Designs from Linear Codes
eBook - ePub

Designs from Linear Codes

  1. 392 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Designs from Linear Codes

About this book

This monograph aims to provide a well-rounded and detailed account of designs using linear codes. Most chapters of this monograph cover on the designs of linear codes. A few chapters deal with designs obtained from linear codes in other ways. Connections among ovals, hyperovals, maximal arcs, ovoids, linear codes and designs are also investigated. This book consists of both classical results on designs from linear codes and recent results yet published by others.

This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications, or finite geometry.


Contents:

  • Mathematical Foundations
  • Linear Codes over Finite Fields
  • Cyclic Codes over Finite Fields
  • Designs and Codes
  • Designs of Binary Reed-Muller Codes
  • Affine Invariant Codes and Their Designs
  • Weights in Some BCH Codes over GF( q )
  • Designs from Four Types of Linear Codes
  • Designs from Primitive BCH Codes
  • Designs from Codes with Regularity
  • Designs from QR and Self-Dual Codes
  • Designs from Arc and MDS Codes
  • Designs from Ovoid Codes
  • Quasi-Symmetric Designs from Bent Codes


Readership: Students and professionals working on combinatorics, or coding theory, or digital communications, or finite geometries.
Mechanics;Engineering Mechanics;Structural Engineering;Civil Engineering

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Yes, you can access Designs from Linear Codes by Cunsheng Ding in PDF and/or ePUB format, as well as other popular books in Computer Science & Programming. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Contents
  6. 1. Mathematical Foundations
  7. 2. Linear Codes over Finite Fields
  8. 3. Cyclic Codes over Finite Fields
  9. 4. Designs and Codes
  10. 5. Designs of Binary Reed-Muller Codes
  11. 6. Affine Invariant Codes and Their Designs
  12. 7. Weights in Some BCH Codes over GF(q)
  13. 8. Designs from Four Types of Linear Codes
  14. 9. Designs from Primitive BCH Codes
  15. 10. Designs from Codes with Regularity
  16. 11. Designs from QR and Self-Dual Codes
  17. 12. Designs from Arc and MDS Codes
  18. 13. Designs from Oviod Codes
  19. 14. Quasi-Symmetric Designs from Bent Codes
  20. Appendix A Designs from Binary Codes with Regularities
  21. Bibliography
  22. Index