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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.
Author(s): Henning Stichtenoth
Series: Graduate Texts in Mathematics, 254
Edition: 2
Publisher: Springer
Year: 2008
Language: English
Pages: 374