Finite fields and Galois rings
Author(s)
Bibliographic Information
Finite fields and Galois rings
World Scientific, c2012
Available at / 8 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p. 369-371) and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"
