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Results tagged with finite-fields
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user 34066
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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vote
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answer
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Order of roots for a polynomial $P\in\mathbb{F}_p[T]$
Let $P\in\mathbb{F}_p[T]$ (not supposed irreducible). All roots $\xi$ of $P$ have a certain order $k$ such that $\xi^k=1$.
Question: is it possible to know the order of the roots of the given polynomi …
- 275
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0
answers
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Order of elements $\gamma$ and $1-\gamma$ in $\mathbb{F}_q$
I'd like to find if possible the orders possible for $1-\gamma$ given a $\gamma\in\mathbb{F}_q$ of given order $\mathcal{o}$ (where $q=p^f$).
Which is clear is that these order have the same degree (d …
- 275