3 edition of **Finite fields** found in the catalog.

- 142 Want to read
- 25 Currently reading

Published
**1994**
by American Mathematical Society in Providence, R.I
.

Written in English

- Finite fields (Algebra) -- Congresses

**Edition Notes**

Includes bibliographical references

Statement | Second International Conference on Finite Fields : Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors |

Series | Contemporary mathematics -- 168, Contemporary mathematics (American Mathematical Society) -- v. 168 |

Contributions | Mullen, Gary L, Shiue, Peter Jau-Shyong, 1941- |

Classifications | |
---|---|

LC Classifications | QA247.3 .I58 1993 |

The Physical Object | |

Pagination | xxx, 402 p. : |

Number of Pages | 402 |

ID Numbers | |

Open Library | OL17950752M |

ISBN 10 | 0821851837 |

LC Control Number | 94019971 |

The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching circuits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature. The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching ciruits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature.4/5(2).

Additional Physical Format: Online version: Lidl, Rudolf. Finite fields. Reading, Mass.: Addison-Wesley Pub. Co., Advanced Book Program/World Science Division, xiv, p.: 25 cm Includes bibliographical references (p. ) and indexes 11 07Pages:

Introduction to Finite Fields and Their Applications book. Read reviews from world’s largest community for readers. The first part of this book presents 5/5(1). 2. Finite fields as splitting fields We can describe every nite eld as a splitting eld of a polynomial depending only on the size of the eld. Lemma A eld of prime power order pn is a splitting eld over F p of xp n x. Proof. Let F be a eld of order pn. From the proof of Theorem, F contains a sub eld isomorphic to Z=(p) = F p. Explicitly File Size: KB.

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The theory of finite fields is a branch of algebra that has come to the fore becasue of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching ciruits.

This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature/5(6). The theory of finite fields is a branch of modern algebra that has come to the fore in the last fifty years because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching circuits.

This book, the first one devoted entirely to this theory, provides comprehensive coverage /5(4). Book Description. 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, Cited by: "Preface The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference book for the theory and applications of nite elds.

It is not intended to be an introductory textbook. Our goal is to compile in one volume the state of the art in. A look at the topics of the proceed ings volume of the Third International Conference on Finite Fields and Their Applications (Glasgow, ) (see [18]), or at the list of references in I.

Shparlinski's book [47] (a recent extensive survey on the Theory of Finite Fields with particular emphasis on computational aspects), shows that the Brand: Springer US.

The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching ciruits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature.

About this book The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent years we have witnessed a resurgence of interest in finite fields, and this is partly due to important applications in coding theory and cryptography.

INTRODUCTION TO FINITE FIELDS of some number of repetitions of g. Thus each element of Gappears in the sequence of elements fg;g'g;g'g'g;g. ; Theorem (Finite cyclic groups) A ﬂnite group Gof order nis cyclic if and only if it is a single-generator group with generator gand with elements f0g;1g;2g;;(n¡1) Size: KB.

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. Finite ﬁelds I talked in class about the ﬁeld with two elements F2 = {0,1} and we’ve used it in various examples and homework problems.

In these notes I will introduce more ﬁnite ﬁelds F p = {0,1,p−1} for every prime number p. I’ll say a little about what linear algebra looks like over these ﬁelds, and why you might Size: 66KB.

Book Description Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields.

More than 80 international contributors compile state-of-the-art research in this definitive handbook. The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science.

This book is a collection of selected topics in the theory of finite fields and related areas. The theory of finite fields is a branch of algebra that has come to the fore becasue of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of Reviews: 1.

A look at the topics of the proceed ings volume of the Third International Conference on Finite Fields and Their Applications (Glasgow, ) (see [18]), or at the list of references in I.

Shparlinski's book [47] (a recent extensive survey on the Theory of Finite Fields with particular emphasis on computational aspects), shows that the. Finite Fields and Applications Buy Physical Book Learn about institutional subscriptions. Papers Table of contents (36 papers) About About these Galois field Graph Permutation algebra algorithms coding theory finite field scientific computing.

Editors and affiliations. A finite field is a finite set which is a field; this means that multiplication, addition, subtraction and division (excluding division by zero) are defined and satisfy the rules of arithmetic known as the field axioms.

The number of elements of a finite field is called its order or, sometimes, its size. This book provides an exhaustive survey of the most recent achievements in the theory and applications of finite fields and in many related areas such as algebraic number theory, theoretical computer science, coding theory and cryptography.

of ﬁnite ﬁelds, we refer to the books by Lidl and Niederreiter [71, 72]. Structure of Finite Fields For a prime number p, the residue class ring Z/pZ of the ring Z of integers forms a ﬁeld. We also denote Z/pZ by F p. It is a prime ﬁeld in the sense that there are no proper subﬁelds of F p.

There are exactly p elements in F Size: KB. Although the universal property of a completely free element used to accelerate arithmetic computation in finite fields has not been ascertained, this volume represents the search for such elements and leads to a deeper insight of the finite fields structure.

Annotation c. by Book News, Inc., Portland, Or. BooknewsPrice: $ This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology.

For finite fields, there is Lidl and Niederreiter, Finite Fields, which is Volume 20 in the Encyclopedia of Mathematics and its Applications.The theory of polynomials over finite fields is important for investigating the algebraic structure of finite fields as well as for many applications.

Above all, irreducible polynomials—the prime elements of the polynomial ring over a finite field—are indispensable for constructing finite fields and computing with the elements of a finite.This book provides new research in finite fields. Chapter One presents some techniques that rely on a combination of results from graph theory, finite fields, matrix theory, and finite geometry to researchers working in the area of preserver problems.

It also gives a brief presentation of this research field to other mathematicians.