An Introduction to Algebraic and Combinatorial Coding Theory - Softcover

Blake, Ian F.

Softcover

ISBN 10: 0121035603 ISBN 13: 9780121035600

Publisher: Academic Press, 1976

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.

Edition details

• Publisher: Academic Press
• Publication date: 1976
• Language: English
• ISBN 10: 0121035603
• ISBN 13: 9780121035600
• Binding: Paperback
• Edition number: 1
• Number of pages: 244