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Completely Regular Codes in Distance Regular Graphs
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Completely Regular Codes in Distance Regular Graphs

Book Details

Format Hardback or Cased Book
ISBN-10 1032494441
ISBN-13 9781032494449
Publisher Taylor & Francis Ltd
Imprint Chapman & Hall/CRC
Country of Manufacture GB
Country of Publication GB
Publication Date Mar 13th, 2025
Print length 512 Pages
Weight 1,120 grams
Ksh 31,500.00
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This book provides, for the first time, a definitive source for the main theoretical notions underpinning this fascinating area of study. It also supplies several useful surveys of constructions using Coding Theory, Design Theory and Finite Geometry in the various families of distance regular graphs of large diameters.

The concept of completely regular code was introduced by Delsarte in his celebrated 1973 thesis which created the field of Algebraic Combinatorics. This notion was extended by several authors from classical codes over finite fields to codes in distance-regular graphs. Half a century later, there was no book dedicated uniquely to this notion. Most of Delsarte examples were in the Hamming and Johnson graph. In recent years many examples were constructed in other distance regular graphs including q-analogues of the previous, and the Doob graph.

Completely Regular Codes in Distance Regular Graphs provides, for the first time, a definitive source for the main theoretical notions underpinning this fascinating area of study. It also supplies several useful surveys of constructions using Coding Theory, Design Theory and Finite Geometry in the various families of distance regular graphs of large diameters.

Features

  • Written by pioneering experts in the domain
  • Suitable as a as a research reference at the master’s level
  • Includes extensive tables of completely regular codes in the Hamming graph
  • Features a collection of up-to-date surveys.

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