Codes and Curves

By Walker, Judy L.

Book Id: WPLBN0000661651
Format Type: PDF eBook:
File Size: 0.4 MB
Reproduction Date: 2005

Title:	Codes and Curves
Author:	Walker, Judy L.
Volume:
Language:	English
Subject:	Science., Mathematics, Logic
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Historic Publication Date:
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Citation APA MLA Chicago L. Walke, B. J. (n.d.). Codes and Curves. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: Points, Functions, Divisors on Curves; Algebraic Geometry Codes; Good Codes from Algebraic Geometry; and Abstract Algebra Review.

Table of Contents
Contents IAS/Park City Mathematics Institute ix Preface xi Chapter 1. Introduction to Coding Theory 1 x1.1. Overview 1 x1.2. Cyclic Codes 6 Chapter 2. Bounds on Codes 9 x2.1. Bounds 9 x2.2. Asymptotic Bounds 12 Chapter 3. Algebraic Curves 17 x3.1. Algebraically Closed Fields 17 x3.2. Curves and the Projective Plane 18 Chapter 4. Nonsingularity and the Genus 23 x4.1. Nonsingularity 23 x4.2. Genus 26 viiChapter 5. Points, Functions, and Divisors on Curves 29 Chapter 6. Algebraic Geometry Codes 37 Chapter 7. Good Codes from Algebraic Geometry 41 Appendix A. Abstract Algebra Review 45