Q$10\mathrm{.}15.$ It's "Cryptography & security" course. Please need a correct answer $\backslash (10\mathrm{.}15\backslash )$ This problem performs elliptic curve encryption$/$decryption using the scheme outlined in Section $10\mathrm{.}4.$ The cryptosystem parameters are $\backslash ($ E$\_\{11\}(1,7)\backslash )$ and $\backslash ($ G$=(3,2)\backslash ).$ B$\text{'}$s private key is $\backslash ($ n$\_\{$B$\}=7\backslash ).$ a$.$ Find B$\text{'}$s public key $\backslash ($ P$\_\{$B$^\{*\}\}\backslash ).$ b$.$ A wishes to encrypt the message $\backslash ($ P$\_\{$m$\}=(10,7)\backslash )$ and chooses the random value $\backslash ($ k$=5\backslash ).$ Determine the ciphertext $\backslash ($ C$\_\{$m$\}\backslash ).$ c$.$ Show the calculation by which B recovers $\backslash ($ P$\_\{$m$\}\backslash )$ from $\backslash ($ C$\_\{$m$\}\backslash ).$