## Irreducible Trinomials for ECC

Hi,

Facing some problems here. Hope you guys can help me out,

Say I want to build an ECC of composite field $GF((((2^2)^2)^2)^{37})$ . In order to build this composite field I need 4 irreducible polynomials.

So I would like my first irreducible polynomial in format of :

$P(x) = x^{37} + x^t + 1$

so what are the possible value for $t$ for $P(x)$ trinomial to be irreducible?

Thank you very much!