Elementary number theory, cryptography and codes
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 codin...
Wedi'i Gadw mewn:
| Prif Awduron: | , , , , |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Rhifyn: | 1st ed. 2009. |
| Cyfres: | Universitext
|
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Elementary number theory, cryptography and codes, Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo, Berlin, Springer, 2009, 1 vol. (XVI-522 p.), Universitext, 978-3-540-69199-0 • Elementary Number Theory, Cryptography and Codes, Texte imprimé, 9783540865070 • Elementary number theory, cryptography and codes, Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo, Berlin, Springer, 2009, 1 vol. (XVI-522 p.), Universitext, 978-3-540-69199-0 |
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| 008 | 090420q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN132867664 | ||
| 020 | |a 9783540692003 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 084 | |a 11G05. 2000 | ||
| 084 | |a 14G50. 2000 | ||
| 084 | |a 94B05. 2000 | ||
| 100 | 1 | |a Baldoni, Maria Welleda, |d 1949- | |
| 245 | 1 | 0 | |a Elementary number theory, cryptography and codes |c by Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Description d'après consultation du 26 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. Though the book contains advanced material, such as cryptography on elliptic curves, Goppa codes using algebraic curves over finite fields, and the recent AKS polynomial primality test, the authors' objective has been to keep the exposition as self-contained and elementary as possible. Therefore the book will be useful to students and researchers, both in theoretical (e.g. mathematicians) and in applied sciences (e.g. physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. The book will also be useful for teachers who intend to give courses on these topics | ||
| 700 | 1 | |a Ciliberto, Ciro, |d 1950- |4 aut | |
| 700 | 1 | |a Piacentini Cattaneo, Giulia Maria, |d 1945- |4 aut | |
| 700 | 1 | |a Ciliberto, Ciro. |4 aut | |
| 700 | 1 | |a Cattaneo, Giulia Maria Piacentini. |4 aut | |
| 776 | 0 | |0 131056131 |t Elementary number theory, cryptography and codes |f Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo |c Berlin |n Springer |d 2009 |p 1 vol. (XVI-522 p.) |s Universitext |z 978-3-540-69199-0 | |
| 776 | 0 | |t Elementary Number Theory, Cryptography and Codes |b Texte imprimé |z 9783540865070 | |
| 776 | 0 | |0 131056131 |t Elementary number theory, cryptography and codes |f Maria Welleda Baldoni, Ciro Ciliberto, Giulia Maria Piacentini Cattaneo |c Berlin |n Springer |d 2009 |p 1 vol. (XVI-522 p.) |s Universitext |z 978-3-540-69199-0 | |
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| 997 | |0 941177 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||