Introduction to Coding Theory and Algebraic Geometry
Fr. 45.90
inkl. gesetzl. MwSt.Beschreibung
Details
Einband
Taschenbuch
Erscheinungsdatum
05.10.2011
Verlag
Springer BaselSeitenzahl
85
Maße (L/B/H)
25/17/0.6 cm
These notes are based on lectures given in the semmar on "Coding Theory and Algebraic Geometry" held at Schloss Mickeln, Diisseldorf, November 16-21, 1987. In 1982 Tsfasman, Vladut and Zink, using algebraic geometry and ideas of Goppa, constructed a seqeunce of codes that exceed the Gilbert-Varshamov bound. The result was considered sensational. Furthermore, it was surprising to see these unrelated areas of mathematics collaborating. The aim of this course is to give an introduction to coding theory and to sketch the ideas of algebraic geometry that led to the new result. Finally, a number of applications of these methods of algebraic geometry to coding theory are given. Since this is a new area, there are presently no references where one can find a more extensive treatment of all the material. However, both for algebraic geometry and for coding theory excellent textbooks are available. The combination ofthe two subjects can only be found in a number ofsurvey papers. A book by C. Moreno with a complete treatment of this area is in preparation. We hope that these notes will stimulate further research and collaboration of algebraic geometers and coding theorists. G. van der Geer, J.H. van Lint Introduction to CodingTheory and Algebraic Geometry PartI -- CodingTheory Jacobus H. vanLint 11 1. Finite fields In this chapter we collect (without proof) the facts from the theory of finite fields that we shall need in this course.
Weitere Bände von Oberwolfach Seminars
-
Zur Artikeldetailseite von Complex Differential Geometry des Autors S. Kobayashi
Band 3S. Kobayashi
Complex Differential GeometryBuch
Fr. 72.90
-
Zur Artikeldetailseite von Topics in the Geometry of Projective Space des Autors R. Lazarsfeld
Band 4R. Lazarsfeld
Topics in the Geometry of Projective SpaceBuch
Fr. 39.90
-
Zur Artikeldetailseite von Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics des Autors Y.-T. Siu
Band 8Y.-T. Siu
Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein MetricsBuch
Fr. 119.00
-
Zur Artikeldetailseite von Seminar on Empirical Processes des Autors P. Gaenssler
Band 9P. Gaenssler
Seminar on Empirical ProcessesBuch
Fr. 72.90
-
Zur Artikeldetailseite von Nonlinear Methods in Riemannian and Kählerian Geometry des Autors J. Jost
Band 10J. Jost
Nonlinear Methods in Riemannian and Kählerian GeometryeBook
Fr. 44.90
-
Zur Artikeldetailseite von Surgery Theory and Geometry of Representations des Autors T. Tom Dieck
Band 11T. Tom Dieck
Surgery Theory and Geometry of RepresentationsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Introduction to Coding Theory and Algebraic Geometry des Autors J. van Lint
Band 12J. van Lint
Introduction to Coding Theory and Algebraic GeometryBuch
Fr. 45.90
-
Zur Artikeldetailseite von Asymptotic Statistics des Autors Manfred Denker
Band 14Manfred Denker
Asymptotic StatisticsBuch
Fr. 39.90
-
Zur Artikeldetailseite von Mathematical Theory of Finite and Boundary Element Methods des Autors Schatz
Band 15Schatz
Mathematical Theory of Finite and Boundary Element MethodsBuch
Fr. 66.90
-
Zur Artikeldetailseite von Stochastic Approximation and Optimization of Random Systems des Autors L. Ljung
Band 17L. Ljung
Stochastic Approximation and Optimization of Random SystemsBuch
Fr. 39.90
-
Zur Artikeldetailseite von Group Rings and Class Groups des Autors K.W. Roggenkamp
Band 18K.W. Roggenkamp
Group Rings and Class GroupsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Information Bounds and Nonparametric Maximum Likelihood Estimation des Autors P. Groeneboom
Band 19P. Groeneboom
Information Bounds and Nonparametric Maximum Likelihood EstimationBuch
Fr. 72.90
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen