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Finite field - Wikipedia
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Arrives by Friday, Sep Free pickup Fri, Sep Ships to San Leandro, Davis St. Product Highlights Presents an introduction to the theory of finite fields and some of its most important applications. About This Item We aim to show you accurate product information.
Manufacturers, suppliers and others provide what you see here, and we have not verified it. See our disclaimer. The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits.
The first part of this book presents an introduction to this theory, emphasizing those aspects that are relevant for application.here
The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory, and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is designed as a graduate level textbook; worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout.
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Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics , including linear As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics , including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering.
For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods. The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences.
There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm. Finite Fields and Their Applications is published four times per year and maintains very strict refereeing standards, accepting only those papers which receive excellent referee reports.
This journal has an Open Archive. All published items, including research articles, have unrestricted access and will remain permanently free to read and download 48 months after publication. All papers in the Archive are subject to Elsevier's user license. Since 1st September , we have made over , archived mathematics articles freely available to the mathematics community. Search in:. ISSN: Finite Fields and Their Applications.
Editor-in-Chief: Gary L. View Editorial Board. Submit Your Paper.
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