The Resource Introduction to finite fields and their applications, Rudolf Lidl, Harald Niederreiter

Introduction to finite fields and their applications, Rudolf Lidl, Harald Niederreiter

Label
Introduction to finite fields and their applications
Title
Introduction to finite fields and their applications
Statement of responsibility
Rudolf Lidl, Harald Niederreiter
Creator
Contributor
Subject
Language
eng
Summary
  • 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, emphasising those aspects that are relevant for application. 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 meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science
  • Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject
Cataloging source
DLC
http://library.link/vocab/creatorName
Lidl, Rudolf
Index
index present
LC call number
QA247.3
LC item number
.L54 1994
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1944-
http://library.link/vocab/relatedWorkOrContributorName
Niederreiter, Harald
http://library.link/vocab/subjectName
  • Finite fields (Algebra)
  • Corps finis
  • Finite fields (Algebra)
  • Codage
  • Cryptographie
  • Corps finis
  • Galois-Feld
Label
Introduction to finite fields and their applications, Rudolf Lidl, Harald Niederreiter
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 399-405) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Algebraic Foundations -- Ch. 2. Structure of Finite Fields -- Ch. 3. Polynomials over Finite Fields -- Ch. 4. Factorization of Polynomials -- Ch. 5. Exponential Sums -- Ch. 6. Linear Recurring Sequences -- Ch. 7. Theoretical Applications of Finite Fields -- Ch. 8. Algebraic Coding Theory -- Ch. 9. Cryptology -- Ch. 10. Tables
Dimensions
24 cm
Edition
Rev. ed.
Extent
xi, 416 pages
Isbn
9780521460941
Isbn Type
(hardback)
Lccn
93049020
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)29597627
  • (OCoLC)ocm29597627
Label
Introduction to finite fields and their applications, Rudolf Lidl, Harald Niederreiter
Publication
Bibliography note
Includes bibliographical references (p. 399-405) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ch. 1. Algebraic Foundations -- Ch. 2. Structure of Finite Fields -- Ch. 3. Polynomials over Finite Fields -- Ch. 4. Factorization of Polynomials -- Ch. 5. Exponential Sums -- Ch. 6. Linear Recurring Sequences -- Ch. 7. Theoretical Applications of Finite Fields -- Ch. 8. Algebraic Coding Theory -- Ch. 9. Cryptology -- Ch. 10. Tables
Dimensions
24 cm
Edition
Rev. ed.
Extent
xi, 416 pages
Isbn
9780521460941
Isbn Type
(hardback)
Lccn
93049020
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)29597627
  • (OCoLC)ocm29597627

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