Review the attached question and solution $($all attached solutions are correct$).$ Provide detailed explanations for each step in the solutions and explain how they were completed

$4.$ Diffie$-$Hellman key exchange protocol, $\{p=23,g=5\}.$ A sends B the value $10.$ B sends A the value $18.$What is the shared secret key? Solution: $(4)$ Diffe$-$Hellman key exchange protocol $\{p=23,g=5\}.$

A sends $B$ the value $10.B$ sends A the value is

What is the secet ky$?$

$p=23,g=5$

$AB,10,g^a$modp

$BA18*g^b$modp

$5^a$mod$23=10$

Try different values:

$5^0$mod$23=1$

$5^{\text{'}}$mod$23=5$

$5^2$mod$23=2$

$5^3$mod$23=10,a=3$

$S=g^{ab}$modp

$S=(g^b{)}^a$modp

$S={18}^3$mod$23$

$S=13$