A deterministic construction for normal bases of abelian extensions
Titel:
A deterministic construction for normal bases of abelian extensions
Auteur:
Poli, A.
Verschenen in:
Communications in algebra
Paginering:
Jaargang 22 (1994) nr. 12 pagina's 4751-4757
Jaar:
1994
Inhoud:
In this paper we give a deterministic construction for a Normal basis of Kf over K, where K' is an abelian extension of finite degree n over some commutative, infinite field K. No particular property for K is needed.We use polynomials already defined in [2], [5, chapter 5], In these papers the field K was finite. These polynomials were used in order to construct SDMC codes [5,chapter 6], to determine bivariate codes [2],[3], or to obtain the best possible principal nilpotent codes [6], Our construction is deduced from new properties of these polynomials
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