Codes and Algebraic Curves

Zusatztext '... the text is clear and well-written with many helpful examples... this book should prove useful to students trying to learn about geometric codes.' Klappentext A fascinating branch of mathematics since antiquity, the geometry of curves has been extensively developed and become highly abstract. Recently links have been made with the subject of error correction, leading to the creation of geometric Goppa codes, a new and important area of coding theory. This book is an expanded and updated version of one part of the author's successful book Error-Correcting Codes and Finite Fields. Here he gives an elementary introduction to Goppa codes and includes many examples, calculations, and applications. The first part of the book emphasizes motivations, giving precedence to applications over proofs. The second part then provides the formal theory, with some concepts and proofs simplified without sacrificing rigor. Zusammenfassung This is an updated and extended version of the last part of Dr Pretzel's successful book Error Correcting Codes and Finite Fields. It provides an introduction to the geometry of curves over finite fields. and uses the theory for a detailed investigation of geometric Goppa codes, a new and important area of coding theory.

Produktdetails

• Autoren: Oliver Pretzel, Oliver (Senior Lecturer in Mathematics Pretzel
• Verlag: Oxford University Press
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 01.12.1997
• EAN: 9780198500391
• ISBN: 978-0-19-850039-1
• Seiten: 208
• Serien: Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Series in Mathe; Oxford Lecture Series in Mathematics and Its Applications; Oxford Lecture Mathematics and
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Informatik, EDV > Informatik; Sozialwissenschaften, Recht,Wirtschaft > Medien, Kommunikation > Buchhandel, Bibliothekswesen