Suppose the streaming service is using the ElGamal Public$-$Key Cryptography Algorithm.

With a proper description, demonstrate the detailed steps of key generation, secret code S

generation $($i$.$e$.,$ encryption process$),$ and generation of U$\text{'}($i$.$e$.,$ decryption process$).$ Use

parameters: p $=9347529,$ g $=5678,$ and x $=4321.$

i$.$ Show detailed steps to compute your public$-$key and private$-$key.

ii$.$ The streaming service chooses a random number r $=12345.$ How would the

streaming service encrypt user ID U $=$ to

produce the secret code S$?$

iii. How would the streaming service decrypt S to produce U$\text{'}?$