algebraic geometry coding theory (141 resultados)

Softcover. Condición: Bon. Ancien livre de bibliothèque. Traces d'usure sur la couverture. Petite(s) trace(s) de pliure sur la couverture. Salissures sur la tranche. Edition 1988. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Signs of wear on the cover. Slightly creased cover. Stains on the edge. Edition 1988. Ammareal gives back up to 15% of this item's net price to charity organizations.

VIII, 223 pages: graph. Darst. Ex-Library book in good condition. 9783540556510 Sprache: Englisch Gewicht in Gramm: 550.

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

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Condición: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: first ] Publisher: World Scientific Publishing Company Pub Date: 12/18/2012 Binding: Hardcover Pages: 336 first edition.

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Softcover. Condición: New. Estado de la sobrecubierta: no dj. First. Algebraic Geometry in Modern Coding Theory presents a comprehensive and accessible introduction to the application of algebraic geometry in modern coding theory. By exploring the connections between algebraic curves, algebraic surfaces, and error-correcting codes, the author provides a deep understanding of the mathematical principles underlying modern coding systems. The book examines the role of algebraic geometry in designing and analyzing codes, including the use of algebraic curves to construct efficient and secure codes. With its unique blend of mathematical rigor and practical applications, this book is an essential resource for researchers, developers, and practitioners seeking to harness the full potential of algebraic geometry in coding theory. Through a series of in-depth case studies and examples, the book demonstrates the power and flexibility of algebraic geometry in addressing a range of coding challenges. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.

Softcover. Condición: New. Estado de la sobrecubierta: no dj. First. 'Algebraic Geometry in Modern Coding Theory' explores the application of algebraic geometric methods to develop efficient error-correcting codes. It discusses how algebraic curves and surfaces can be employed to construct codes with optimal properties, enhancing data transmission reliability. The book emphasizes the synergy between abstract algebraic concepts and practical coding solutions, illustrating their importance in digital communications, data storage, and information security. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their fields and formed small research groups made up of graduate students, postdoctoral researchers, junior faculty, and group leaders who designed and led the projects. Peer reviewed and revised, each of this volume's five papers achieves the conference's goal of using algebraic geometry to address a problem in either coding theory or cryptography. Proposed variants of the McEliece cryptosystem based on different constructions of codes, constructions of locally recoverable codes from algebraic curves and surfaces, and algebraic approaches to the multicast network coding problem are only some of the topics covered in this volume. Researchers and graduate-level students interested in the interactions between algebraic geometry and both coding theory and cryptography will find this volume valuable.