Completely Regular Codes in Distance Regular Graphs

Language: English

Published by Taylor and Francis Ltd, GB, 2025

1032494441 / 9781032494449

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The concept of completely regular codes 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 graphs. 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.FeaturesWritten by pioneering experts in the domainSuitable as a research reference at the master's levelIncludes extensive tables of completely regular codes in the Hamming graphFeatures a collection of up-to-date surveys.

Seller Inventory # LU-9781032494449

Title
Completely Regular Codes in Distance Regular Graphs
Author
Minjia Shi
Publisher
Taylor and Francis Ltd, GB
Publication year
2025
Condition
New
Binding
Hardback
Language
English
ISBN 10
1032494441
ISBN 13
9781032494449
Item weight
1,120 grams

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