Table 1 \(\mathbb {F}_{(2^{(n/2)})^2}\) construction parameters
Composite field | Composite field | Irreducible polynomial |
|---|---|---|
\(\mathbb {F}_{2^{(n/2)}}\) | \(\mathbb {F}_{2}[x]/T2(x)\) | T2(x) |
\(\mathbb {F}_{(2^{(n/2)})^2}\) | \(\mathbb {F}_{2^{(n/2)}}[x]/T3(x)\) | \(\begin{array}{cc} T3(x)=x^2+\alpha x+\beta \\ \alpha , \beta \in {\mathbb {F}_{2^{(n/2)}}} \end{array}\) |