List questions from finite-fields

Published on 14 Apr 2026 - 8:45

425

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Solutions to an equation of the form $x^n=x$ in a finite field.

Published on 13 Apr 2026 - 23:55

65

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Determining which finite fields a multi-variant polynomial has roots

Published on 14 Apr 2026 - 5:57

202

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Error in Berlekamp-Massey Algorithm?

Published on 11 Apr 2026 - 12:42

1.1k

Views

How many fields are there (Up to isomorphism) with exactly 6 elements?

Published on 15 Apr 2026 - 7:08

446

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Subfield of finite field generated by cubed elements

Published on 12 Apr 2026 - 14:51

84

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Which of the following statesment are true?

Published on 14 Apr 2026 - 18:00

75

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Probably Primitive Polynomials Redux

Published on 16 Apr 2026 - 3:26

109

Views

Why are there $p^n$ elements in the quotient field $\mathbb{F}_p [x]/ (f)$

Published on 16 Apr 2026 - 23:49

43

Views

Degree of field extention $\mathbb{F}_{p^q} / \mathbb{F}_p$

Published on 16 Apr 2026 - 21:58

2.5k

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Scalar multiplication in vector space

Published on 16 Apr 2026 - 1:44

278

Views

Determining orders of elements in extensions of finite fields

Published on 14 Apr 2026 - 7:25

168

Views

Algebra of additive polynomials

Published on 13 Apr 2026 - 7:56

432

Views

Motivating Number Theory/Combinatorics questions leading to finite field

Published on 13 Apr 2026 - 2:53

40

Views

because $ Tr (a) = Tr (a ^ p) $ where $ a \in \mathbb {F} _q$ (finite field) and p is characteristic of this field

Published on 17 Apr 2026 - 10:07

List Question

Practical way to interprete elements of extension fields

Solutions to an equation of the form $x^n=x$ in a finite field.

Determining which finite fields a multi-variant polynomial has roots

Error in Berlekamp-Massey Algorithm?

How many fields are there (Up to isomorphism) with exactly 6 elements?

Subfield of finite field generated by cubed elements

Which of the following statesment are true?

Probably Primitive Polynomials Redux

Why are there $p^n$ elements in the quotient field $\mathbb{F}_p [x]/ (f)$

Degree of field extention $\mathbb{F}_{p^q} / \mathbb{F}_p$

Scalar multiplication in vector space

Determining orders of elements in extensions of finite fields

Algebra of additive polynomials

Motivating Number Theory/Combinatorics questions leading to finite field

because $ Tr (a) = Tr (a ^ p) $ where $ a \in \mathbb {F} _q$ (finite field) and p is characteristic of this field

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