Create a Mathematica notebook that solves and discusses the solution. Create a general encryption and decryption functions for the hill cipher.

Please using Mathematica! Thank you!

1.29 We describe a stream cipher that is a modification of the Vigenre Cipher. Given a keyword (K. . . . , Krn) of length m, construct a keystream by the rule si = Ki (I 1). In other words, each time we use the keyword, we replace each letter by its successor modulo 26. For example, if SUMMER is the keyword, we use SUMMER to encrypt the first six letters, we use TVNNFS for the next six letters, and so on. (a) Describe how you can use the concept of index of coincidence to first deter- mine the length of the keyword, and then actually find the keyword. (b) Test your method by cryptanalyzing the following ciphertext: IYMYSILONRFNCOXQJEDSHBUIBCJUZBOLFOYSCHATPEQGQ JEJNGNXZWHHGWFSUKULJQACZKKJOAAHGKEMTAFGMKVRDO PXNEHEKZNKFSKI FRQVHHOVXINPHMRTJPYWQGJWPUUVKFP OAWPMRKKQZWLQDYAZDRMLPBJKJOBWIWPSEPVVOMBCRYVC RUZAAOUMBCHDAGDIEMSZFZHALIGKEMJJFPCIWKRMLMPIN AYOFIREAOLDTHTDVRMSE The plaintext was taken from The Codebreakers," by D. Kahn, Scribner, 1996