List questions from finite-fields

Published on 18 Mar 2026 - 11:19

69

Views

Reciprocal divisibility of equally valued polynomials over a field

Published on 20 Mar 2026 - 6:29

224

Views

Solving overdetermined linear systems in GF(2)

Published on 17 Mar 2026 - 9:10

606

Views

Proof of normal basis theorem for finite fields

Published on 17 Mar 2026 - 9:29

967

Views

Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

Published on 18 Mar 2026 - 6:49

714

Views

Subfield of a finite field with prime characteristic

Published on 20 Mar 2026 - 7:46

1.2k

Views

Rank of a Polynomial function over Finite Fields

Published on 24 Mar 2026 - 14:25

685

Views

Finite fields of order 8 and isomorphism

Published on 22 Mar 2026 - 16:45

265

Views

Finding bases to GF($2^m$) over GF($2$)

Published on 22 Mar 2026 - 10:58

58

Views

How to arrange $p-1$ non-zero elements into $A$ groups of $B$ where $p$ is a prime number

Published on 19 Mar 2026 - 18:17

139

Views

Prove that every monic polynomial $f$ irreducible in $\mathbb {F}_q[x]$ has $\deg(f)$ roots in a finite extension $ E $ such that …

Published on 22 Mar 2026 - 2:46

821

Views

All maximal subfields of a Division Algebra are isomorphic.

Published on 22 Mar 2026 - 7:47

48

Views

Ideal $I_p$ in $\mathbb{F}_l[x]/(x^p -1)$ where $\frac{\epsilon p}{2} \leq \dim(I_p) < \epsilon p$

Published on 17 Mar 2026 - 20:39

156

Views

Optimal normal basis in Tower field construction

Published on 20 Mar 2026 - 2:32

890

Views

Fibonacci numbers mod $p$

Published on 21 Mar 2026 - 10:54

List Question

Covering vector space over finite field by subspaces

Reciprocal divisibility of equally valued polynomials over a field

Solving overdetermined linear systems in GF(2)

Proof of normal basis theorem for finite fields

Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

Subfield of a finite field with prime characteristic

Rank of a Polynomial function over Finite Fields

Finite fields of order 8 and isomorphism

Finding bases to GF($2^m$) over GF($2$)

How to arrange $p-1$ non-zero elements into $A$ groups of $B$ where $p$ is a prime number

Prove that every monic polynomial $f$ irreducible in $\mathbb {F}_q[x]$ has $\deg(f)$ roots in a finite extension $ E $ such that …

All maximal subfields of a Division Algebra are isomorphic.

Ideal $I_p$ in $\mathbb{F}_l[x]/(x^p -1)$ where $\frac{\epsilon p}{2} \leq \dim(I_p) < \epsilon p$

Optimal normal basis in Tower field construction

Fibonacci numbers mod $p$

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