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Number of solutions to a 0-1 non-linear integer program

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#galois-theory #finite-fields
108
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Does composing the Frobenius with an automorphism give another Frobenius

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#algebraic-geometry #finite-fields #arithmetic-geometry
9.6k
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Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?

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#abstract-algebra #polynomials #finite-fields #irreducible-polynomials
4.5k
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Constructing Isomorphism between finite field

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#abstract-algebra #finite-fields
2.4k
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Quotient Rings of Polynomials Over Finite Fields

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#polynomials #ring-theory #finite-fields
275
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Equation of the line in an affine plane over a polynomial field

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#abstract-algebra #finite-fields #affine-geometry
441
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Elements in finite field extensions

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#abstract-algebra #field-theory #finite-fields
1.9k
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Every finite field is a residue field of a number field

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#algebraic-number-theory #finite-fields
308
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Given a list of $2^n$ nonzero vectors in $GF(2^n)$, do some $2^{n-1}$ of them sum to 0?

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#combinatorics #finite-fields #additive-combinatorics #algebraic-combinatorics #arithmetic-combinatorics
2k
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Derivations of Polynomial Algebra

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#abstract-algebra #finite-fields
939
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A question on Jacobi sums

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#number-theory #finite-fields
109
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Spanning set for $\mathbb{Z}_2^{1+b(a+1)}$

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#linear-algebra #finite-fields
504
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Find the first 4 elements of a given field

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#field-theory #finite-fields
1.5k
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Generator and char. polynomial for a binary Galois Field produced by an external-XOR LFSR

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#galois-theory #finite-fields #coding-theory
665
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Is there an analogue of the jordan normal form of an nilpotent linear transform of a polynomial ring?

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#linear-algebra #commutative-algebra #finite-fields

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