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Rank of Elliptic Curve over Finite Field

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#finite-fields #elliptic-curves #cryptography
158
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Irreducibility of adjoint representation mod p.

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#representation-theory #finite-fields
1k
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Galois group of algebraic closure of a finite field is Abelian

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#field-theory #galois-theory #finite-fields
162
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Specific equation system in F2

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#systems-of-equations #finite-fields #cryptography
95
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If $a \in \mathbb{F}_q$ and $n \in \mathbb{N}$. Then $x^{q^n}-x+na$ is divisible by $x^q-x+ a$ over $\mathbb{F}_q$.

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#finite-fields
42
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Trace polynomial from $\mathbb{F}_{q^r}$ to $\mathbb{F}_{q^r}$

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#abstract-algebra #finite-fields #coding-theory
691
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Irreducible polynomials with a generator root

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#abstract-algebra #finite-fields #irreducible-polynomials
258
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Irreducibly of $x^5-x-1$ over $\mathbb{F}_3$

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#abstract-algebra #polynomials #finite-fields #irreducible-polynomials
250
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Show splitting field of $t^5 + 1$ over $\mathbb{F}_3$ is degree 4

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#abstract-algebra #polynomials #galois-theory #finite-fields #irreducible-polynomials
71
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Irreducibility of $f(x)=x^{q+1}+x+1$ over $\mathbb{F}_q$

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#finite-fields #irreducible-polynomials
548
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Prove that a finite field with an odd number of elements cannot have 1+1=0.

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#field-theory #finite-fields
168
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Rank of outer sum

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#matrices #ring-theory #vector-spaces #finite-fields #matrix-rank
553
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Primitive element and choice of irreducible polynomial

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#finite-fields #irreducible-polynomials #primitive-roots
126
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Arithmetic in finite fields with different bases

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#finite-fields #cryptography #change-of-basis
99
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Are they regarded as the same polynomial in $F_p$?

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#abstract-algebra #polynomials #finite-fields

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