Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due to either interferences in the telecommunications or degradation of the information-storing support (for instance, compact disc). An error-correcting code thus adds extra information to the message to be transmitted with the aim of recovering the sent information. With contributions from renowned researchers, this pioneering book will be of value to mathematicians, computer scientists, and engineers in information theory.Decoding algebraic-geometric codes by solving a key equation. In Coding theory and algebraic geometry (Luminy, 1991), volume 1518 of Lecture Notes in Math., pages 18a25. Springer, Berlin ... G. David Forney, Jr. On decoding BCH codes.

Title | : | Advances in Algebraic Geometry Codes |

Author | : | Edgar Martínez-Moro |

Publisher | : | World Scientific - 2008-10-08 |

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