Recall that an affine cipher, fa,b(n) = an + b( mod 26), where a, b ∈ {0, 1, 2, . . . , 25}, is said to be valid if gcd(a, 26) = 1. (a)Use the key (a, b) = (3, 0) to come up with the cipher text corresponding to the following plaintext DO WELL. (b)Now use the key (a, b) = (6, 3) to generate multiple (at least two) cipher texts corresponding to the same message DO WELL.
Recall that an affine cipher, fa,b(n) = an + b( mod 26), where a, b ∈ {0, 1, 2, . . . , 25}, is said to be valid if gcd(a, 26) = 1. (a)Use the key (a, b) = (3, 0) to come up with the cipher text corresponding to the following plaintext DO WELL. (b)Now use the key (a, b) = (6, 3) to generate multiple (at least two) cipher texts corresponding to the same message DO WELL.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.8: Introduction To Cryptography (optional)
Problem 6E
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Recall that an affine cipher, fa,b(n) = an + b( mod 26), where a, b ∈ {0, 1, 2, . . . , 25}, is said to be valid if gcd(a, 26) = 1.
(a)Use the key (a, b) = (3, 0) to come up with the cipher text corresponding to the following plaintext DO WELL.
(b)Now use the key (a, b) = (6, 3) to generate multiple (at least two) cipher texts corresponding to the same message DO WELL.
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