eBook - ePub

Completely Regular Codes in Distance Regular Graphs

Name: Completely Regular Codes in Distance Regular Graphs
ISBN: 9781040309063

Minjia Shi,

Patrick Solé,

504 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Completely Regular Codes in Distance Regular Graphs

Minjia Shi,

Patrick Solé,

About this book

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.

Features

Written by pioneering experts in the domain
Suitable 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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Yes, you can access Completely Regular Codes in Distance Regular Graphs by Minjia Shi,Patrick Solé in PDF and/or ePUB format, as well as other popular books in Mathematics & Cryptography. We have over one million books available in our catalogue for you to explore.