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Coding theory and number theory

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Dordrecht Kluwer academic 2003Description: xi, 148p. illISBN:
  • 1402012039 (HB)
Subject(s):
Contents:
1. Linear Codes 2. Diophantine Equations and Cyclic Codes 3. Elliptic Curves, Hecke Operators and Weight Distribution of Codes 4. Algebraic-Geometric Codes and Modular Curve Codes 5. Theta Functions and Self-Dual Codes
Summary: This introductory book, which grew out of lectures given at the Mathematics Institute of Wurzburg University, proposes a combination of coding theory and number theory. Chapter I gives a standard course of linear codes. The next two chapters treat a link between coding theory and number theory. Chapter 4 is a systematic study of algebraic geometric codes and in Chapter 5 a connection between binary linear codes and theta functions is discussed." "The book is designed to teach undergraduates and graduates the basic ideas and techniques of coding theory and number theory.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.2 HIR (Browse shelf(Opens below)) Available 49836

Includes index

Includes bibliography (p. 141-144) and references

1. Linear Codes
2. Diophantine Equations and Cyclic Codes
3. Elliptic Curves, Hecke Operators and Weight Distribution of Codes
4. Algebraic-Geometric Codes and Modular Curve Codes
5. Theta Functions and Self-Dual Codes

This introductory book, which grew out of lectures given at the Mathematics Institute of Wurzburg University, proposes a combination of coding theory and number theory. Chapter I gives a standard course of linear codes. The next two chapters treat a link between coding theory and number theory. Chapter 4 is a systematic study of algebraic geometric codes and in Chapter 5 a connection between binary linear codes and theta functions is discussed." "The book is designed to teach undergraduates and graduates the basic ideas and techniques of coding theory and number theory.

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The Institute of Mathematical Sciences, Chennai, India