Using RSA encryption/decryption, let p = 5 and q = 11. Then n = 55 and w(n) = 4 # 10 =

Chapter 5, Problem 27

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Using RSA encryption/decryption, let p = 5 and q = 11. Then n = 55 and w(n) = 4 # 10 = 40. Pick e = 7. a. Use the Euclidean algorithm to find the value of d. (Hint: If the Euclidean algorithm produces an equation 1 = x # e + f # w(n)where the value of x is negative, add and subtract the product e # w(n) to the right side of the equation to get a positive value for d.) b. Encode T = 12 using the public key (n, e). c. Decode your answer to part (b) to retrieve the 12.

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