Finite Fields

Name: Finite Fields
Brand: Springer
SKU: 9780792398516
Price: 177.91 EUR
Availability: InStock

Normal Bases and Completely Free Elements

Автор: Dirk Hachenberger

Език:

Корици: С твърди корици

Издател: Springer

Наличност: Външен склад в ограничено количество

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177.91 € 347.97 лв

The central topic of Finite Fields: Normal Bases and Completely Free Elements is the famous Normal B...

Информация за книгата

Автор

Dirk Hachenberger

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1996

страници

171

EAN

9780792398516

ISBN

0792398513

Enbook ID

01398499

Издател

Springer

Теглоt

980

Размери

155 x 235 x 13

Пълно описание

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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