$GF(32)$ is

a prime field

an extension field

a finite ring

the basis for the DES encryption algorithm

none of the above

Q$2.$ In GF$(7),$ take the multiplicative identity of $6$& multiply it by the multiplicative identity of $3,$ you get:

a$)20$

b$)30$

c$)$ the polynomial $x+1$

d$)15$

e$)$ the polynomial $x****+x****4$

f$)$ none of the above

Q$3.$ What is $(x^7+x^3+x^2+x)**(x^4+1)?$

the irreducible divisor polynomial is: $x^8+x^4+x^3+x+1$

$24.$ Show the polynomial version of the character $\text{'}$:$\text{'}($colon$)$: