Question

The equivalent of multiplying by $-1$ in $GF(4)$?

score 96 · Answer 1 · 2026-04-14 05:13:55

96

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The equivalent of multiplying by $-1$ in $GF(4)$?

Published on 14 Apr 2026 - 5:13

score 112 · Answer 2 · 2026-04-10 19:12:59

112

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Is there a cyclic code with the following parameters?

Published on 10 Apr 2026 - 19:12

score 158 · Answer 3 · 2026-04-16 12:27:47

158

Views

Constructing an isomorphism between two finite fields of order 25.

Published on 16 Apr 2026 - 12:27

score 183 · Answer 4 · 2026-04-14 05:22:16

183

Views

Intersection of subspaces: Does there exist for a subspace a non trivial subspace such that that their intersection has dimension 1?

Published on 14 Apr 2026 - 5:22

score 127 · Answer 5 · 2026-03-25 17:37:44

127

Views

Finding last coefficient of a multivariate polynomial in $GF(2)$ in polynomial time

Published on 25 Mar 2026 - 17:37

score 509 · Answer 6 · 2026-04-15 08:37:12

509

Views

Is the determinant of a matrix different depending on the field over which it is viewed

Published on 15 Apr 2026 - 8:37

score 127 · Answer 7 · 2026-04-29 21:17:54

127

Views

Determine the Automorphisms of the extension field $\mathbb{F}_{19683}$ of $\mathbb{F}_{27}$

Published on 29 Apr 2026 - 21:17

score 106 · Answer 8 · 2026-04-15 08:11:38

106

Views

Why does the multiplicative order divide $|\mathbb{F}|-1$?

Published on 15 Apr 2026 - 8:11

score 238 · Answer 9 · 2026-04-17 01:16:17

238

Views

Counting minimum elements needed such that their sum covers the whole finite space.

Published on 17 Apr 2026 - 1:16

score 72 · Answer 10 · 2026-04-11 17:52:25

72

Views

Is there an error-correcting code for bits expressed in 3-D?

Published on 11 Apr 2026 - 17:52

score 56 · Answer 11 · 2026-04-16 01:07:06

If $\beta$ is a primitive element in extension field GF$(2^m)$ does $\beta$ and $\beta^3$ are for all $m$ non-conjugate elements?

score 474 · Answer 12 · 2026-04-15 09:22:10

474

Views

Complete Cayley table for a field

Published on 15 Apr 2026 - 9:22

score 97 · Answer 13 · 2026-04-16 15:07:12

97

Views

Intersection of a set of matrices nonzero over a finite field

Published on 16 Apr 2026 - 15:07

score 394 · Answer 14 · 2026-04-13 16:24:40

394

Views

Why is the cyclotomic polynomial quotient ring isomorphic to a product of finite fields?

Published on 13 Apr 2026 - 16:24

score 77 · Answer 15 · 2026-04-13 18:26:50

77

Views

Isomorphim between $\mathbb F_{2^k}$ with different reduction polynomials

Published on 13 Apr 2026 - 18:26

List Question

The equivalent of multiplying by $-1$ in $GF(4)$?

Is there a cyclic code with the following parameters?

Constructing an isomorphism between two finite fields of order 25.

Intersection of subspaces: Does there exist for a subspace a non trivial subspace such that that their intersection has dimension 1?

Finding last coefficient of a multivariate polynomial in $GF(2)$ in polynomial time

Is the determinant of a matrix different depending on the field over which it is viewed

Determine the Automorphisms of the extension field $\mathbb{F}_{19683}$ of $\mathbb{F}_{27}$

Why does the multiplicative order divide $|\mathbb{F}|-1$?

Counting minimum elements needed such that their sum covers the whole finite space.

Is there an error-correcting code for bits expressed in 3-D?

If $\beta$ is a primitive element in extension field GF$(2^m)$ does $\beta$ and $\beta^3$ are for all $m$ non-conjugate elements?

Complete Cayley table for a field

Intersection of a set of matrices nonzero over a finite field

Why is the cyclotomic polynomial quotient ring isomorphic to a product of finite fields?

Isomorphim between $\mathbb F_{2^k}$ with different reduction polynomials

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