Elements of Algebraic Coding Theory

Coding theory came into existence in the late 1940's and is concerned with devising efficient encoding and decoding procedures.
The book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text. BCH and cyclic, Group codes, Hamming codes, polynomial as well as many other codes are introduced in this textbook. Incorporating numerous worked examples and complete logical proofs, it is an ideal introduction to the fundamental of algebraic coding.

List of contents

Group codes. Polynomial codes. Hamming codes. Finite fields and BCH codes. Linear codes. Cyclic codes. Factorization of polynomials. Quadratic Residue codes. Maximum distance separable codes. Automorphisms group of a code. Hadamard matrices and hadamard codes. Bibliography. Index.

About the author

Vermani, L.R.

Summary

This book is intended as a principal text for first courses in coding and algebraic coding theory, and is aimed at advanced undergraduates and recent graduates as both a course and self-study text.

Product details

• Authors: L. R. Vermani, L.R. Vermani, Lekh R. Vermani, Vermani Lekh R.
• Publisher: Springer Netherlands
• Languages: English
• Product format: Paperback / Softback
• Released: 17.04.2014
• EAN: 9780412573804
• ISBN: 978-0-412-57380-4
• No. of pages: 254
• Weight: 415 g
• Series: Chapman and Hall Mathematics Series; Chapman Hall/CRC Mathematics Series; Chapman Hall/CRC Mathematics Series; Chapman and Hall Mathematics Series
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > IT; Social sciences, law, business > Media, communication > Book trade, library system; Algebra, COMPUTERS / Information Theory, MATHEMATICS / Algebra / General, MATHEMATICS / Combinatorics, Combinatorics & graph theory, Information theory, Combinatorics and graph theory