List questions from finite-fields

Published on 18 Jan 2016 - 23:00

48

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Show $ \mathbb{F}_2[x]/(x^3 + x^2 + 1) \simeq \mathbb{F}_2[t]/(t^3 + t + 1)$

Published on 19 Jan 2016 - 17:53

1.2k

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Polynomial Residue Classes

Published on 20 Jan 2016 - 13:04

89

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Can you construct a field of characteristic $\neq 0, 2$ such that every one of its subrings is also a field?

Published on 22 Jan 2016 - 22:18

2.3k

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Why are the elements of a galois/finite field represented as polynomials?

Published on 25 Jan 2016 - 7:28

207

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field properties from prime subfield

Published on 25 Jan 2016 - 9:48

1.1k

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What's the formulation of N-point radix-N for NTT

Published on 05 Apr 2026 - 16:48

81

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Existence of a linear map in general position

Published on 25 Jan 2016 - 23:41

1.4k

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Residue fields of schemes of finite type (over $\mathbb{Z}$)

Published on 27 Mar 2026 - 8:46

181

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Character Sums and Characteristic Functions

Published on 28 Mar 2026 - 7:57

2k

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Multiplicative Inverse in a $256$ Galois Field

Published on 06 Apr 2026 - 11:55

313

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Twisted Kloosterman Sums

Published on 28 Mar 2026 - 7:50

121

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The algebraic structure of repeated root cyclic codes

Published on 31 Mar 2026 - 3:26

79

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Linear complexity of powers of a periodic sequences over finite fields

Published on 31 Mar 2026 - 3:33

80

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A property of bijective polynomials

Published on 31 Jan 2016 - 18:12

List Question

Polytopes in binary field

Show $ \mathbb{F}_2[x]/(x^3 + x^2 + 1) \simeq \mathbb{F}_2[t]/(t^3 + t + 1)$

Polynomial Residue Classes

Can you construct a field of characteristic $\neq 0, 2$ such that every one of its subrings is also a field?

Why are the elements of a galois/finite field represented as polynomials?

field properties from prime subfield

What's the formulation of N-point radix-N for NTT

Existence of a linear map in general position

Residue fields of schemes of finite type (over $\mathbb{Z}$)

Character Sums and Characteristic Functions

Multiplicative Inverse in a $256$ Galois Field

Twisted Kloosterman Sums

The algebraic structure of repeated root cyclic codes

Linear complexity of powers of a periodic sequences over finite fields

A property of bijective polynomials

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