Codes and Algebraic Curves

By: Oliver Pretzel

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Hardcover | 8 January 1998

At a Glance

Hardcover
208 Pages

Dimensions(cm)
23.39 x 15.6 x 1.27

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$166.05

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The geometry of curves has fascinated mathematicians for 2500 years, and the theory has 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 updated and extended version of the last part of the successful book Error-Correcting Codes and Finite Fields. It provides an elementary introduction to Goppa codes, and includes many examples, calculations, and applications. The book is in two parts with an emphasis on motivation, and applications of the theory take precedence over proofs of theorems. The formal theory is, however, provided in the second part of the book, and several of the concepts and proofs have been simplified without sacrificing rigour.

Industry Reviews

The text is written in an approachable style. ' So, to learn enough algebraic geometry to understand Goppa's codes, a student could take this book and study it with advantage...gives any student an excellent start' Bulletin London Mathematical Society

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