Cryptology (the creation and deciphering of codes) is

Chapter 9, Problem 9.5.25

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Cryptology (the creation and deciphering of codes) is based on 1-1 functions. After you code a message using a 1-1 function, the decoder needs the inverse function in order to retrieve the original message. The following table matches each letter of the alphabet with its coded numerical form. ABCDE FGH I J KLM 26 25 24 23 22 21 20 19 18 17 16 15 14 NO P Q R S T UVWXY Z 13 12 11 10 9 8 7 6 5 4 3 2 1 a. Does this code represent a 1-1 function? Is there an inverse function? If so, what is its domain? b. Decode the message 14 26 7 19 9 6 15 22 8.

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