HUDU

Finite Fields and Galois Rings

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September 2011

Beschreibung

Beschreibung

A large portion of the book can be used as a textbook for graduate and upper level undergraduate students in mathematics, communication engineering, computer science and other fields. The remaining part can be used as references for specialists. Explicit construction and computation of finite fields are emphasized. In particular, the construction of irreducible polynomials and normal basis of finite field is included. A detailed treatment of optimal normal basis and Galoi's rings is included. It is the first time that the galois rings are in book form.

Inhaltsverzeichnis

Sets and Integers; Groups; Fields and Rings; Polynomials; Residue Class Rings; Structure of Finite Fields; Further Properties of Finite Fields; Bases; Factoring Polynomials over Finite Fields; Irreducible Polynomials over Finite Fields; Quadratic Forms over Finite Fields; More Group Theory and Ring Theory; Hensel's Lemma and Hensel Lift; Galois Rings.
EAN: 9789814366342
ISBN: 981436634X
Untertitel: HC gerader Rücken kaschiert. Sprache: Englisch.
Verlag: World Scientific Publishing Company
Erscheinungsdatum: September 2011
Seitenanzahl: 388 Seiten
Format: gebunden
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