portada Topics in Galois Fields (en Inglés)

Formato

Libro Físico

Autor

Dirk Hachenberger

Dieter Jungnickel

Editorial

Springer

Idioma

Inglés

N° páginas

785

Encuadernación

Tapa Dura

Dimensiones

23.4x15.6x4.3 cm

Peso

1.29 kg.

ISBN13

9783030608040

Categorías

Álgebra
Teoría de números

Topics in Galois Fields (en Inglés)

Dirk Hachenberger (Autor) · Dieter Jungnickel (Autor) · Springer · Tapa Dura

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Reseña del libro "Topics in Galois Fields (en Inglés)"

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.