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Splitting Field of $x^3-x$ over $\mathbb{F}_4$

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#abstract-algebra #galois-theory #finite-fields #splitting-field
33
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one-sided inverses for ideals of finite algebras

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#abstract-algebra #ring-theory #finite-fields
611
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Irreducible Polynomials over Finite Prime Fields

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#finite-fields
1k
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Calculating number of errors that is undetected by a CRC using a particular polynomial

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#reference-request #finite-fields #coding-theory
38
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What is $[GF(p^n):GF(p^m)]$ if $m|n$?

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#finite-fields
1k
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Irreducible Polynomial for $GF(2^{256})$

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#galois-theory #finite-fields
150
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Set of primes $p$ for which $x^3-4x-1$ factors completely over $GF(p)$

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#finite-fields #quadratics #irreducible-polynomials #cubics
315
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degree of finite extension of finite field

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#abstract-algebra #galois-theory #finite-fields #extension-field
279
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Difference between an affine transform and isomorphic transform in GF(2)?

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#finite-fields #cryptography
195
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Existence of Finite Fields

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#abstract-algebra #field-theory #finite-fields
308
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Decomposition of a matrix by sparse matrices

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#linear-algebra #matrices #reference-request #finite-fields #matrix-decomposition
32
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Period of $i\mapsto S_0\,x^i\bmod P$

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#finite-fields #irreducible-polynomials
533
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Understanding Gauss's product formula as cited in Golomb's Shift Register Sequences

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#abstract-algebra #finite-fields
60
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Existence and uniqueness of a subfield of an algebraic closure of a certain degree over a finite field

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#abstract-algebra #field-theory #finite-fields
1.6k
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Existence of homomorphisms between finite fields

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#abstract-algebra #ring-theory #field-theory #finite-fields #ring-homomorphism

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