An RSA cryptosystem has open parameters and trapdoor parameters $,$ where are primes and Determine how many numbers in that are possible values for where and are primes. Alice is signing a document using the ElGamal signature scheme. She is using $.$ She chooses for her private exponent. $($a$)$ What is Alices public key? $($b$)$ Demonstrate how Alice signs the document D $=10.$ Be specific. $($c$)$ How does Bob verify that Alice has signed the document?