Introduction to Coding Theory and Algebraic Geometry
Book information
Description
Front Matter....Pages 1-7 Front Matter....Pages 9-9 Finite fields....Pages 11-12 Error-correcting codes....Pages 13-14 Linear codes....Pages 15-16 Cyclic codes....Pages 17-21 Classical Goppa codes....Pages 22-24 Bounds on codes....Pages 25-27 Self-dual codes....Pages 28-29 Codes from curves....Pages 30-32 Back Matter....Pages 33-33 Front Matter....Pages 35-35 Introduction....Pages 36-36 Elementary concepts from algebraic geometry....Pages 37-44 Divisors on algebraic curves....Pages 45-54 Goppa Codes....Pages 55-65 Counting points on curves over finite fields....Pages 66-72 Shimura curves and codes....Pages 73-81 Back Matter....Pages 82-85
Similar books
Electricity in the 17th and 18th Centuries: A Study in Early Modern Physics
1999 · PDF
Matter and Motion
1952 · PDF
Springer-Verlag: History of a Scientific Publishing House: Part 2: 1945 - 1992. Rebuilding - Opening Frontiers - Securing the Future
1996 · PDF
The Mathematical Experience, Study Edition
2011 · PDF
Aquinas on Metaphysics: A Historico-Doctrinal Study of the Commentary on the Metaphysics
1972 · PDF
Symmetry Analysis of Differential Equations with Mathematica®
2000 · PDF
Exploring Abstract Algebra with Mathematica®
1999 · PDF
Compendium of Quantum Physics: Concepts, Experiments, History and Philosophy
2009 · PDF