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Applications of finite fields

Public ISBD Titre : Applications of finite fields Type de document : texte imprimé Auteurs : Alfred J. Menezes, Editeur scientifique ; Ian F. Blake, Editeur scientifique Editeur : New York : McGraw-Hill Année de publication : 1993 Collection : McGraw-Hill electrical and electronic engineering series Sous-collection : Communications and information theory num. 199 Importance : XI-209 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-7923-9282-8 Note générale : Bibliogr. p. 211-214. Index Langues : Anglais (eng) Mots-clés : Engineering  mathematics Finite  fields  (Algebra) Codage Mathématiques  de  l'ingénieur Information,  Théorie  de  l' Corps  finis Index. décimale : 517.944 Equations aux dérivées partielles: généralités. Résumé : This book focuses attention on some specific recent developments in the theory and applications of finite fields. While the topics selsted are treated in some depth, applications of finite fields does not attempt to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in constructing good error-correcting codes. Note de contenu : Contents: * Introduction to finite fields and bases. * Factoring polynomials over finite fields. * Construction of irreducible polynomials. * Normal bases. * Optimal normal bases. * The discrete logarithm problem. ... Applications of finite fields [texte imprimé] / Alfred J. Menezes, Editeur scientifique ; Ian F. Blake, Editeur scientifique . - , 1993 . - XI-209 p. : ill. ; 24 cm. - (. Communications and information theory; 199) . ISBN : 978-0-7923-9282-8 Bibliogr. p. 211-214. Index Langues : Anglais (eng) Mots-clés : Engineering  mathematics Finite  fields  (Algebra) Codage Mathématiques  de  l'ingénieur Information,  Théorie  de  l' Corps  finis Index. décimale : 517.944 Equations aux dérivées partielles: généralités. Résumé : This book focuses attention on some specific recent developments in the theory and applications of finite fields. While the topics selsted are treated in some depth, applications of finite fields does not attempt to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in constructing good error-correcting codes. Note de contenu : Contents: * Introduction to finite fields and bases. * Factoring polynomials over finite fields. * Construction of irreducible polynomials. * Normal bases. * Optimal normal bases. * The discrete logarithm problem. ...

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
041513	517.944 APP	Papier	Bibliothèque Centrale	Mathématiques	Disponible