# finite field GF(2^4) multiplication using normal basis

• December 16th 2009, 05:04 AM
classic_phohe
finite field GF(2^4) multiplication using normal basis
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:

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

and the respective field polynomial:

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

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