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

Type 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 rings94A60, Communication, information, Cryptography

11T71, Number theory - Finite fields and commutative rings, Algebraic coding theory; cryptography

94B15, Theory of error-correcting codes and error-detecting codes, Cyclic codes

05B25, Combinatorics - Designs and configurations, Combinatorial aspects of finite geometriesEn-ligne : Résumé, sommaire | Zentralblatt | MathSciNet

Current location | Call number | Status | Date due | Barcode |
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CMI Salle R | 11 LID (Browse shelf) | Available | 10876-02 | |

CMI Salle R | 11 LID (Browse shelf) | Available | 10876-01 |

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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