USC EE 105 Introductionto Electrical Engineering Encryption and Decryption: Example 17 Message: Encrypt I AM GLAD Rs V E R Decrypt C CLASS IS WR OVER YEA E A A Code 3R(ow)-4C(olumn) Read In (R); Send Out(W) LSYMWAOEGHSVA M G | L | A D Encrypt: NIC Sent: Decrypt: Read in (W); Send Out(R)LESEIANIRADC (a) You wish to encode the phrase "USCBEATSTANFORDUNIVERSITY", since the Trojans play Stanford on Saturday the 8th of September in Palo Alto, using the above matrix method. Choose an appropriately sized grid, choose a code, and encode your text. (Hint: You can, of course, add extra letters to the beginning or ending of the phrase to make your matrix grid a certain size. If you do so, discuss the implications for someone who wants to intercept your message.) (b) Given your choice of matrix, calculate the average number of trials that a code breaker would likely have to go through to decrypt your message using a single code. (c) Given your choice of matrix, and given two codes, one specifying the starting point for writing, and another one specifying the starting point for reading, calculate the average number of trials that a code breaker would likely have to go through to decrypt your message. (d) Imagine that we choose to use this method to encode a set of English language sentences. What is the fundamental flaw in this encoding strategy that might allow others to easily decode our secret messages