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Results tagged with finite-fields
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user 51424
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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Points on affine hypersurface over finite field
Note that the defining equation for $X$ can be rewritten as
$$(x+y)^3+(x-y)^3+(z+w)^3+(z-w)^3=-2.$$
As the linear transformation $(x,y,z,w)\mapsto(x+y,x-y,z+w,z-w)$ is invertible over any field of cha …
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