An Introduction to Algebraic and Combinatorial Coding Theory

Blake, Ian F.

ISBN 10: 0121035603 ISBN 13: 9780121035600

Published by Academic Press, 1976

Language: English

Condition: Used - Good Soft cover

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Softcover. Good binding and cover. Edge wear, creased. Small tear to wrap.

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Bibliographic Details

Title

An Introduction to Algebraic and Combinatorial Coding Theory

Publisher

Academic Press

Publication Date

1976

Language

English

ISBN 10

0121035603

ISBN 13

9780121035600

Binding

Paperback

Condition

Good

Weight

15 ounces

Seller catalogs

Mathematics

About this title

Synopsis

This book, 'An Introduction to Algebraic and Combinatorial Coding Theory', delves into the core concepts, methods, and strategies of combinatorial coding theory, encompassing linear transformations, chain groups, vector spaces, and combinatorial constructions. It commences with insights into finite fields, coding theory, and combinatorial constructions and coding. Topics explored include quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text subsequently investigates the intersection of coding and combinatorics, covering chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. It also contemplates the Mbius inversion formula, Lucas's theorem, and Mathieu groups. This publication serves as a rich resource for mathematicians and researchers intrigued by combinatorial coding theory.

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