(a) A linear cipher is defined by the congruence C = a P + b (mod 26), where a and b
Chapter 10, Problem 3(choose chapter or problem)
(a) A linear cipher is defined by the congruence C = a P + b (mod 26), where a and b areintegers with gcd(a, 26) = 1. Show that the corresponding decrypting congruence isP = a'(C - b) (mod 26), where the integer a' satisfies aa' = 1 (mod26).(b) Using the linear cipher C = 5P + 11 (mod 26), encrypt the message NUMBERTHEORY IS EASY.(c) Decrypt the message RXQTGU HOZTKGH FJ KTMMTG, which was produced usingthe linear cipher C = 3P + 7 (mod 26)
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