 7) % 20 = 1]
  • Public key is (e, n) => (7, 33)
  • Private key is (d, n) => (3, 33)
  • The encryption of m = 2 is c = 27 % 33 = 29
  • The decryption of c = 29 is m = 293 % 33 = 2
RSA Algorithm Example (2024)
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