Table 2 Construction parameters of the composite fields \(\mathbb {F}_{(2^8)^2}\)
Composite field | The structure of the composite field | Irreducible polynomial |
|---|---|---|
\(\mathbb {F}_{2^8}\) | \(\mathbb {F}_{2}[x]/T2(x)\) | \(x^{8} + x^{7} + x^{4} + x^{3} + x^{2} + x + 1\) |
\(\mathbb {F}_{(2^8)^2}\) | \(\mathbb {F}_{2^8}[x]/T3(x)\) | \(x^{2} + 00000001x + 00000010\) |