Elements of Algebraic Coding Theory

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.

Auteur

Lekh R. Vermani

Texte du rabat

Coding theory came into existence in the late 1940s 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.

Contenu

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.