Designs from Linear Codes

Nonfiction, Reference & Language, Language Arts, Library & Information Services, Computers, Programming, Reference
Cover of the book Designs from Linear Codes by Cunsheng Ding, World Scientific Publishing Company
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Author: Cunsheng Ding ISBN: 9789813274341
Publisher: World Scientific Publishing Company Publication: August 24, 2018
Imprint: WSPC Language: English
Author: Cunsheng Ding
ISBN: 9789813274341
Publisher: World Scientific Publishing Company
Publication: August 24, 2018
Imprint: WSPC
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

Readership: Students and professionals working on combinatorics, or coding theory, or digital communications, or finite geometries.

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