Designs from Linear Codes (ePub)

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 FoundationsLinear Codes over Finite FieldsCyclic Codes over Finite FieldsDesigns and CodesDesigns of Binary Reed-Muller CodesAffine Invariant Codes and Their DesignsWeights in Some BCH Codes over GF(q)Designs from Four Types of Linear CodesDesigns from Primitive BCH CodesDesigns from Codes with RegularityDesigns from QR and Self-Dual CodesDesigns from Arc and MDS CodesDesigns from Ovoid CodesQuasi-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