Description

Book Synopsis
Introduces algebraic geometric coding theory. This book covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the parameters of codes. Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors.

Table of Contents
Introduction to coding theory Bounds on codes Algebraic curves Nonsingularity and the genus Points, functions, and divisors on curves Algebraic geometry codes Good codes from algebraic geometry Abstract algebra review Finite fields Projects Bibliography.

Codes and Curves

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Codes and Curves by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 6/30/2000 12:00:00 AM
      ISBN13: 9780821826287, 978-0821826287
      ISBN10: 082182628X

      Description

      Book Synopsis
      Introduces algebraic geometric coding theory. This book covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the parameters of codes. Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors.

      Table of Contents
      Introduction to coding theory Bounds on codes Algebraic curves Nonsingularity and the genus Points, functions, and divisors on curves Algebraic geometry codes Good codes from algebraic geometry Abstract algebra review Finite fields Projects Bibliography.

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