Use the alphabet
Exercise 7: Suppose the alphabet consists of
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Elements Of Modern Algebra
- Suppose the alphabet consists of a through z, in natural order, followed by a blank and then the digits 0 through 9, in natural order. Associate these "letters" with the numbers 0,1,2,...,36, respectively, thus forming a 37-letter alphabet, D. Use the affine cipher to decipher the message X01916R916546M9CN1L6B1LL6X0RZ6UII if you know that the plaintext message begins with "t" followed by "h". Write out the affine mapping f and its inverse.arrow_forwardSuppose that in a long ciphertext message the letter occurred most frequently, followed in frequency by. Using the fact that in the -letter alphabet, described in Example, "blank" occurs most frequently, followed in frequency by, read the portion of the message enciphered using an affine mapping on. Write out the affine mapping and its inverse. Example 2 Translation Cipher Associate the letters of the "alphabet" with the integers. Let and define the mapping by where is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of through, in natural order, followed by a blank, then we have "letters" that we associate with the integers as follows:arrow_forwardSuppose that in a long ciphertext message the letter occurred most frequently, followed in frequency by. Using the fact that in the -letter alphabet, described in Example, occurs most frequently, followed in frequency by, read the portion of the message enciphered using an affine mapping on. Write out the affine mapping and its inverse.arrow_forward
- Solve the recurrence relation with the given initial conditions. b0=0, b1=2, bn=2bn-1- 2bn-2 for n>=2arrow_forwardFind the values of w,x,y and z in fraction form using a)gauss elimination, b) gauss-jordan elimination and c) Cramers rule 8w-5x+ 9z +2y = 5 2x+3z+2y=3 7z-6w-8x+4y=3 w+5x+2z=1arrow_forwardDecrypt the message "XMJQYJWNSUQFHJ" which was encrypted with a Caesar cipher with a shift of 5 (A to F). Give your response in all caps with no spaces.arrow_forward
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