Question

Obtaining a primitive polyomial over $GF(p^b)$ from a primitive p0lynomial over $GF(p)$.

score 120 · Answer 1 · 2017-02-18 05:56:27

120

Views

Obtaining a primitive polyomial over $GF(p^b)$ from a primitive p0lynomial over $GF(p)$.

Published on 18 Feb 2017 - 5:56

score 94 · Answer 2 · 2017-02-18 10:10:40

94

Views

$\deg(\gcd(g(x),h(x))) >0$ if and only if there exist $a(x)$ and $b(x)$ such that $a(x)g(x) + b(x)h(x)=0$

Published on 18 Feb 2017 - 10:10

score 99 · Answer 3 · 2017-02-18 13:17:40

99

Views

Finding a polynomial $f$ over $GF(17)$ given that $f(3)=5, f(2)=6$ and $f(8)=1$.

Published on 18 Feb 2017 - 13:17

score 116 · Answer 4 · 2026-03-25 13:34:21

116

Views

$x^2 + x$ in a finite local ring of even characteristic and its residue field

Published on 25 Mar 2026 - 13:34

score 81 · Answer 5 · 2017-02-18 19:21:47

81

Views

Abstract algebra, Field extension

Published on 18 Feb 2017 - 19:21

score 2.8k · Answer 6 · 2017-02-19 18:14:56

2.8k

Views

Normed vector spaces over finite fields

Published on 19 Feb 2017 - 18:14

score 158 · Answer 7 · 2017-02-20 11:06:52

158

Views

Resultant $(g(x),h(x)) = 0$ iff $\deg(\gcd(g(x),h(x)) )> 0$

Published on 20 Feb 2017 - 11:06

score 540 · Answer 8 · 2017-02-20 11:26:08

540

Views

Special properties of binary Galois field

Published on 20 Feb 2017 - 11:26

score 480 · Answer 9 · 2026-02-23 08:38:31

480

Views

How to describe a ring after adjoining an element to it?

Published on 23 Feb 2026 - 8:38

score 285 · Answer 10 · 2017-02-21 22:09:11

285

Views

Determine subgroup of squares.

Published on 21 Feb 2017 - 22:09

score 433 · Answer 11 · 2026-04-03 00:32:39

433

Views

Showing that $x^{14}+8x^{13}+3$ is irreducible in $ℚ[x]$ (need further explanation on the solution)

Published on 03 Apr 2026 - 0:32

score 684 · Answer 12 · 2017-02-22 09:23:36

684

Views

About Relation between Cyclic Group and Finite Field

Published on 22 Feb 2017 - 9:23

score 803 · Answer 13 · 2026-03-29 05:49:37

803

Views

Why does the primitive element $\alpha$ is a root of the field generator polynomial?

Published on 29 Mar 2026 - 5:49

score 1.9k · Answer 14 · 2017-02-24 00:00:48

1.9k

Views

Define polynomials over a finite field

Published on 24 Feb 2017 - 0:00

score 199 · Answer 15 · 2017-02-24 08:10:36

199

Views

Linear recurrences and primitive polynomials

Published on 24 Feb 2017 - 8:10

List Question

Obtaining a primitive polyomial over $GF(p^b)$ from a primitive p0lynomial over $GF(p)$.

$\deg(\gcd(g(x),h(x))) >0$ if and only if there exist $a(x)$ and $b(x)$ such that $a(x)g(x) + b(x)h(x)=0$

Finding a polynomial $f$ over $GF(17)$ given that $f(3)=5, f(2)=6$ and $f(8)=1$.

$x^2 + x$ in a finite local ring of even characteristic and its residue field

Abstract algebra, Field extension

Normed vector spaces over finite fields

Resultant $(g(x),h(x)) = 0$ iff $\deg(\gcd(g(x),h(x)) )> 0$

Special properties of binary Galois field

How to describe a ring after adjoining an element to it?

Determine subgroup of squares.

Showing that $x^{14}+8x^{13}+3$ is irreducible in $ℚ[x]$ (need further explanation on the solution)

About Relation between Cyclic Group and Finite Field

Why does the primitive element $\alpha$ is a root of the field generator polynomial?

Define polynomials over a finite field

Linear recurrences and primitive polynomials

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