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Polynomial Factoring over a finite field

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#polynomials #finite-fields #factoring #irreducible-polynomials
232
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Splitting field in finite field

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#field-theory #finite-fields
23.7k
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How to find all irreducible polynomials in Z2 with degree 5?

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#abstract-algebra #finite-fields #irreducible-polynomials
126
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Discrete Fourier Transform of a shift of a tuple over a finite field

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#fourier-series #finite-fields
1.2k
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Java efficient implementation of a finite field (for cryptography use)

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#finite-fields #online-resources
32
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Confusion about coordinate function

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#field-theory #finite-fields #extension-field
1.4k
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Splitting field of $x^3 - 2$ over $\mathbb{F}_5$

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#finite-fields #extension-field #splitting-field
1.5k
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Number of roots of a polynomial over a finite field

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#abstract-algebra #polynomials #roots #finite-fields
182
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If $T$ be an invertible linear operator on a finite-dimensional vector space over a finite field , then $T^n$ is the identity operator?

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#linear-algebra #group-theory #vector-spaces #finite-groups #finite-fields
277
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$f(x)=x^p-a$ is either ireducible or has a root?

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#abstract-algebra #finite-fields
886
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Field with 729 elements.

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#abstract-algebra #field-theory #finite-fields
2.3k
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How to handle negative numbers in modular arithmetic?

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#modular-arithmetic #finite-fields
528
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Fields over which a matrix is not invertible

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#linear-algebra #matrices #determinant #finite-fields #inverse
36
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Why $f(0)\neq 0$ where $f $ is a polynomial over the field $\mathbb F_q$ and $\deg(f)=m > 0$?

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#abstract-algebra #ring-theory #field-theory #finite-fields
106
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What does it mean for two polynomials to be the same in this fundamental field extension theorem?

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#abstract-algebra #finite-fields

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