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- Normal_basis abstract "In mathematics, a normal basis in field theory is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any finite Galois extension of fields has a normal basis. In algebraic number theory the study of the more refined question of the existence of a normal integral basis is part of Galois module theory.In the case of finite fields, this means that each of the basis elements is related to any one of them by applying the Frobenius p-th power mapping repeatedly, where p is the characteristic of the field. Let GF(pm) be a field with pm elements, and β an element of it such that the m elementsare linearly independent. Then this set forms a normal basis for GF(pm) over GF(p).".
- Normal_basis wikiPageID "1028589".
- Normal_basis wikiPageRevisionID "599002691".
- Normal_basis hasPhotoCollection Normal_basis.
- Normal_basis subject Category:Abstract_algebra.
- Normal_basis subject Category:Cryptography.
- Normal_basis subject Category:Field_theory.
- Normal_basis subject Category:Linear_algebra.
- Normal_basis comment "In mathematics, a normal basis in field theory is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any finite Galois extension of fields has a normal basis.".
- Normal_basis label "Normal basis".
- Normal_basis label "Théorème de la base normale".
- Normal_basis label "正規基底".
- Normal_basis sameAs Théorème_de_la_base_normale.
- Normal_basis sameAs 正規基底.
- Normal_basis sameAs m.03_mqh.
- Normal_basis sameAs Q3527199.
- Normal_basis sameAs Q3527199.
- Normal_basis wasDerivedFrom Normal_basis?oldid=599002691.
- Normal_basis isPrimaryTopicOf Normal_basis.