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Kniha Finite Fields Dirk Hachenberger

Finite Fields

Normal Bases and Completely Free Elements

Autor: Dirk Hachenberger
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
3 938 Kč
The central topic of Finite Fields: Normal Bases and Completely Free Elements is the famous Normal B...

Informace o knize

Autor
Dirk Hachenberger
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1996
Stránek
171
EAN
9780792398516
ISBN
0792398513
Enbook ID
01398499
Vydavatel
Springer
Hmotnost
980
Rozměry
155 x 235 x 13

Kompletní popis

The central topic of Finite Fields: Normal Bases and Completely Free Elements is the famous Normal Basis Theorem, a classical result from field theory. In the last two decades, normal bases in finite fields have been proved to be very useful for doing arithmetic computations. At present, the algorithmic and explicit construction of such bases has become one of the major research topics in Finite Field Theory. Moreover, the search for such bases also led to a better theoretical understanding of the structure of finite fields. §In addition to interest in arbitrary normal bases, Finite Fields: Normal Bases and Completely Free Elements examines a special class of normal bases whose existence has only been settled more recently. The main problems considered in the present work are the characterization, the enumeration, and the explicit construction of completely free elements in arbitrary finite dimensional extensions over finite fields. Up to now, there is no work done stating whether the universal property of a completely free element can be used to accelerate arithmetic computations in finite fields. Therefore, the present work belongs to Constructive Algebra and constitutes a contribution to the theory of Finite Fields. §This book serves as an excellent reference for researchers in finite fields, and may be used as a text for advanced courses on the subject.

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