I: Coding Theory.- 1. Finite fields.- 2. Error-correcting codes.- 3. Linear codes.- 4. Cyclic codes.- 5. Classical Goppa codes.- 6. Bounds on codes.- 7. Self-dual codes.- 8. Codes from curves.- References.- II: Algebraic Geometry.- I. Elementary concepts from algebraic geometry.- II. Divisors on algebraic curves.- III. Goppa Codes.- IV. Couting points on curves over finite fields.- V. Shimura curves and codes.- Index of notations.
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