Contents
IAS/Park City Mathematics Institute ix
Preface
Chapter 1. Introduction to Coding Theory 1
§1.1. Overview 1
§1.2. Cyclic Codes 6
Chapter 2. Bounds on Codes 9
§2.1. Bounds 9
§2.2. Asymptotic Bounds 12
Chapter 3. Algebraic Curves 17
§3.1. Algebraically Closed Fields 17
§3.2. Curves and the Projective Plane 18
Chapter 4. Nonsingularity and the Genus 25
§4.1. Nonsingularity 25
§4.2. Genus 28
Chapter 5. Points, Functions, and Divisors on Curves 31
Chapter 6. Algebraic Geometry Codes 39
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