Cargando…
Topics in Geometry, Coding Theory and Cryptography
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphe...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2007.
|
| Edición: | 1st ed. 2007. |
| Colección: | Algebra and Applications,
6 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4020-5334-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220113015213.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 ne | s |||| 0|eng d | ||
| 020 | |a 9781402053344 |9 978-1-4020-5334-4 | ||
| 024 | 7 | |a 10.1007/1-4020-5334-4 |2 doi | |
| 050 | 4 | |a QA241-247.5 | |
| 072 | 7 | |a PBH |2 bicssc | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 072 | 7 | |a PBH |2 thema | |
| 082 | 0 | 4 | |a 512.7 |2 23 |
| 245 | 1 | 0 | |a Topics in Geometry, Coding Theory and Cryptography |h [electronic resource] / |c edited by Arnaldo Garcia, Henning Stichtenoth. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2007. | |
| 300 | |a X, 201 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Algebra and Applications, |x 2192-2950 ; |v 6 | |
| 520 | |a The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches. This book presents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications; in particular the structure and the number of rational places of function fields are of great significance. The topics focus on material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present some background concerning their use. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Coding theory. | |
| 650 | 0 | |a Information theory. | |
| 650 | 0 | |a Cryptography. | |
| 650 | 0 | |a Data encryption (Computer science). | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Coding and Information Theory. |
| 650 | 2 | 4 | |a Cryptology. |
| 700 | 1 | |a Garcia, Arnaldo. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Stichtenoth, Henning. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789048173457 |
| 776 | 0 | 8 | |i Printed edition: |z 9789048110797 |
| 776 | 0 | 8 | |i Printed edition: |z 9781402053337 |
| 830 | 0 | |a Algebra and Applications, |x 2192-2950 ; |v 6 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/1-4020-5334-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||