3 edition of **Finite fields with applications to coding theory, cryptography, and related areas** found in the catalog.

Finite fields with applications to coding theory, cryptography, and related areas

International Conference on Finite Fields and Applications (6th 2001 Oaxaca de JuГЎrez, Mexico)

- 108 Want to read
- 35 Currently reading

Published
**2002**
by Springer in Berlin, New York
.

Written in English

- Finite fields (Algebra) -- Congresses.,
- Coding theory -- Congresses.,
- Cryptography -- Congresses.

**Edition Notes**

Includes bibliographical references and index.

Statement | Gary L. Mullen, Henning Stichtenoth, Horacio Tapia-Recillas, editors. |

Genre | Congresses. |

Contributions | Mullen, Gary L., Stichtenoth, H. 1944-, Tapia-Recillas, Horacio, 1945- |

Classifications | |
---|---|

LC Classifications | QA247.3 .I57 2001 |

The Physical Object | |

Pagination | ix, 334 p. : |

Number of Pages | 334 |

ID Numbers | |

Open Library | OL22487566M |

ISBN 10 | 3540439617 |

The conference was widely attended by students and junior scientists from throughout Europe and the USA. The theme addressed by these papers is combinatorial mathematics, as used in applications related to information security, cryptography and coding theory. Together they cover several topics subject to current research in the field. Algebraic Geometry in Coding Theory and Cryptography Book Description: This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography.

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. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer. Finite-field wavelets and their applications in cryptography and coding. [Faramarz Fekri; Farshid Delgosha] Brief Review of Number Theory and Finite Fields. Discrete Fourier Transform over Finite Fields. Basefield Transforms over Finite Fields. \u00A0\u00A0\u00A0 schema:name\/a> \" Finite-field wavelets and their applications in.

The major focus of the research will be in applied and theoretic cryptography. CG's research areas can be broadly categorized as follows: Design and analysis of pseudorandom sequences, Elliptic and Hyperelliptic curve cryptography, Computational number theory, Coding theory, Computational methods in quadratic fields, algorithms for finite. The purpose of channel coding theory is to find codes which transmit quickly, contain many valid code words and can correct or at least detect many errors. While not mutually exclusive, performance in these areas is a trade off. So, different codes are optimal for different applications.

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Basic courses in finite fields. cryptography and coding theory and a series of lectures at local educational institutions. Finite fields have an inherently fascinating structure and they are im portant tools in discrete mathematics. Their applications range from com binatorial design tlwory, finite geollletries, and algebraic geometry to codingFile Size: KB.

The program of the conference consisted of four full days and one half day of sessions, with 7 invited plenary talks, close to 60 contributed talks, basic courses in finite fields. cryptography and coding theory and a series of lectures at local educational : Gary L.

Mullen. Finite Fields with Applications to Coding Theory, Cryptography and Related Areas Proceedings of the Sixth International Conference on Finite Fields and Applications.

Finite Fields with Applications to Coding Theory, Cryptography and Related Areas: Proceedings of the Sixth International Conference on Finite Fields held at Oaxaca, Mxico, May This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of by: Book description 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.

This book contains 23 contributions presented at the "International Conference on Coding Theory, Cryptography and Related Areas (ICCC)", held in Guanajuato, Mexico, in April It comprises a series of research papers on various aspects of coding theory.

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.

Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite 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.

Coding Theory, Cryptography and Related Areas Proceedings of an International Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico, in April Zeta Functions of Curves over Finite Fields with Many Rational Points Kristin Lauter.

Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication.

Finite fields are algebraic structures in which there is much research interest and they have been shown to have a wide range of applications. These proceedings give a state-of-the-art account of the area of finite fields and their applications in communications (coding theory, cryptology), combinatorics, design theory, quasirandom points.

Following the introductory chapter, the book proceeds through three main areas of application: combinatorics, algebraic coding theory, and cryptography. The combinatorics chapter centers around the study of Latin squares, a concept familiar with anybody who has ever done a Sudoku puzzle and which has a number of real-world applications.

Applications, Cambridge University Press, ], [R. McEliece, Finite Fields for Computer Scientists and Engineers, Kluwer, ], [M. Schroeder, Number Theory in Science and Com-munication, Springer, ], or indeed any book on ﬂnite ﬂelds or algebraic coding theory.

The integersFile Size: KB. The book provides a brief introduction to the theory of finite fields and to some of their applications. It is accessible for advanced undergraduate students EMS Newsletter. This book gives a quick, clear introduction to finite fields and discusses applications in combinatorics, algebraic coding theory, and cryptography.

This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the. We present in this article the basic properties of projective geometry, coding theory, and cryptography, and show how finite geometry can contribute to coding theory and cryptography.

Gary L. Mullen and Carl Mummert's "Finite Field and Applications" introduces the error-correcting codes (algebraic coding theory) and the related mathematics. The book has four chapters. They are: finite fields, combinatorics, algebraic coding theory, and cryptography.5/5(1).

Function Fields over Finite Fields and Their Applications 59 1 Introduction 59 2 Applications to Combinatorial Cryptography 60 3 Applications to Stream Ciphers and Linear Complexity In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules.

The most common examples of finite fields are given by the integers mod p when p is a. 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.[5] Finite Fields with Applications to Coding Theory, Cryptography and Related. Areas (ed., with G. Mullen and H. Tapia-Recillas), Proceedings of the 6th International. Conference on Finite Fields and Applications, Springer-Verlag, Berlin, ().

[4] Coding Theory, Cryptography and Related Areas (ed., with J. Buchmann, T.The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas.

The book provides a comprehensive index and easy access to over 3, references, enabling you to quickly locate up-to-date.