3. Suppose you find the following sequence of numbers on a scrap of paper in the

Question

3. Suppose you find the following sequence of numbers on a scrap of paper in the library. 25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22 You do not know the encoding or decoding function, but the back of the piece of paper says that the encoding and decoding functions are linear and have 1 as the coefficient of x. You also know this message consists of 6 words. Using the encoding system described above, a. How would you decode the message? Explain your strategy in complete sentences. b. Identify the decoding function. c. What is the message?

Explanation / Answer

(a)

Since the message has 6 words as mentioned, the number which is repeated 6 times will be the space . Here, we can see that the number representing space will be 41. Subtract from the number 27 (total number of 26 alphabets A-Z and 27 represents the space)

Subtract these numbers, we get

41-27=14

Subtract 14 from each number given, and we will get another number.

Write down the alphabet from A-Z corresponding to the resulting numbers. We will get the message

(b)

Decoding function

y = x-14

where x is the given number and y is the resulting number.

(c)

The resulting numbers will be

11 5 5 16 27 3 1 12 13 27 1 14 4 27 4 15 27 20 8 5 27 13 1 20 8

Writ down the corresponding alphabet to get the message

K E E P C A L M A N D D O T H E M A T H.

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