Algebraic Coding Theory Over Finite Commutative Rings

ISBN-13: 9783319598055 / Angielski / Miękka / 2017 / 103 str.

Steven T. Dougherty

Recenzje

"This book offers a comprehensive and thorough presentation of crucial research of the field of algebraic coding theory over finite commutative rings, particularly over finite Frobenius rings. It is also a good guide to the literature on the subject. ... This book will be of interest to graduate students and to anyone working in the field of algebraic coding theory, and its applications." (Piroska Lakatos, zbMATH 1375.94002, 2018)

Spis treści

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

O autorze

Steven T. Dougherty is professor of mathematics and the 2005 recipient of the Hasse Prize. He has authored numerous publications in coding theory, algebra, combinatorics, number theory and game theory. He has lectured extensively in eleven different countries.