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Results tagged with finite-fields
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user 68778
A finite field is a field with a finite number of elements. For each prime power $q^k$, there is a unique (up to isomorphism) finite field with $q^k$ elements. Up to isomorphism, these are the only finite fields.
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How large can the dimension of a 'Span of powers of a finite field basis' be?
Let $\mathbb{F}$ be a finite field and $\mathbb{E}$ be an extension of a prime degree (say $q$). Let $d$ be co-prime to $|\mathbb{F}|^q-1$.
$\langle\beta_1^d,...,\beta_q^d\rangle$ is a $\mathbb{F}$-su …
