List questions from finite-fields

Published on 13 Apr 2026 - 9:01

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finding the LFSR and connection polynomial for binary sequence

Published on 10 Apr 2026 - 21:49

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Prove that the fields $\mathbb Z_{11}[x]/\langle x^2+1\rangle$ and $\mathbb Z_{11}[x]/\langle x^2+x+4 \rangle$ are isomorphic

Published on 17 Apr 2026 - 22:29

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Primitive $2^k$-th roots of unity in $GF(p)$

Published on 16 Apr 2026 - 11:46

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Problem in Jacobson's Basic Algebra (Vol. I)

Published on 25 Mar 2026 - 21:31

257

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Representation of a subset of a finite affine space as a variety

Published on 14 Apr 2026 - 2:45

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The finite field of $9$ elements - $GF( 3^2)$

Published on 16 Apr 2026 - 1:16

148

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irreducible , extension field, coding

Published on 13 Apr 2026 - 10:34

118

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How many elements there are that generate $\mathbb{F}_{3^{60}}$ over $\mathbb{F}_{3^6}$?

Published on 15 Apr 2026 - 18:33

733

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The number of subspaces of a vector space forming direct sum with a given subpace

Published on 15 Apr 2026 - 9:35

276

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Primitive root modulo $p$

Published on 13 Apr 2026 - 20:54

102

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Why are generators of $Z^{*}_p, p=c \cdot 2^k + 1$ so small?

Published on 17 Apr 2026 - 20:36

731

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Order and generator of the Galois group of an extension of finite fields

Published on 12 Apr 2026 - 10:17

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How to count number of bases and subspaces of a given dimension in a vector space over a finite field?

Published on 16 Apr 2026 - 0:11

569

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Algebraic Extensions and Separability

Published on 12 Apr 2026 - 23:27

List Question

The digit base and the NTT convolution

finding the LFSR and connection polynomial for binary sequence

Prove that the fields $\mathbb Z_{11}[x]/\langle x^2+1\rangle$ and $\mathbb Z_{11}[x]/\langle x^2+x+4 \rangle$ are isomorphic

Primitive $2^k$-th roots of unity in $GF(p)$

Problem in Jacobson's Basic Algebra (Vol. I)

Representation of a subset of a finite affine space as a variety

The finite field of $9$ elements - $GF( 3^2)$

irreducible , extension field, coding

How many elements there are that generate $\mathbb{F}_{3^{60}}$ over $\mathbb{F}_{3^6}$?

The number of subspaces of a vector space forming direct sum with a given subpace

Primitive root modulo $p$

Why are generators of $Z^{*}_p, p=c \cdot 2^k + 1$ so small?

Order and generator of the Galois group of an extension of finite fields

How to count number of bases and subspaces of a given dimension in a vector space over a finite field?

Algebraic Extensions and Separability

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