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.Cyclic codes and classical Goppa codes A F-linear code C of length n with coordinates {0, 1, ..., na1} is cyclic if, after identifying ... Reed-Solomon and BCH codes Of particular interest among cyclic codes are BCH codes, that are defined with aanbsp;...

Title | : | Advances in Algebraic Geometry Codes |

Author | : | Edgar Martínez-Moro |

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

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