4 edition of **Finite fields, coding theory, and advances in communications and computing** found in the catalog.

- 69 Want to read
- 27 Currently reading

Published
**1993**
by M. Dekker in New York
.

Written in English

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

**Edition Notes**

Statement | edited by Gary L. Mullen, Peter Jau-Shyong Shiue. |

Series | Lecture notes in pure and applied mathematics ;, v. 141 |

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

Classifications | |
---|---|

LC Classifications | QA247.3 .F56 1993 |

The Physical Object | |

Pagination | xxiv, 443 p. : |

Number of Pages | 443 |

ID Numbers | |

Open Library | OL1720298M |

ISBN 10 | 0824788052 |

LC Control Number | 92023503 |

in Mullen, Gary L.; Shiue, Peter Jau-Shyong (eds.), Finite fields, Coding Theory, and Advances in Communications and Computing: Proceedings of the International Graduate Texts in Mathematics (4, words) [view diff] case mismatch in snippet view article find links to article. However, two things: one, this theory is a beautiful theory, both the mathematical theory of finite fields and the coding theory, particularly of Reed-Solomon codes, which are uniquely the greatest accomplishment of algebraic coding theory, and which have proved to be very useful.

Series on Coding Theory and Cryptology Advances in Coding Theory and Cryptography, pp. () No Access. Advances in Mathematics of Communications, Vol. 11, No. 3. Finite Fields and Their Applications, Vol. 18, No. 6. An ideal structure for some quasi-cyclic error-correcting codes Finite fields, coding theory, and advances in communications and computing R E Sabin Sabin, R.E.

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. Jain, Y.-B. Lin, and S. Mohan, “Location Strategies for Personal Communications Services,” in “Tree Coding and IFS Fractals,” in Finite Fields, Coding Theory, and Advances in Communications and Computing.

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The refereed proceedings of the First International Conference on Finite Fields, Coding Theory, and Advances in Communications and Computing. The volume aims to. Finite Fields, Coding Theory, and Advances in Communications and Computing (Lecture Notes in Pure and Applied Mathematics) [Gary L.

Mullen, Peter Jau-Shyong Shiue] on *FREE* shipping on qualifying offers. The refereed proceedings of the First International Conference on Finite Fields, Coding Theory, and Advances in Communications and Computing. finite fields, coding theory, and advances in communications and computing edited by Gary L.

Mullen Pennsylvania State University University Park, Pennsylvania Peter Jau-Shyong Shiue University of Nevada Las Vegas. Nevada Marcel Dekker, Inc. New York • Basel • Hong Kong. Finite fields, coding theory, and advances in communications and computing. New York: M. Dekker, © (DLC) (OCoLC) Material Type: Conference publication, Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Gary L Mullen; Peter Jau-Shyong Shiue.

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 : Springer Netherlands.

Da Qing Wan, A 푝-adic lifting lemma and its applications to permutation polynomials, Finite fields, coding theory, and advances in communications and computing (Las Vegas, NV, ) Lecture Notes in Pure and Appl.

Math., vol.Dekker, New York,pp. – MR 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 mathematics.

Abstract. We explore a connection between permutation polynomials of the form x r f(x (q − 1)/l) and cyclotomic mapping permutation polynomials over finite an application, we characterize a class of permutation binomials in terms of generalized Lucas sequences.

Chapter 7 covers some of the applications of finite fields to other areas of mathematics, notably affine and projective geometry, combinatorics, linear modular systems, and simulation of randomness. Applications to coding theory are discussed in Chapter 8, including cyclic codes, Bose-Ray-Chaudhuri-Hocquenghem codes, and Goppa codes.

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 integers. Finite fields, pseudorandom numbers, and quasirandom points. In Finite fields, coding theory, and advances in communications and computing (Las Vegas, NV, ), vol. of Lecture Notes in Pure and Applied Mathematics, pp.

Dekker, New York, (). This book developed from a course on finite fields I gave at the University of Illinois at Urbana-Champaign in the Spring semester of The course was taught at the request of an exceptional group of graduate students (includ ing Anselm Blumer, Fred Garber, Evaggelos Geraniotis, Jim Lehnert, Wayne Stark, and Mark Wallace) who had just taken a course on coding theory from s: 3.

Permutation polynomials over finite fields in Finite Fields, Coding Theory with Advances in Comm. and Computing, Proc. of Las Vegas Conference, August,Lecture Notes in Pure and Applied Math. (), Marcel Dekker, Inc. 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. This book has long been considered one of the classic references to an important area in the fields of information theory and coding theory. This third edition has been revised and expanded, including new chapters on algebraic geometry, new classes of codes, and the essentials of the most recent developments on binary codes.

Proceedings of the international conference on finite fields, coding theory, and advances in communications and computing, held at the University of Nevada, Las Vegas, USA, August 7. Theory Ser. A 51 (), MR 90b 10 W. Schmidt, Equations over finite fields; an elementary approach, Lecture Notes in Math., vol.Springer-Verlag, Berlin and New York, MR 11 Q.

Sun and W.-B. Han, The absolute trace function and primitive roots in finite fields (in Chinese), Chinese Ann. Math. This book is intended to be accessible to undergraduate students with two years of typical mathematics experience, most likely meaning calculus with a little linear algebra and diﬀerential equations.

Gary L. Mullen and Peter Jau-Sbyong Shiue, eds., Finite Fields, Coding Theory, and Advances in Communications and Computing (Marcel Dekker, New York, ) pages. The book contains articles from a variety of topics most of which are from coding theory.

Such topics include codes over order domains, Groebner representation of linear codes, Griesmer codes, optical orthogonal codes, lattices and theta functions related to codes, Goppa codes and Tschirnhausen modules, s-extremal codes, automorphisms of codes. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August at the University of Nevada at Las Vegas.

Among the topics treated are theoretical aspects of finite fields, coding theory, cryptology, combinatorial design theory, and algorithms related to finite fields.We present probabilistic algorithms for the problems of finding an irreducible polynomial of degree n over a finite field, finding roots of a polynomial, and factoring a polynomial into its irreducible factors over a finite field.

All of these problems are of importance in algebraic coding theory, algebraic symbol manipulation, and number theory.Hill.R (), A First Course in Coding Theory, Oxford Applied Mathematics and Computing Science Series, The Clarendon Press, Oxford University Press, New York.

Hirschfeld, J.W.P. (), Rational curves on quadrics over finite fields of characteristic two, Rend. Mat. (6) 4, – ().