Category:Galois Fields

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This category contains results about Galois Fields.
Definitions specific to this category can be found in Definitions/Galois Fields.

A Galois field $\struct {\GF, +, \circ}$ is a field such that $\GF$ is a finite set.

Subcategories

This category has the following 7 subcategories, out of 7 total.

E

Examples of Galois Fields‎ (3 P)

F

Field of Integers Modulo Prime‎ (1 P)
Field with 4 Elements has only Order 2 Elements‎ (3 P)
Finite Integral Domain is Galois Field‎ (5 P)

G

Galois Field has Non-Zero Characteristic‎ (3 P)

R

Ring of Integers Modulo Prime is Field‎ (1 C, 6 P)

W

Wedderburn's Theorem‎ (2 P)

Pages in category "Galois Fields"

The following 13 pages are in this category, out of 13 total.

C

Characteristic of Galois Field is Prime

F

G

I

Integral Domain of Prime Order is Field

M

Multiplicative Group of Galois Field is Cyclic

O

Order of General Linear Group over Galois Field

P

Prime Power Mapping on Galois Field is Automorphism

R

Ring of Integers Modulo Prime is Field

W

Wedderburn's Theorem

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