Math 360- Applied Cryptography & Data Security Homework#3 Spring 2020 Due 2/24/2020 Please make sure you show your work: LLLLLLLLUT TUULLIT 1. Use the Vigenere cipher with encrypting key your first name to encrypt the message ELIZABETH CITY STATE UNIVERSITY. 2. Decrypt the ciphertext: WBRCS LAZGJ MGKMF V using Vigenere cipher with encrypting key SECRET. 3. Decrypt the ciphertext: FWTPN GZCWZ IQTME LYIMQ VA using Vigenere cipher with encrypting key TWAIN. 4. Decipher the following ciphertext using the Vigenere method with codeword BERTRAND: NEKAV MNWJG JBJOA OZXYX RRGRG WRRZN TWIITDEGK JRXBE DVIGI IXETJ RSHJ 5. Convert each of the following binary number to decimal: a) 1011001 b) 11110111001 c) 100.10001 6. Convert each of the following decimal number to binary number: a) 33 b) 1000 c) 1593 7. Decrypt the ciphertext: POGUSBWTAZPIX which is encrypted through Auto Key cipher by the Key: HOUSE 8. Encode and encrypt CIPHER with the following key stream: Key stream : 141592653589793238462643383280 9. a) Encode and decrypt EZGN with the following key stream Key stream: 02468975310246897531 b) Why is the key stream is a poor Key stream