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Results tagged with finite-fields
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user 109065
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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The number of values of $f(x)/x$ when $f$ is a linearized polynomial
Consider an $\mathbb{F}_q$-linear map $f:\mathbb{F}_{q^n}\to \mathbb{F}_{q^n}$ (so $f$ is a linearized polynomial). Suppose also that $f$ is not $\mathbb{F}_{q^i}$-linear, where $i>1$.
My question i …
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