Tohăneanu Ştefan Ovidiu I. Commutative Algebra Methods for Coding Theory

De Gruyter, 2024. — 276 p. — (De Gruyter Studies in Mathematics 97).This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90’s, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.
Gathers as many results as possible which can lead to developing new approaches and coding.
Presents the natural connections between commutative algebra and coding theory topics and concepts.Dedication
Introduction
Preliminaries
Ideals generated by fold products of linear forms
Fat points defining linear codes
Evaluation codes
Additional topics
Bibliography
Index of notations
Index