Algebraic Coding Theory Over Finite Commutative Rings

• Main Author: Dougherty, Steven T. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Information theory.; Associative Rings and Algebras.; Information and Communication, Circuits.

This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject. Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the...

Table of Contents:

• Introduction
• Ring Theory
• MacWilliams Relations
• Families of Rings
• Self-Dual Codes
• Cyclic and Constacyclic Codes.