8. (20 pts) a. RSA encryption. Let n = pq = (7)(17) = 119 and e...

8. (20 pts)

a. RSA encryption. Let n = pq = (7)(17) = 119 and e = 5 define a (very modest) RSA public key encryption. Since 25 < 119 < 2525, we can only encode one letter (two digit representation) at a time. Use the function ? = ? mod ? to encode the word MATHY into a series of five numbers that are less than n.

b. To decrypt an RSA encrypted message, we need to find d, the multiplicative inverse of e modulo (p-1)(q-1). Use Euclidian algorithm and two-pass method to determine the Bezout coefficient of e for the RSA in Part a. above. Then write down the decryption function.

A 0 B 1 C 2 D 3 E 4 F 5 G 6 H 7 I 8 J 9 K 10 L 11 M 12 N 13 O 14 P 15 Q 16 R 17 S 18 T 19 U 20 V 21 W 22 X 23 Y 24 Z 25

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Colby Messinger answered 1 year ago

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