Hi, help needed in solving finite field multiplication specifically for normal basis representation and in the field of GF(2^4)

say I have two elements:

$\displaystyle (\Gamma_1) Z^4 + (\Gamma_0)Z$ and $\displaystyle (\Delta_1) Z^4 + (\Delta_0)Z$

and the respective field polynomial:

$\displaystyle r(y) = y^2 + {10}_2 y + 1$

how do I perform multiplication of the two elements???

please help thank you very much in advance!