Galois fields

GPTKB entity

Statements (29)
Predicate Object
gptkbp:instanceOf finite field
gptkbp:automorphismGroup cyclic group
gptkbp:characteristic gptkb:Prime_Number
gptkbp:contains primitive element
gptkbp:everyFiniteFieldIsomorphicTo gptkb:Galois_field
gptkbp:extendsTo prime field
https://www.w3.org/2000/01/rdf-schema#label Galois fields
gptkbp:namedAfter gptkb:Évariste_Galois
gptkbp:notation gptkb:𝔽_q
gptkb:GF(q)
gptkbp:orderIs prime power
gptkbp:structure cyclic multiplicative group
gptkbp:usedFor gptkb:geometry
gptkb:AES_(Advanced_Encryption_Standard)
gptkb:Reed-Solomon_codes
gptkb:stream_ciphers
digital signal processing
hash functions
polynomial factorization
block ciphers
pseudo-random number generation
spread spectrum communications
gptkbp:usedIn gptkb:algebraic_geometry
coding theory
cryptography
error correction
combinatorics
gptkbp:bfsParent gptkb:Algebraic_Coding_Theory
gptkbp:bfsLayer 5