(a) Chad and Gabriel are writing the solutions to Homework 11. Chad has the solutions saved on his laptop and wishes to send them to Gabriel in secret (to ensure that no one can see them before the homework is due). In order to do this, they are going to conduct a Diffie-Hellman protocol using the "large" prime p 23 and generator g 5 for Zp (meaning that operations are done in Z23). If Chad privately picks a - 10 and Gabriel privately picks b = 17, what values are sent between them and what is Chad and Gabriels's shared key k? (b) Prof. Volkovich is requesting exam questions from the EECS 376 course staff. To ensure that the questions are transmitted securely, he has set up an RSA scheme with public key n 65, e 5. If your favorite EECS 376 IA wishes to propose the exam question encoded as m 29, what is the ciphertext c that he/she should send to Prof. Volkovich? Run through the decryption procedure with the value of c you obtained, and verify that you indeed get back the original message m. (c) Compute 5376376 mod 21. (Please do not attempt to brute-force the computation.) (a) Chad and Gabriel are writing the solutions to Homework 11. Chad has the solutions saved on his laptop and wishes to send them to Gabriel in secret (to ensure that no one can see them before the homework is due). In order to do this, they are going to conduct a Diffie-Hellman protocol using the "large" prime p 23 and generator g 5 for Zp (meaning that operations are done in Z23). If Chad privately picks a - 10 and Gabriel privately picks b = 17, what values are sent between them and what is Chad and Gabriels's shared key k? (b) Prof. Volkovich is requesting exam questions from the EECS 376 course staff. To ensure that the questions are transmitted securely, he has set up an RSA scheme with public key n 65, e 5. If your favorite EECS 376 IA wishes to propose the exam question encoded as m 29, what is the ciphertext c that he/she should send to Prof. Volkovich? Run through the decryption procedure with the value of c you obtained, and verify that you indeed get back the original message m. (c) Compute 5376376 mod 21. (Please do not attempt to brute-force the computation.)