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isomorphism between multiplicative groups of quotient rings $GF(2)[x]/p(x)$

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#finite-fields #group-isomorphism
109
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Factorization and GCD for Rijndael's finite field

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#modular-arithmetic #finite-fields #irreducible-polynomials #gcd-and-lcm
67
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About polynomials over extensions of finite fields

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#polynomials #finite-fields
611
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Constructing type $k$ Gaussian normal basis for $GF(2^n)$

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#finite-fields #galois-extensions
92
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transmission over isomorphism finite fields

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#finite-fields #group-isomorphism
496
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Factoring $x^n-1$ over $GF(p^q)$

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#finite-fields
1.9k
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How to show the only absolute value on a finite field is the trivial one.

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#abstract-algebra #finite-fields #valuation-theory
52
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Any Finite Field $K$ with $p^r$ element is a splitting field for $f(t) = t^{p^r} - t$

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#abstract-algebra #group-theory #finite-groups #field-theory #finite-fields
91
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Defining the p-Frobenius for $GF(p^{16})$ explicit

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#number-theory #finite-fields #exponentiation #power-towers
373
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Lifting multiplicative characters over finite fields

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#finite-fields #characters
239
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Structure of elliptic curve over finite field

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#number-theory #algebraic-geometry #finite-fields #elliptic-curves
109
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Which of the following is (are) correct?

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#abstract-algebra #ring-theory #finite-fields #group-homomorphism
56
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How did the author of the book conclude this passage?

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#abstract-algebra #finite-fields
838
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Show that either $f$ is irreducible or $f$ factors into irreducible polynomials of degree $3$ over $K$.

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#abstract-algebra #field-theory #finite-fields
2.3k
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Division in a finite field, $1/2$ in $\mathbb{Z}_5$ is $3$

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#finite-fields

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