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Results tagged with finite-fields
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user 126166
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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Solving cubic equations in characteristic 2
Let $K$, the field generated by the coefficients of $f$, have $t=2^n$ elements.
If $p=q=0$, $f$ has a triple root. If $q$ is not $0$, then $f$ is separable. Assume $q$ not $0$.
If $p=0$ and n odd, the …
