Codes and Rings
eBook - ePub

Codes and Rings

Theory and Practice

  1. 318 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Codes and Rings

Theory and Practice

About this book

Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. - Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature - Discusses duality formulas in the context of Frobenius rings - Reviews decomposition of quasi-cyclic codes under ring action - Evaluates the ideal and modular structure of skew-cyclic codes - Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

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Yes, you can access Codes and Rings by Minjia Shi,Adel Alahmadi,Patrick Solé in PDF and/or ePUB format, as well as other popular books in Matematica & Teoria economica. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Foreword
  6. Introduction
  7. Chapter 1: Motivation
  8. Chapter 2: Rings
  9. Chapter 3: Distances
  10. Chapter 4: Few Weight Codes
  11. Chapter 5: Linear Codes
  12. Chapter 6: Self-dual Codes
  13. Chapter 7: Cyclic Codes
  14. Chapter 8: Quasicyclic Codes
  15. Chapter 9: Quasitwisted Codes
  16. Chapter 10: Generalized Quasicyclic Codes
  17. Chapter 11: Skew Cyclic Codes
  18. Chapter 12: MDR Codes
  19. Chapter 13: Convolutional Codes
  20. Chapter 14: Character Sums
  21. Index