Hachenberger dirk (49 resultados)

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Condición: New. pp. XIV, 785 11 illus. 1 Edition NO-PA16APR2015-KAP.

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Hardback. Condición: New. 1st ed. 2020. This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields.We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm.The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.…

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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields.We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm.The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.…

Condición: New. Over the years, normal bases in finite fields have been proved to be very useful for doing arithmetic computations. In addition to interest in arbitrary normal bases, this book examines a special class of normal bases whose existence has only been settled more recently. It serves as a reference for researchers in finite fields. Series: The Springer International Series in Engineering and Computer Science. Num Pages: 171 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 980. . 1996. Hardback. . . . .…

Taschenbuch. Condición: Neu. Finite Fields | Normal Bases and Completely Free Elements | Dirk Hachenberger | Taschenbuch | xii | Englisch | 2012 | Springer | EAN 9781461378778 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Hardcover. Condición: Brand New. 799 pages. 9.25x6.10x1.69 inches. In Stock.

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Condición: New. pp. 188.

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Gebunden. Condición: New. Finite Fields are fundamental structures of Discrete Mathematics. They serve as basic data structures in pure disciplines like Finite Geometries and Combinatorics, and also have aroused much interest in applied disciplines like Coding Theory and Cryptograph.

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Condición: New. Over the years, normal bases in finite fields have been proved to be very useful for doing arithmetic computations. In addition to interest in arbitrary normal bases, this book examines a special class of normal bases whose existence has only been settled more recently. It serves as a reference for researchers in finite fields. Series: The Springer International Series in Engineering and Computer Science. Num Pages: 171 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 980. . 1996. Hardback. . . . . Books ship from the US and Ireland.…

Hardback. Condición: New. 1st ed. 2020. This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields.We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm.The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.…

Buch. Condición: Neu. Neuware - Finite Fields are fundamental structures of Discrete Mathematics. They serve as basic data structures in pure disciplines like Finite Geometries and Combinatorics, and also have aroused much interest in applied disciplines like Coding Theory and Cryptography. A look at the topics of the proceed ings volume of the Third International Conference on Finite Fields and Their Applications (Glasgow, 1995) (see [18]), or at the list of references in I. E. Shparlinski's book [47] (a recent extensive survey on the Theory of Finite Fields with particular emphasis on computational aspects), shows that the area of Finite Fields goes through a tremendous development. The central topic of the present text is the famous Normal Basis Theo rem, a classical result from field theory, stating that in every finite dimen sional Galois extension E over F there exists an element w whose conjugates under the Galois group of E over F form an F-basis of E (i. e. , a normal basis of E over F; w is called free in E over F). For finite fields, the Nor mal Basis Theorem has first been proved by K. Hensel [19] in 1888. Since normal bases in finite fields in the last two decades have been proved to be very useful for doing arithmetic computations, at present, the algorithmic and explicit construction of (particular) such bases has become one of the major research topics in Finite Field Theory.…

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