Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Baldoni, M. Welleda (1949-....)
Titre(s) : Elementary number theory, cryptography and codes [Texte électronique] / Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo
Publication : Berlin : Springer, cop. 2009
Description matérielle : 1 ressource dématérialisée
Collection : Universitext
Note(s) : Originally published in Italian as: Aritmetica, crittografia e codici. Milano : Springer,
2006. - Includes bibliographical references (pages 507-509) and index
In this volume one finds basic techniques from algebra and number theory (e.g. congruences,
unique factorization domains, finite fields, quadratic residues, primality tests,
continued fractions, etc.) which in recent years have proven to be extremely useful
for applications to cryptography and coding theory. Both cryptography and codes have
crucial applications in our daily lives, and they are described here, while the complexity
problems that arise in implementing the related numerical algorithms are also taken
into due account. Cryptography has been developed in great detail, both in its classical
and more recent aspects. In particular public key cryptography is extensively discussed,
the use of algebraic geometry, specifically of elliptic curves over finite fields,
is illustrated, and a final chapter is devoted to quantum cryptography, which is the
new frontier of the field. Coding theory is not discussed in full; however a chapter,
sufficient for a good introduction to the subject, has been devoted to linear codes.
Each chapter ends with several complements and with an extensive list of exercises,
the solutions to most of which are included in the last chapter
Autre(s) auteur(s) : Ciliberto, Ciro (1950-....). Fonction indéterminée
Piacentini Cattaneo, Giulia Maria. Fonction indéterminée
Sujet(s) : Théorie des nombres
Cryptographie
Codage
Chiffres (cryptographie)
Indice(s) Dewey :
511 (23e éd.) = Principes généraux des mathématiques
Identifiants, prix et caractéristiques : ISBN 9783540692003
Identifiant de la notice : ark:/12148/cb44694204t
Notice n° :
FRBNF44694204
(notice reprise d'un réservoir extérieur)
Table des matières : A round-up on numbers ; Computational complexity ; From infinite to finite ; Finite
is not enough: factoring integers ; Finite fields and polynomial congruences ; Primality
and factorisation tests ; Secrets ... and lies ; Transmitting without ... fear of
errors ; The future is already here" quantum cryptography.
