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Results tagged with finite-fields
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user 99545
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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Image of a polynomial function $x^2+y^2-x+y-axy$ over $\mathbb{F}_p$
Let $p$ be an odd prime and $h(x)=x^2+ax+1$ be an irreducible polynomial over the field $\mathbb{F}_p$. I need to prove that the function
$$\Psi: \mathbb{F}_p^2 \longrightarrow \mathbb{F}_p, \quad (x …
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