| Titre : |
Applications of finite fields |
| Type de document : |
texte imprimé |
| Auteurs : |
Alfred J. Menezes, Éditeur scientifique ; Ian F. Blake, Éditeur 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, Éditeur scientifique ; Ian F. Blake, Éditeur 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.
... |
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