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Covering vector space over finite field by subspaces

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#linear-algebra #combinatorics #finite-fields
76
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Reciprocal divisibility of equally valued polynomials over a field

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#polynomials #divisibility #finite-fields
236
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Solving overdetermined linear systems in GF(2)

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#finite-fields #coding-theory
616
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Proof of normal basis theorem for finite fields

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#abstract-algebra #field-theory #galois-theory #finite-fields
978
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Field $\mathbb{Q}(\alpha)$ with $\alpha=\sqrt[3]7+2i$

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#field-theory #finite-fields #extension-field
726
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Subfield of a finite field with prime characteristic

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#abstract-algebra #finite-fields
1.2k
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Rank of a Polynomial function over Finite Fields

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#linear-algebra #abstract-algebra #algebraic-geometry #polynomials #finite-fields
694
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Finite fields of order 8 and isomorphism

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#finite-fields
275
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Finding bases to GF($2^m$) over GF($2$)

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#linear-algebra #linear-transformations #finite-fields #change-of-basis
72
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How to arrange $p-1$ non-zero elements into $A$ groups of $B$ where $p$ is a prime number

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#group-theory #finite-groups #finite-fields #cyclic-groups
145
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Prove that every monic polynomial $f$ irreducible in $\mathbb {F}_q[x]$ has $\deg(f)$ roots in a finite extension $ E $ such that …

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#finite-fields
828
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All maximal subfields of a Division Algebra are isomorphic.

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#abstract-algebra #ring-theory #field-theory #finite-fields #algebras
58
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Ideal $I_p$ in $\mathbb{F}_l[x]/(x^p -1)$ where $\frac{\epsilon p}{2} \leq \dim(I_p) < \epsilon p$

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#abstract-algebra #proof-verification #field-theory #ideals #finite-fields
167
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Optimal normal basis in Tower field construction

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#polynomials #field-theory #finite-fields #irreducible-polynomials
899
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Fibonacci numbers mod $p$

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#prime-numbers #modular-arithmetic #finite-fields #fibonacci-numbers

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