Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
finite field
|
| gptkbp:additiveGroup |
cyclic if q is prime
|
| gptkbp:alsoKnownAs |
gptkb:Galois_field
|
| gptkbp:automorphismGroup |
cyclic of order n if q=p^n
|
| gptkbp:characteristic |
prime divisor of q
|
| gptkbp:contains |
q elements
|
| gptkbp:existsIn |
q is a prime power
|
| gptkbp:hasSubfield |
GF(q^n) for n>1
|
| https://www.w3.org/2000/01/rdf-schema#label |
GF(q)
|
| gptkbp:minimalPolynomial |
irreducible polynomial over prime field
|
| gptkbp:multiplicativeGroup |
cyclic
|
| gptkbp:namedAfter |
gptkb:Évariste_Galois
|
| gptkbp:notation |
gptkb:𝔽_q
F_q |
| gptkbp:order |
q
|
| gptkbp:uniqueUpToIsomorphism |
true
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
coding theory cryptography number theory combinatorics |
| gptkbp:bfsParent |
gptkb:Galois_fields
|
| gptkbp:bfsLayer |
6
|