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C++ programming. code needs to output sample The Affine cipher is a cryptographic method for encrypting text such that it becomes unreadable to a party
C++ programming. code needs to output sample
The Affine cipher is a cryptographic method for encrypting text such that it becomes unreadable to a party without access to the cryptographic key. The encryption and decryption operations are simple shifts of the alphabet letters in a cyclic fashion. Mathematically, for a key k-(a, 3), the encryption and decryption are defined as: Encryption: c-(a r B) mod 26, 1Sa 26 and 1SB 26 Decryption: x = a-1, (c-d) mod 26. Here, 1 is a multiplicative inverse of a in the group of integers modulo 26. To find the multiplicative inverse of one needs to find z such that a -1 mod 26 A simple way of finding the inverse of a is to consider all numbers from 1 to 25 and see which one satisfies equation To illustrate the use of the Affine cipher, consider the encryption of "defend the east wall of the castle" with key k = (, ) = (5,7). The first letter "d is mapped to number 3 (alphabet letters are numbered from 0 to 25). Inserting 3 to the encryption functions yields c 5 * 3 + 7 mod 26-22 mod 26-22 which corresponds to letter "w". Applying the same process for ever letter, the plaintext sentence is translated to "wbgbuw yqb bhty nhkk zg yqb rhtykb" . Now to decode, we first need to find the inverse of 5 modulo 26. Scanning every number from 1 to 25, we observe that 5-21 mod 26 so the inverse of 5 is 21. Using 21 for decrypting the first letter "" (or 22) becomes 21 (22-7) mod 263, which reverses back to letter "d NOTE: The modulo operation for negative numbers is different from the % arithmetic operator in C. Write a C program that decrypts a file named "encrypted.txt" and places the decryption output to a file called "de- crypted.txtA file encrypted with k (5,7) is provided with the assignment. You can use it to test your decryption function. You will know when you have succeeded because the text becomes readable. In your programStep by Step Solution
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