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

Auteur principal : Lidl, Rudolf, 1948-, AuteurCo-auteur : Niederreiter, Harald, 1944-, AuteurType de document : MonographieLangue : anglais.Pays: Grande Bretagne.Mention d'édition: revised ed.Éditeur : Cambridge : Cambridge University Press, cop. 1994Description : 1 vol. (XI-416 p.) ; 24 cmISBN: 9780521460941.Bibliographie : Bibliogr. p. 399-405. Index.Sujet MSC : 11Txx, Number theory - Finite fields and commutative rings
94A60, Communication, information, Cryptography
11T71, Number theory - Finite fields and commutative rings, Algebraic coding theory; cryptography
94B15, Information and communication theory, circuits - Theory of error-correcting codes and error-detecting codes, Cyclic codes
05B25, Combinatorics - Designs and configurations, Combinatorial aspects of finite geometries
En-ligne : Résumé, sommaire | Zentralblatt | MathSciNet
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 Monographie Monographie CMI
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 Monographie Monographie CMI
Salle 1
11 LID (Browse shelf(Opens below)) Available 10876-02

Autres tirages : 1997, 2000

Bibliogr. p. 399-405. Index

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 updated edition 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 of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in 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. (Source : CUP)

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