Consider the extension field $F_{q^n}$ as a vector space over $F_q$, find two linearly independent elements $\alpha_1$ and $\alpha_2$ in $F_{q^n}$, such that $\alpha_{i}\neq1$, for $i=1,2$, and : $$\alpha_1^2\alpha_2^8+\alpha_1^8\alpha_2^2+\alpha_1\alpha_2^8+\alpha_2\alpha_1^8+\alpha_1\alpha_2^2+\alpha_2\alpha_1^2=0$$
2026-03-30 23:11:14.1774912274
find an example for an equation in finite field
25 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in FINITE-FIELDS
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