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Approximating a Euclidean Algorithm

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#finite-fields
317
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Quotient Space over finite field.

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#linear-algebra #finite-fields
193
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root of binary matrix

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#matrices #finite-fields #roots
1.4k
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A question about irreducible polynomials, roots, and polynomial bases

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#polynomials #finite-fields
790
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Rank of matrices multiplication

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#matrices #finite-fields
258
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If $x$ is a root of $x^2 + x + 1$ over $GF(4)$, then so is $x + 1$

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#field-theory #finite-fields #extension-field
29
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$X_1X_2$ in $Z_2[X_1] /(X_1^2+X_1+X_1)[X_2]/(X_2^2 +X_2 + X_1)$

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#field-theory #finite-fields
228
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What are the equivalents of regular polytopes in finite or p-adic fields?

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#geometry #finite-fields #p-adic-number-theory #polytopes
105
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Counting irreducible polynomials of the form $x^2 - ax + 1$ over a finite field.

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#abstract-algebra #finite-fields #irreducible-polynomials
264
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Jordan normal form of sum of two commuting nilpotent matrices over a finite field (variant on a linear matrix pencil problem)

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#linear-algebra #matrices #lie-algebras #finite-fields #jordan-normal-form
555
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Does multivariate polynomial over a finite field always have a solution (in the field)?

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#abstract-algebra #polynomials #finite-fields
116
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Irreducible factorization over $\mathbb{Q}$

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#abstract-algebra #polynomials #galois-theory #finite-fields #irreducible-polynomials
134
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Understanding the roots of the irreducible factors of the 15-th cyclotomic polynomial modulo $7$

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#abstract-algebra #reference-request #field-theory #finite-fields #cyclotomic-polynomials
108
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Understanding an observation between the 3rd and 15th cyclotomic polynomial over $\mathbb{F}_7$

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#abstract-algebra #finite-fields #coding-theory #minimal-polynomials #cyclotomic-polynomials
269
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Elements of $\mathbb{Z}_2[X]/(X^2+X+1)$

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#abstract-algebra #finite-fields

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